IP Library › Granted Patent US 10,855,398

Granted Patent B2

US 10,855,398 · App. 15/741,424 · Granted Dec 1, 2020

Coding and modulation apparatus using non-uniform constellation

Inventors: Thomas Handte (Stuttgart, DE); Daniel Schneider (Stuttgart, DE); Nabil Sven Loghin (Stuttgart, DE); Ben Eitel (Stuttgart, DE)

Assignee: SONY CORPORATION

H04L1/0045 H03M13/1105 H03M13/255 H04L1/0061 H04L27/2614 H04L27/3416

View Patent ↗

Loading inventors, assignments & file history…

Monitor This Case

Get email alerts when status or documents change.

Order Certified Copies

Most orders are placed with the USPTO same day — all within 24 business hours.

Order via The Patent Place →

Pre-filled with this patent's details

Quick Facts

Patent No.: US 10,855,398
App. No.: 15/741,424
Granted: Dec 1, 2020
Kind: B2

External Links

USPTO Patent Center↗ Full Patent PDF↗

Abstract

A coding and modulation apparatus and method are presented, particularly for use in a system according to IEEE 802.11. The apparatus comprises an encoder configured to encode input data into cell words according to a low density parity check code, LDPC, and a modulator configured to modulate said cell words into constellation values of a non-uniform constellation and to assign bit combinations to constellation values of the used non-uniform constellation, wherein said modulator is configured to use, based on the total number N of constellation points of the constellation and the code rate R, a particular non-uniform constellation, which has been optimized using the peak-to-average power ratio (PAPR).

Claims (7161)

1. A receiving apparatus comprising:

a receiver configured to receive one or more transmission streams,

a deconverter configured to deconvert the one or more transmission streams into said constellation values, and

a communication interface configured to transmit receiver signalling information to a transmission apparatus with which said receiving apparatus seeks to communicate, said receiver signalling information including one or more of a) a total number N of constellation points and a code rate R of a constellation to be used, b) an indication of the constellation to be used, c) constellation points of a constellation to he used, d) channel conditions of a communications channel between the receiving apparatus and a transmission apparatus with which the receiving apparatus seeks to communicate and e) PHY impairments at the receiving apparatus.

2. The receiving apparatus as claimed in claim 1 ,

further comprising processing circuitry configured to analyze channel conditions of a communications channel between the receiving apparatus and a transmission apparatus with which the receiving apparatus seeks to communicate and/or PHY impairments at the receiving apparatus and to determine said signalling information based on the analyzed channel conditions and/or PHY impairments.

3. A receiving method comprising:

receiving one or more transmission streams,

deconverting the one or more transmission streams into said constellation values, and

transmitting receiver signalling information to a transmission apparatus with which the receiving method seeks to communicate, said receiver signalling information including one or more of a) a total number N of constellation points and the code rate R of a constellation to be used, b) an indication of the constellation to be used, c) constellation points of a constellation to be used, and d) channel conditions of a communications channel between a receiving apparatus and a transmission apparatus with which said receiving method seeks to communicate.

4. A coding and modulation apparatus comprising:

an encoder configured to encode input data into cell words according to a low density parity check code, LDPC, and

a modulator configured to modulate said cell words into constellation values of a non-uniform constellation and to assign bit combinations to constellation values of the used non-uniform constellation,

wherein said modulator is configured to use, based on a total number N of constellation points of a constellation and code rate R,

i) a non-uniform constellation and bit labeling from a group A if N=16, or

ii) a non-uniform constellation and bit labeling from a group B if N=32, or

iii) a non-uniform constellation and bit labeling from a group C if N=64, or

iv) a non-uniform constellation obtained from a constellation from anyone of groups A, B or C through rotation by an angle around an origin, through inversion of bit labels for all constellation points, through interchanging of bit positions, through mirroring on any line in a complex plane and/or through predistortion for the constellation points,

wherein the constellation points are defined by a constellation position vector w 0 . . . w N−1 , and wherein the constellation position vectors of the different constellations of the groups A, B or C of constellations are defined as follows:

A) 16-QAM uniform constellations of group A1:

bit label

R = ½ (or ⅝ or ¾)

R = ⅝ (or ½ or ¾)

R = ¾ (or ½ or ⅝)

0000

0.9236 + 0.3833i

0.2885 + 0.2883i

0.2989 + 0.3143i

0001

0.9236 + 0.3833i

1.085 + 0.3172i

1.0877 + 0.2957i

0010

0.3833 + 0.9236i

0.3168 + 1.0851i

0.2979 + 1.0872i

0011

0.3833 + 0.9236i

0.7973 + 0.8014i

0.8007 + 0.7934i

0100

0.9236 − 0.3833i

0.2885 − 0.2883i

0.2989 − 0.3143i

0101

0.9236 − 0.3833i

1.085 − 0.3172i

1.0877 − 0.2957i

0110

0.3833 − 0.9236i

0.3168 − 1.0851i

0.2979 − 1.0872i

0111

0.3833 − 0.9236i

0.7973 − 0.8014i

0.8007 − 0.7934i

1000

−0.9236 + 0.3833i

−0.2885 + 0.2883i

−0.2989 + 0.3143i

1001

−0.9236 + 0.3833i

−1.085 + 0.3172i

−1.0877 + 0.2957i

w10

1010

−0.3833 + 0.9236i

−0.3168 + 1.0851i

−0.2979 + 1.0872i

w11

1011

−0.3833 + 0.9236i

−0.7973 + 0.8014i

−0.8007 + 0.7934i

w12

1100

−0.9236 − 0.3833i

−0.2885 − 0.2883i

−0.2989 − 0.3143i

w13

1101

−0.9236 − 0.3833i

−1.085 − 0.3172i

−1.0877 − 0.2957i

w14

1110

−0.3833 − 0.9236i

−0.3168 − 1.0851i

−0.2979 − 1.0872i

w15

1111

−0.3833 − 0.9236i

−0.7973 − 0.8014i

−0.8007 − 0.7934i

or group A3:

bit label

R = ½ (or ⅝ or ¾)

R = ⅝ (or ½ or ¾)

R = ¾ (or ½ or ⅝)

0000

0.8429 + 0.2537i

0.4349 + 0.1989i

0.9963 + 0.2925i

0001

0.9864 + 0.7471i

1.1973 + 0.4119i

0.9109 + 0.9109i

0010

0.2155 + 0.3413i

0.2573 + 0.7061i

0.3034 + 0.3034i

0011

0.3772 + 1.1785i

0.6759 + 1.0707i

0.2925 + 0.9963i

0100

0.8429 − 0.2537i

0.4349 − 0.1989i

0.9963 − 0.2925i

0101

0.9864 − 0.7471i

1.1973 − 0.4119i

0.9109 − 0.9109i

0110

0.2155 − 0.3413i

0.2573 − 0.7061i

0.3034 − 0.3034i

0111

0.3772 − 1.1785i

0.6759 − 1.0707i

0.2925 − 0.9963i

1000

−0.8429 + 0.2537i

−0.4349 + 0.1989i

−0.9963 + 0.2925i

1001

−0.9864 + 0.7471i

−1.1973 + 0.4119i

−0.9109 + 0.9109i

w10

1010

−0.2155 + 0.3413i

−0.2573 + 0.7061i

−0.3034 + 0.3034i

w11

1011

−0.3772 + 1.1785i

−0.6759 + 1.0707i

−0.2925 + 0.9963i

w12

1100

−0.8429 − 0.2537i

−0.4349 − 0.1989i

−0.9963 − 0.2925i

w13

1101

−0.9864 − 0.7471i

−1.1973 − 0.4119i

−0.9109 − 0.9109i

w14

1110

−0.2155 − 0.3413i

−0.2573 − 0.7061i

−0.3034 − 0.3034i

w15

1111

−0.3772 − 1.1785i

−0.6759 − 1.0707i

−0.2925 − 0.9963i

B) 32-QAM non-uniform constellations of group B1:

R = ½ (or ⅝

R = ⅝ (or ½

R = ¾ (or ½

R = 13/16 (or

bit label

or ¾ or 13/16)

or ⅝ or 13/16)

½ or ⅝ or ¾)

00000

1.0304 + 0.444i

1.0971 + 0.18i

1.1563 + 0.2084i

1.146 + 0.1942i

00001

1.1103 + 0.1616i

0.4907 + 0.2208i

0.6667 + 0.2352i

1.0305 + 0.5389i

00010

0.8946 + 0.6772i

1.02 + 0.4423i

1.039 + 0.5484i

0.6951 + 0.233i

00011

0.4346 + 0.2063i

0.8817 + 0.6772i

0.8367 + 0.8248i

0.8267 + 0.8177i

00100

0.4202 + 1.0404i

0.18 + 1.0971i

0.2126 + 0.6666i

0.2293 + 0.7058i

00101

0.1661 + 1.1091i

0.2211 + 0.4958i

0.2344 + 0.2319i

0.2086 + 1.144i

00110

0.6736 + 0.8966i

0.4431 + 1.0196i

0.1868 + 1.16i

0.2677 + 0.2828i

00111

0.1981 + 0.4223i

0.6778 + 0.8812i

0.5438 + 1.0415i

0.5548 + 1.0221i

01000

1.0304 − 0.444i

1.0971 − 0.18i

1.1563 − 0.2084i

1.146 − 0.1942i

01001

1.1103 − 0.1616i

0.4907 − 0.2208i

0.6667 − 0.2352i

1.0305 − 0.5389i

w10

01010

0.8946 − 0.6772i

1.02 − 0.4423i

1.039 − 0.5484i

0.6951 − 0.233i

w11

01011

0.4346 − 0.2063i

0.8817 − 0.6772i

0.8367 − 0.8248i

0.8267 − 0.8177i

w12

01100

0.4202 − 1.0404i

0.18 − 1.0971i

0.2126 − 0.6666i

0.2293 − 0.7058i

w13

01101

0.1661 − 1.1091i

0.2211 − 0.4958i

0.2344 − 0.2319i

0.2086 − 1.144i

w14

01110

0.6736 − 0.8966i

0.4431 − 1.0196i

0.1868 − 1.16i

0.2677 − 0.2828i

w15

01111

0.1981 − 0.4223i

0.6778 − 0.8812i

0.5438 − 1.0415i

0.5548 − 1.0221i

w16

10000

−1.0304 + 0.444i

−1.0971 + 0.18i

−1.1563 + 0.2084i

−1.146 + 0.1942i

w17

10001

−1.1103 + 0.1616i

−0.4907 + 0.2208i

−0.6667 + 0.2352i

−1.0305 + 0.5389i

w18

10010

−0.8946 + 0.6772i

−1.02 + 0.4423i

−1.039 + 0.5484i

−0.6951 + 0.233i

w19

10011

−0.4346 + 0.2063i

−0.8817 + 0.6772i

−0.8367 + 0.8248i

−0.8267 + 0.8177i

w20

10100

−0.4202 + 1.0404i

−0.18 + 1.0971i

−0.2126 + 0.6666i

−0.2293 + 0.7058i

w21

10101

−0.1661 + 1.1091i

−0.2211 + 0.4958i

−0.2344 + 0.2319i

−0.2086 + 1.144i

w22

10110

−0.6736 + 0.8966i

−0.4431 + 1.0196i

−0.1868 + 1.16i

−0.2677 + 0.2828i

w23

10111

−0.1981 + 0.4223i

−0.6778 + 0.8812i

−0.5438 + 1.04151

−0.5548 + 1.0221i

w24

11000

−1.0304 − 0.444i

−1.0971 − 0.18i

−1.1563 − 0.2084i

−1.146 − 0.1942i

w25

11001

−1.1103 − 0.1616i

−0.4907 − 0.2208i

−0.6667 − 0.2352i

−1.0305 − 0.5389i

w26

11010

−0.8946 − 0.6772i

−1.02 − 0.4423i

−1.039 − 0.5484i

−0.6951 − 0.233i

w27

11011

−0.4346 − 0.2063i

−0.8817 − 0.6772i

−0.8367 − 0.8248i

−0.8267 − 0.8177i

w28

11100

−0.4202 − 1.0404i

−0.18 − 1.0971i

−0.2126 − 0.6666i

−0.2293 − 0.7058i

w29

11101

−0.1661 − 1.1091i

−0.2211 − 0.4958i

−0.2344 − 0.2319i

−0.2086 − 1.144i

w30

11110

−0.6736 − 0.8966i

−0.4431 − 1.0196i

−0.1868 − 1.16i

−0.2677 − 0.2828i

w31

11111

−0.1981 − 0.4223i

−0.6778 − 0.8812i

−0.5438 − 1.0415i

−0.5548 − 1.0221i

or group B3:

R = ½

R = 5/8

R = 3/4

R = 13/16

bit label

(or ⅝ or ¾ or 13/16)

(or ½ or ¾ or 13/16)

(or ½ or ⅝ or 13/16)

(or ½ or ⅝ or ¾)

00000

0.6588 + 0.2335i

0.6258 + 0.171i

0.7734 + 0.1898i

0.2229 + 0.2243i

00001

1.152 + 0.1943i

1.1753 + 0.2181i

1.1905 + 0.2491i

0.7488 + 0.1887i

00010

0.8934 + 0.7527i

0.2219 + 0.2216i

0.6881 + 0.5652i

0.6173 + 1.0647i

00011

1.0419 + 0.5284i

1.0354 + 0.5975i

0.9811 + 0.7188i

1.2067 + 0.242i

00100

0.2537 + 0.3006i

0.1925 + 1.1798i

0.2475 + 0.2277i

0.2183 + 0.7125i

00101

0.1583 + 0.7127i

0.5389 + 1.067i

0.2041 + 1.199i

0.6249 + 0.5473i

00110

0.6045 + 0.9997i

0.2194 + 0.6207i

0.2562 + 0.6908i

0.2129 + 1.2121i

00111

0.25 + 1.1412i

0.7778 + 0.8523i

0.6044 + 1.0554i

1.0247 + 0.6815i

01000

0.6588 − 0.2335i

0.6258 − 0.171i

0.7734 − 0.1898i

0.2229 − 0.2243i

01001

1.152 − 0.1943i

1.1753 − 0.2181i

1.1905 − 0.2491i

0.7488 − 0.1887i

w10

01010

0.8934 − 0.7527i

0.2219 − 0.2216i

0.6881 − 0.5652i

0.6173 − 1.0647i

w11

01011

1.0419 − 0.5284i

1.0354 − 0.5975i

0.9811 − 0.7188i

1.2067 − 0.242i

w12

01100

0.2537 − 0.3006i

0.1925 − 1.1798i

0.2475 − 0.2277i

0.2183 − 0.7125i

w13

01101

0.1583 − 0.7127i

0.5389 − 1.067i

0.2041 − 1.199i

0.6249 − 0.5473i

w14

01110

0.6045 − 0.9997i

0.2194 − 0.6207i

0.2562 − 0.6908i

0.2129 − 1.2121i

w15

01111

0.25 − 1.1412i

0.7778 − 0.8523i

0.6044 − 1.0554i

1.0247 − 0.6815i

w16

10000

−0.6588 + 0.2335i

−0.6258 + 0.171i

−0.7734 + 0.1898i

−0.2229 + 0.2243i

w17

10001

−1.152 + 0.1943i

−1.1753 + 0.2181i

−1.1905 + 0.2491i

−0.7488 + 0.1887i

w18

10010

−0.8934 + 0.7527i

−0.2219 + 0.2216i

−0.6881 + 0.5652i

−0.6173 + 1.0647i

w19

10011

−1.0419 + 0.5284i

−1.0354 + 0.5975i

−0.9811 + 0.7188i

−1.2067 + 0.242i

w20

10100

−0.2537 + 0.3006i

−0.1925 + 1.1798i

−0.2475 + 0.2277i

−0.2183 + 0.7125i

w21

10101

−0.1583 + 0.7127i

−0.5389 + 1.067i

−0.2041 + 1.199i

−0.6249 + 0.5473i

w22

10110

−0.6045 + 0.9997i

−0.2194 + 0.6207i

−0.2562 + 0.6908i

−0.2129 + 1.2121i

w23

10111

−0.25 + 1.1412i

−0.7778 + 0.8523i

−0.6044 + 1.0554i

−1.0247 + 0.6815i

w24

11000

−0.6588 − 0.2335i

−0.6258 − 0.171i

−0.7734 − 0.1898i

−0.2229 − 0.2243i

w25

11001

−1.152 − 0.1943i

−1.1753 − 0.2181i

−1.1905 − 0.2491i

−0.7488 − 0.1887i

w26

11010

−0.8934 − 0.7527i

−0.2219 − 0.2216i

−0.6881 − 0.5652i

−0.6173 − 1.0647i

w27

11011

−1.0419 − 0.5284i

−1.0354 − 0.5975i

−0.9811 − 0.7188i

−1.2067 − 0.242i

w28

11100

−0.2537 − 0.3006i

−0.1925 − 1.1798i

−0.2475 − 0.2277i

−0.2183 − 0.7125i

w29

11101

−0.1583 − 0.7127i

−0.5389 − 1.067i

−0.2041 − 1.199i

−0.6249 − 0.5473i

w30

11110

−0.6045 − 0.9997i

−0.2194 − 0.6207i

−0.2562 − 0.6908i

−0.2129 − 1.2121i

w31

11111

−0.25 − 1.1412i

−0.7778 − 0.8523i

−0.6044 − 1.0554i

−1.0247 − 0.6815i

C) 64-QAM non-uniform constellations of group C1:

R = ½ (or ⅝

R = ⅝ (or ½

R = ¾ (or ½

R = 13/16 (or

bit label

or ¾ or 13/16)

or ⅝ or 13/16)

½ or ⅝ or ¾)

000000

0.2287 + 0.5143i

0.1978 + 0.198i

1.0605 + 0.5953i

0.873 + 0.8874i

000001

0.2116 + 1.0918i

0.1916 + 1.1985i

0.1796 + 0.4943i

1.0395 + 0.6848i

000010

0.2828 + 0.5535i

0.4969 + 0.1984i

0.7562 + 0.4956i

0.6726 + 1.0474i

000011

0.214 + 1.0888i

0.4757 + 1.1166i

0.4954 + 0.5126i

0.6771 + 0.6619i

000100

0.6913 + 0.8711i

0.1862 + 0.5083i

1.1574 + 0.3735i

1.2358 + 0.1495i

000101

0.461 + 1.012i

0.171 + 0.8428i

0.1887 + 0.1816i

1.1669 + 0.4334i

000110

0.6929 + 0.8697i

0.479 + 0.5257i

0.8128 + 0.199i

0.8923 + 0.1387i

000111

0.4624 + 0.114i

0.4272 + 0.8201i

0.5012 + 0.183i

0.8067 + 0.404i

001000

0.3191 + 0.2057i

1.1727 + 0.3125i

0.9378 + 0.7743i

0.1465 + 1.2361i

001001

1.0956 + 0.1876i

1.2022 + 0.1671i

0.1694 + 0.8236i

0.1412 + 0.8899i

w10

001010

0.5092 + 0.2494i

0.7798 + 0.2035i

0.7911 + 0.9225i

0.4261 + 1.1695i

w11

001011

1.093 + 0.2006i

0.6806 + 1.0049i

0.4477 + 0.779i

0.413 + 0.7955i

w12

001100

0.8876 + 0.67i

1.0766 + 0.5604i

1.2059 + 0.157i

0.1641 + 0.164i

w13

001101

1.0256 + 0.4299i

0.9914 + 0.7003i

0.1661 + 1.2048i

0.1442 + 0.5197i

w14

001110

0.8899 + 0.6666i

0.7425 + 0.5068i

0.6275 + 1.0418i

0.5218 + 0.1427i

w15

001111

1.0227 + 0.4368i

0.8329 + 0.8826i

0.4264 + 1.1388i

0.4324 + 0.4339i

w16

010000

0.2287 − 0.5143i

0.1978 − 0.198i

1.0605 − 0.5953i

0.873 − 0.8874i

w17

010001

0.2116 − 1.0918i

0.1916 − 1.1985i

0.1796 − 0.4943i

1.0395 − 0.6848i

w18

010010

0.2828 − 0.5535i

0.4969 − 0.1984i

0.7562 − 0.4956i

0.6726 − 1.0474i

w19

010011

0.214 − 1.0888i

0.4757 − 1.1166i

0.4954 − 0.5126i

0.6771 − 0.6619i

w20

010100

0.6913 − 0.8711i

0.1862 − 0.5083i

1.1574 − 0.3735i

1.2358 − 0.1495i

w21

010101

0.461 − 1.012i

0.171 − 0.8428i

0.1887 − 0.1816i

1.1669 − 0.4334i

w22

010110

0.6929 − 0.8697i

0.479 − 0.5257i

0.8128 − 0.199i

0.8923 − 0.1387i

w23

010111

0.4624 − 1.0114i

0.4272 − 0.8201i

0.5012 − 0.183i

0.8067 − 0.404i

w24

011000

0.3191 − 0.2057i

1.1727 − 0.3125i

0.9378 − 0.7743i

0.1465 − 1.2361i

w25

011001

1.0956 − 0.1876i

1.2022 − 0.1671i

0.1694 − 0.8236i

0.1412 − 0.8899i

w26

011010

0.5092 − 0.2494i

0.7798 − 0.2035i

0.7911 − 0.9225i

0.4261 − 1.1695i

w27

011011

1.093 − 0.2006i

0.6806 − 1.0049i

0.4477 − 0.779i

0.413 − 0.7955i

w28

011100

0.8876 − 0.67i

1.0766 − 0.5604i

1.2059 − 0.157i

0.1641 − 0.164i

w29

011101

1.0256 − 0.4299i

0.9914 − 0.7003i

0.1661 − 1.2048i

0.1442 − 0.5197i

w30

011110

0.8899 − 0.6666i

0.7425 − 0.5068i

0.6275 − 1.0418i

0.5218 − 0.1427i

w31

011111

1.0227 − 0.4368i

0.8329 − 0.8826i

0.4264 − 1.1388i

0.4324 − 0.4339i

w32

100000

−0.2287 + 0.5143i

−0.1978 + 0.198i

−1.0605 + 0.5953i

−0.873 + 0.8874i

w33

100001

−0.2116 + 1.0918i

−0.1916 + 1.1985i

−0.1796 + 0.4943i

−1.0395 + 0.6848i

w34

100010

−0.2828 + 0.5535i

−0.4969 + 0.1984i

−0.7562 + 0.4956i

−0.6726 + 1.0474i

w35

100011

−0.214 + 1.0888i

−0.4757 + 1.1166i

−0.4954 + 0.5126i

−0.6771 + 0.6619i

w36

100100

−0.6913 + 0.8711i

−0.1862 + 0.5083i

−1.1574 + 0.3735i

−1.2358 + 0.1495i

w37

100101

−0.461 + 1.012i

−0.171 + 0.8428i

−0.1887 + 0.1816i

−1.1669 + 0.4334i

w38

100110

−0.6929 + 0.8697i

−0.479 + 0.5257i

−0.8128 + 0.199i

−0.8923 + 0.1387i

w39

100111

−0.4624 + 1.0114i

−0.4272 + 0.8201i

−0.5012 + 0.183i

−0.8067 + 0.404i

w40

101000

−0.3191 + 0.2057i

−1.1727 + 0.3125i

−0.9378 + 0.7743i

−0.1465 + 1.2361i

w41

101001

−1.0956 + 0.1876i

−1.2022 + 0.1671i

−0.1694 + 0.8236i

−0.1412 + 0.8899i

w42

101010

−0.5092 + 0.2494i

−0.7798 + 0.2035i

−0.7911 + 0.9225i

−0.4261 + 1.1695i

w43

101011

−1.093 + 0.2006i

−0.6806 + 1.0049i

−0.4477 + 0.779i

−0.413 + 0.7955i

w44

101100

−0.8876 + 0.67i

−1.0766 + 0.5604i

−1.2059 + 0.157i

−0.1641 + 0.164i

w45

101101

−1.0256 + 0.4299i

−0.9914 + 0.7003i

−0.1661 + 1.2048i

−0.1442 + 0.5197i

w46

101110

−0.8899 + 0.6666i

−0.7425 + 0.5068i

−0.6275 + 1.0418i

−0.5218 + 0.1427i

w47

101111

−1.0227 + 0.4368i

−0.8329 + 0.8826i

−0.4264 + 1.1388i

−0.4324 + 0.4339i

w48

110000

−0.2287 − 0.5143i

−0.1978 − 0.198i

−1.0605 − 0.5953i

−0.873 − 0.8874i

w49

110001

−0.2116 − 1.0918i

−0.1916 − 1.1985i

−0.1796 − 0.4943i

−1.0395 − 0.6848i

w50

110010

−0.2828 − 0.5535i

−0.4969 − 0.1984i

−0.7562 − 0.4956i

−0.6726 − 1.0474i

w51

110011

−0.214 − 1.0888i

−0.4757 − 1.1166i

−0.4954 − 0.5126i

−0.6771 − 0.6619i

w52

110100

−0.6913 − 0.8711i

−0.1862 − 0.5083i

−1.1574 − 0.3735i

−1.2358 − 0.1495i

w53

110101

−0.461 − 1.012i

−0.171 − 0.8428i

−0.1887 − 0.1816i

−1.1669 − 0.4334i

w54

110110

−0.6929 − 0.8697i

−0.479 − 0.5257i

−0.8128 − 0.199i

−0.8923 − 0.1387i

w55

110111

−0.4624 − 1.0114i

−0.4272 − 0.8201i

−0.5012 − 0.183i

−0.8067 − 0.404i

w56

111000

−0.3191 − 0.2057i

−1.1727 − 0.3125i

−0.9378 − 0.7743i

−0.1465 − 1.2361i

w57

111001

−1.0956 − 0.1876i

−1.2022 − 0.1671i

−0.1694 − 0.8236i

−0.1412 − 0.8899i

w58

111010

−0.5092 − 0.2494i

−0.7798 − 0.2035i

−0.7911 − 0.9225i

−0.4261 − 1.1695i

w59

111011

−1.093 − 0.2006i

−0.6806 − 1.0049i

−0.4477 − 0.779i

−0.413 − 0.7955i

w60

111100

−0.8876 − 0.67i

−1.0766 − 0.5604i

−1.2059 − 0.157i

−0.1641 − 0.164i

w61

111101

−1.0256 − 0.4299i

−0.9914 − 0.7003i

−0.1661 − 1.2048i

−0.1442 − 0.5197i

w62

111110

−0.8899 − 0.6666i

−0.7425 − 0.5068i

−0.6275 − 1.0418i

−0.5218 − 0.1427i

w63

111111

−1.0227 − 0.4368i

−0.8329 − 0.8826i

−0.4264 − 1.1388i

−0.4324 − 0.4339i

or group C2:

R = ½ (or ⅝ or

R = ⅝ (or ½

R = ¾ (or ½

R = 13/16 (or

bit label

¾ or 13/16)

or ¾ or 13/16)

or ⅝ or 13/16)

½ or ⅝ or ¾)

000000

0.1298 + 0.2084i

0.3328 + 0.1665i

0.9596 + 0.4358i

1.022 + 0.4536i

000001

0.1883 + 1.3627i

0.5435 + 1.2609i

0.1328 + 0.5092i

0.1374 + 0.4738i

000010

0.217 + 0.4464i

0.1217 + 0.1744i

0.6561 + 0.4543i

0.6985 + 0.4499i

000011

0.1269 + 0.764i

0.1904 + 1.3623i

0.3855 + 0.4909i

0.413 + 0.4891i

000100

0.7986 + 1.12i

0.3528 + 0.4894i

0.9773 + 0.1483i

1.0021 + 0.1484i

000101

0.4538 + 1.1748i

0.4073 + 0.8478i

0.1256 + 0.1724i

0.1339 + 0.1575i

000110

0.4822 + 0.6563i

0.1288 + 0.5124i

0.6457 + 0.1512i

0.6852 + 0.1497i

000111

0.3148 + 0.8326i

0.1465 + 0.8935i

0.3703 + 0.1633i

0.4014 + 0.1605i

001000

0.2328 + 0.1185i

0.5998 + 0.1505i

1.2035 + 0.6663i

1.147 + 0.7594i

001001

1.3637 + 0.1808i

0.8781 + 1.0589i

0.1492 + 0.8611i

0.1479 + 0.8049i

w10

001010

0.4762 + 0.2045i

0.9411 + 0.1492i

0.7306 + 0.7613i

0.7571 + 0.7595i

w11

001011

0.827 + 0.1328i

1.3582 + 0.218i

0.4377 + 0.8492i

0.4503 + 0.8438i

w12

001100

1.0652 + 0.8657i

0.6339 + 0.4545i

1.3574 + 0.2231i

1.3596 + 0.2095i

w13

001101

1.262 + 0.5438i

0.7138 + 0.7632i

0.1858 + 1.2632i

0.1659 + 1.1736i

w14

001110

0.6765 + 0.4967i

0.9294 + 0.4189i

0.9009 + 1.0396i

0.841 + 1.0885i

w15

001111

0.8548 + 0.3591i

1.1995 + 0.6617i

0.5564 + 1.2461i

0.5064 + 1.2593i

w16

010000

0.1298 − 0.2084i

0.3328 − 0.1665i

0.9596 − 0.4358i

1.022 − 0.4536i

w17

010001

0.1883 − 1.3627i

0.5435 − 1.2609i

0.1328 − 0.5092i

0.1374 − 0.4738i

w18

010010

0.217 − 0.4464i

0.1217 − 0.1744i

0.6561 − 0.4543i

0.6985 − 0.4499i

w19

010011

0.1269 − 0.764i

0.1904 − 1.3623i

0.3855 − 0.4909i

0.413 − 0.4891i

w20

010100

0.7986 − 1.12i

0.3528 − 0.4894i

0.9773 − 0.1483i

1.0021 − 0.1484i

w21

010101

0.4538 − 1.1748i

0.4073 − 0.8478i

0.1256 − 0.1724i

0.1339 − 0.1575i

w22

010110

0.4822 − 0.6563i

0.1288 − 0.5124i

0.6457 − 0.1512i

0.6852 − 0.1497i

w23

010111

0.3148 − 0.8326i

0.1465 − 0.8935i

0.3703 − 0.1633i

0.4014 − 0.1605i

w24

011000

0.2328 − 0.1185i

0.5998 − 0.1505i

1.2035 − 0.6663i

1.147 − 0.7594i

w25

011001

1.3637 − 0.1808i

0.8781 − 1.0589i

0.1492 − 0.8611i

0.1479 − 0.8049i

w26

011010

0.4762 − 0.2045i

0.9411 − 0.1492i

0.7306 − 0.7613i

0.7571 − 0.7595i

w27

011011

0.827 − 0.1328i

1.3582 − 0.218i

0.4377 − 0.8492i

0.4503 − 0.8438i

w28

011100

1.0652 − 0.8657i

0.6339 − 0.4545i

1.3574 − 0.2231i

1.3596 − 0.2095i

w29

011101

1.262 − 0.5438i

0.7138 − 0.7632i

0.1858 − 1.2632i

0.1659 − 1.1736i

w30

011110

0.6765 − 0.4967i

0.9294 − 0.4189i

0.9009 − 1.0396i

0.841 − 1.0885i

w31

011111

0.8548 − 0.3591i

1.1995 − 0.6617i

0.5564 − 1.2461i

0.5064 − 1.2593i

w32

100000

−0.1298 + 0.2084i

−0.3328 + 0.1665i

−0.9596 + 0.4358i

−1.022 + 0.4536i

w33

100001

−0.1883 + 1.3627i

−0.5435 + 1.2609i

−0.1328 + 0.5092i

−0.1374 + 0.4738i

w34

100010

−0.217 + 0.4464i

−0.1217 + 0.1744i

−0.6561 + 0.4543i

−0.6985 + 0.4499i

w35

100011

−0.1269 + 0.764i

−0.1904 + 1.3623i

−0.3855 + 0.4909i

−0.413 + 0.4891i

w36

100100

−0.7986 + 1.12i

−0.3528 + 0.4894i

−0.9773 + 0.1483i

−1.0021 + 0.1484i

w37

100101

−0.4538 + 1.1748i

−0.4073 + 0.8478i

−0.1256 + 0.1724i

−0.1339 + 0.1575i

w38

100110

−0.4822 + 0.6563i

−0.1288 + 0.5124i

−0.6457 + 0.1512i

−0.6852 + 0.1497i

w39

100111

−0.3148 + 0.8326i

−0.1465 + 0.8935i

−0.3703 + 0.1633i

−0.4014 + 0.1605i

w40

101000

−0.2328 + 0.1185i

−0.5998 + 0.1505i

−1.2035 + 0.6663i

−1.147 + 0.7594i

w41

101001

−1.3637 + 0.1808i

−0.8781 + 1.0589i

−0.1492 + 0.8611i

−0.1479 + 0.8049i

w42

101010

−0.4762 + 0.2045i

−0.9411 + 0.1492i

−0.7306 + 0.7613i

−0.7571 + 0.7595i

w43

101011

−0.827 + 0.1328i

−1.3582 + 0.218i

−0.4377 + 0.8492i

−0.4503 + 0.8438i

w44

101100

−1.0652 + 0.8657i

−0.6339 + 0.4545i

−1.3574 + 0.2231i

−1.3596 + 0.2095i

w45

101101

−1.262 + 0.5438i

−0.7138 + 0.7632i

−0.1858 + 1.2632i

−0.1659 + 1.1736i

w46

101110

−0.6765 + 0.4967i

−0.9294 + 0.4189i

−0.9009 + 1.0396i

−0.841 + 1.0885i

w47

101111

−0.8548 + 0.3591i

−1.1995 + 0.6617i

−0.5564 + 1.2461i

−0.5064 + 1.2593i

w48

110000

−0.1298 − 0.2084i

−0.3328 − 0.1665i

−0.9596 − 0.4358i

−1.022 − 0.4536i

w49

110001

−0.1883 − 1.3627i

−0.5435 − 1.2609i

−0.1328 − 0.5092i

−0.1374 − 0.4738i

w50

110010

−0.217 − 0.4464i

−0.1217 − 0.1744i

−0.6561 − 0.4543i

−0.6985 − 0.4499i

w51

110011

−0.1269 − 0.764i

−0.1904 − 1.3623i

−0.3855 − 0.4909i

−0.413 − 0.4891i

w52

110100

−0.7986 − 1.12i

−0.3528 − 0.4894i

−0.9773 − 0.1483i

−1.0021 − 0.1484i

w53

110101

−0.4538 − 1.1748i

−0.4073 − 0.8478i

−0.1256 − 0.1724i

−0.1339 − 0.1575i

w54

110110

−0.4822 − 0.6563i

−0.1288 − 0.5124i

−0.6457 − 0.1512i

−0.6852 − 0.1497i

w55

110111

−0.3148 − 0.8326i

−0.1465 − 0.8935i

−0.3703 − 0.1633i

−0.4014 − 0.1605i

w56

111000

−0.2328 − 0.1185i

−0.5998 − 0.1505i

−1.2035 − 0.6663i

−1.147 − 0.7594i

w57

111001

−1.3637 − 0.1808i

−0.8781 − 1.0589i

−0.1492 − 0.8611i

−0.1479 − 0.8049i

w58

111010

−0.4762 − 0.2045i

−0.9411 − 0.1492i

−0.7306 − 0.7613i

−0.7571 − 0.7595i

w59

111011

−0.827 − 0.1328i

−1.3582 − 0.218i

−0.4377 − 0.8492i

−0.4503 − 0.8438i

w60

111100

−1.0652 − 0.8657i

−0.6339 − 0.4545i

−1.3574 − 0.2231i

−1.3596 − 0.2095i

w61

111101

−1.262 − 0.5438i

−0.7138 − 0.7632i

−0.1858 − 1.2632i

−0.1659 − 1.1736i

w62

111110

−0.6765 − 0.4967i

−0.9294 − 0.4189i

−0.9009 − 1.0396i

−0.841 − 1.0885i

w63

111111

−0.8548 − 0.3591i

−1.1995 − 0.6617i

−0.5564 − 1.2461i

−0.5064 − 1.2593i

or group C3:

R = ½ (or ⅝ or

R = ⅝ (or ½ or

R = ¾ (or ½ or

R = 13/16 (or ½

bit label

¾ or 13/16)

⅝ or 13/16)

or ⅝ or ¾)

000000

1.0569 + 0.7089i

0.8757 + 0.9247i

0.937 + 0.8841i

1.1723 + 0.5141i

000001

1.0841 + 0.6678i

1.045 + 0.728i

1.1063 + 0.6601i

0.1476 + 0.5364i

000010

0.819 + 0.9734i

0.7024 + 1.0623i

0.7126 + 1.0729i

0.7669 + 0.4573i

000011

0.7389 + 0.713i

0.6854 + 0.6748i

0.649 + 0.7077i

0.4449 + 0.4829i

000100

1.2554 + 0.2142i

1.2615 + 0.1746i

1.2781 + 0.1604i

1.004 + 0.174i

000101

1.2348 + 0.3103i

1.1831 + 0.4706i

1.0791 + 0.3764i

0.1371 + 0.1864i

000110

0.7562 + 0.1721i

0.8301 + 0.1381i

0.7714 + 0.1301i

0.7139 + 0.1521i

000111

0.7451 + 0.3181i

0.7748 + 0.3978i

0.7335 + 0.4268i

0.4208 + 0.1616i

001000

0.2187 + 1.2529i

0.1636 + 1.263i

0.1553 + 1.2788i

1.0216 + 0.771i

001001

0.1608 + 0.8472i

0.1378 + 0.8233i

0.1327 + 0.8728i

0.1431 + 0.9083i

w10

001010

0.5502 + 1.1466i

0.446 + 1.1929i

0.4463 + 1.2084i

0.7237 + 0.7521i

w11

001011

0.4217 + 0.7827i

0.3922 + 0.7613i

0.3935 + 0.8156i

0.4251 + 0.8248i

w12

001100

0.1479 + 0.17i

0.1453 + 0.1451i

0.1358 + 0.1626i

1.2711 + 0.1575i

w13

001101

0.1574 + 0.4709i

0.1295 + 0.4429i

0.1371 + 0.5004i

0.162 + 1.2706i

w14

001110

0.3867 + 0.1695i

0.4504 + 0.1426i

0.427 + 0.1484i

0.7403 + 1.045i

w15

001111

0.3923 + 0.4332i

0.4124 + 0.4207i

0.406 + 0.4481i

0.4693 + 1.1917i

w16

010000

1.0569 − 0.7089i

0.8757 − 0.9247i

0.937 − 0.8841i

1.1723 − 0.5141i

w17

010001

1.0841 − 0.6678i

1.045 − 0.728i

1.1063 − 0.6601i

0.1476 − 0.5364i

w18

010010

0.819 − 0.9734i

0.7024 − 1.0623i

0.7126 − 1.0729i

0.7669 − 0.4573i

w19

010011

0.7389 − 0.713i

0.6854 − 0.6748i

0.649 − 0.7077i

0.4449 − 0.4829i

w20

010100

1.2554 − 0.2142i

1.2615 − 0.1746i

1.2781 − 0.1604i

1.004 − 0.174i

w21

010101

1.2348 − 0.3103i

1.1831 − 0.4706i

1.0791 − 0.3764i

0.1371 − 0.1864i

w22

010110

0.7562 − 0.1721i

0.8301 − 0.1381i

0.7714 − 0.1301i

0.7139 − 0.1521i

w23

010111

0.7451 − 0.3181i

0.7748 − 0.3978i

0.7335 − 0.4268i

0.4208 − 0.1616i

w24

011000

0.2187 − 1.2529i

0.1636 − 1.263i

0.1553 − 1.2788i

1.0216 − 0.771i

w25

011001

0.1608 − 0.8472i

0.1378 − 0.8233i

0.1327 − 0.8728i

0.1431 − 0.9083i

w26

011010

0.5502 − 1.1466i

0.446 − 1.1929i

0.4463 − 1.2084i

0.7237 − 0.7521i

w27

011011

0.4217 − 0.7827i

0.3922 − 0.7613i

0.3935 − 0.8156i

0.4251 − 0.8248i

w28

011100

0.1479 − 0.17i

0.1453 − 0.1451i

0.1358 − 0.1626i

1.2711 − 0.1575i

w29

011101

0.1574 − 0.4709i

0.1295 − 0.4429i

0.1371 − 0.5004i

0.162 − 1.2706i

w30

011110

0.3867 − 0.1695i

0.4504 − 0.1426i

0.427 − 0.1484i

0.7403 − 1.045i

w31

011111

0.3923 − 0.4332i

0.4124 − 0.4207i

0.406 − 0.4481i

0.4693 − 1.1917i

w32

100000

−1.0569 + 0.7089i

−0.8757 + 0.9247i

−0.937 + 0.8841i

−1.1723 + 0.5141i

w33

100001

−1.0841 + 0.6678i

−1.045 + 0.728i

−1.1063 + 0.6601i

−0.1476 + 0.5364i

w34

100010

−0.819 + 0.9734i

−0.7024 + 1.0623i

−0.7126 + 1.0729i

−0.7669 + 0.4573i

w35

100011

−0.7389 + 0.713i

−0.6854 + 0.6748i

−0.649 + 0.7077i

−0.4449 + 0.4829i

w36

100100

−1.2554 + 0.2142i

−1.2615 + 0.1746i

−1.2781 + 0.1604i

−1.004 + 0.174i

w37

100101

−1.2348 + 0.3103i

−1.1831 + 0.4706i

−1.0791 + 0.3764i

−0.1371 + 0.1864i

w38

100110

−0.7562 + 0.1721i

−0.8301 + 0.1381i

−0.7714 + 0.1301i

−0.7139 + 0.1521i

w39

100111

−0.7451 + 0.3181i

−0.7748 + 0.3978i

−0.7335 + 0.4268i

−0.4208 + 0.1616i

w40

101000

−0.2187 + 1.2529i

−0.1636 + 1.263i

−0.1553 + 1.2788i

−1.0216 + 0.771i

w41

101001

−0.1608 + 0.8472i

−0.1378 + 0.8233i

−0.1327 + 0.8728i

−0.1431 + 0.9083i

w42

101010

−0.5502 + 1.1466i

−0.446 + 1.1929i

−0.4463 + 1.2084i

−0.7237 + 0.7521i

w43

101011

−0.4217 + 0.7827i

−0.3922 + 0.7613i

−0.3935 + 0.8156i

−0.4251 + 0.8248i

w44

101100

−0.1479 + 0.17i

−0.1453 + 0.1451i

−0.1358 + 0.1626i

−1.2711 + 0.1575i

w45

101101

−0.1574 + 0.4709i

−0.1295 + 0.4429i

−0.1371 + 0.5004i

−0.162 + 0.2706i

w46

101110

−0.3867 + 0.1695i

−0.4504 + 0.1426i

−0.427 + 0.1484i

−0.7403 + 1.045i

w47

101111

−0.3923 + 0.4332i

−0.4124 + 0.4207i

−0.406 + 0.4481i

−0.4693 + 1.1917i

w48

110000

−1.0569 − 0.7089i

−0.8757 − 0.9247i

−0.937 − 0.8841i

−1.1723 − 0.5141i

w49

110001

−1.0841 − 0.6678i

−1.045 − 0.728i

−1.1063 − 0.6601i

−0.1476 − 0.5364i

w50

110010

−0.819 − 0.9734i

−0.7024 − 1.0623i

−0.7126 − 1.0729i

−0.7669 − 0.4573i

w51

110011

−0.7389 − 0.713i

−0.6854 − 0.6748i

−0.649 − 0.7077i

−0.4449 − 0.4829i

w52

110100

−1.2554 − 0.2142i

−1.2615 − 0.1746i

−1.2781 − 0.1604i

−1.004 − 0.174i

w53

110101

−1.2348 − 0.3103i

−1.1831 − 0.4706i

−1.0791 − 0.3764i

−0.1371 − 0.1864i

w54

110110

−0.7562 − 0.1721i

−0.8301 − 0.1381i

−0.7714 − 0.1301i

−0.7139 − 0.1521i

w55

110111

−0.7451 − 0.3181i

−0.7748 − 0.3978i

−0.7335 − 0.4268i

−0.4208 − 0.1616i

w56

111000

−0.2187 − 1.2529i

−0.1636 − 1.263i

−0.1553 − 1.2788i

−1.0216 − 0.771i

w57

111001

−0.1608 − 0.8472i

−0.1378 − 0.8233i

−0.1327 − 0.8728i

−0.1431 − 0.9083i

w58

111010

−0.5502 − 1.1466i

−0.446 − 1.1929i

−0.4463 − 1.2084i

−0.7237 − 0.7521i

w59

111011

−0.4217 − 0.7827i

−0.3922 − 0.7613i

−0.3935 − 0.8156i

−0.4251 − 0.8248i

w60

111100

−0.1479 − 0.17i

−0.1453 − 0.1451i

−0.1358 − 0.1626i

−1.2711 − 0.1575i

w61

111101

−0.1574 − 0.4709i

−0.1295 − 0.4429i

−0.1371 − 0.5004i

−0.162 − 1.2706i

w62

111110

−0.3867 − 0.1695i

−0.4504 − 0.1426i

−0.427 − 0.1484i

−0.7403 − 1.045i

w63

111111

−0.3923 − 0.4332i

−0.4124 − 0.4207i

−0.406 − 0.4481i

−0.4693 − 1.1917i

wherein the bit labeling indicated in groups A, B and C may alternatively be inverted for one or more bit labels.

5. The coding and modulation apparatus as claimed in claim 4 ,

further comprising processing circuitry configured to select the total number N of constellation points of the constellation and the code rate R based on channel conditions of a communications channel between a transmission apparatus including said coding and modulation apparatus and a receiving apparatus with which said transmission apparatus seeks to communicate.

6. The coding and modulation apparatus as claimed in claim 5 ,

wherein said processing circuitry is configured to select a constellation based on the desired signal-to-noise ratio.

7. The coding and modulation apparatus as claimed in claim 4 ,

further comprising a receiver configured to receive receiver signalling information including one or more of a) the total number N of constellation points and the code rate R of a constellation to be used, b) an indication of the constellation to be used, c) constellation points of a constellation to be used, d) channel conditions of a communications channel between a transmission apparatus including said coding and modulation apparatus and a receiving apparatus with which said transmission apparatus seeks to communicate, and e) PHY impairments at the receiving apparatus.

8. The coding and modulation apparatus as claimed in claim 4 ,

wherein said coding and modulation apparatus is configured for use in a transmission apparatus according to IEEE 802.11.

9. A coding and modulation method comprising:

encoding input data into cell words according to a low density parity check code, LDPC, and

modulating said cell words into constellation values of a non--uniform constellation and to assign bit combinations to constellation values of the used non-uniform constellation,

wherein said modulating is configured to use, based on total number N of constellation points of a constellation and code rate R,

i) a non-uniform constellation and bit labeling from a group A if N=16, or

ii) a non-uniform constellation and bit labeling from a group B if N=32, or

iii) a non- - uniform constellation and bit labeling from a group C if N=64, or

A) 16-QAM non-uniform constellations of group A1:

bit label

R = ½ (or ⅝ or ¾)

R = ⅝ (or ½ or ¾)

R = ¾ (or ½ or ⅝)

0000

0.9236 + 0.3833i

0.2885 + 0.2883i

0.2989 + 0.3143i

0001

0.9236 + 0.3833i

1.085 + 0.3172i

1.0877 + 0.2957i

0010

0.3833 + 0.9236i

0.3168 + 1.0851i

0.2979 + 1.0872i

0011

0.3833 + 0.9236i

0.7973 + 0.8014i

0.8007 + 0.7934i

0100

0.9236 − 0.3833i

0.2885 − 0.2883i

0.2989 − 0.3143i

0101

0.9236 − 0.3833i

1.085 − 0.3172i

1.0877 − 0.2957i

0110

0.3833 − 0.9236i

0.3168 − 1.0851i

0.2979 − 1.0872i

0111

0.3833 − 0.9236i

0.7973 − 0.8014i

0.8007 − 0.7934i

1000

−0.9236 + 0.3833i

−0.2885 + 0.2883i

−0.2989 + 0.3143i

1001

−0.9236 + 0.3833i

−1.085 + 0.3172i

−1.0877 + 0.2957i

w10

1010

−0.3833 + 0.9236i

−0.3168 + 1.0851i

−0.2979 + 1.0872i

w11

1011

−0.3833 + 0.9236i

−0.7973 + 0.8014i

−0.8007 + 0.7934i

w12

1100

−0.9236 − 0.3833i

−0.2885 − 0.2883i

−0.2989 − 0.3143i

w13

1101

−0.9236 − 0.3833i

−1.085 − 0.3172i

−1.0877 − 0.2957i

w14

1110

−0.3833 − 0.9236i

−0.3168 − 1.0851i

−0.2979 − 1.0872i

w15

1111

−0.3833 − 0.9236i

−0.7973 − 0.8014i

−0.8007 − 0.7934i

or group A3:

bit label

R = ½ (or ⅝ or ¾)

R = ⅝ (or ½ or ¾)

R = ¾ (or ½ or ⅝)

0000

0.8429 + 0.2537i

0.4349 + 0.1989i

0.9963 + 0.2925i

0001

0.9864 + 0.7471i

1.1973 + 0.4119i

0.9109 + 0.9109i

0010

0.2155 + 0.3413i

0.2573 + 0.7061i

0.3034 + 0.3034i

0011

0.3772 + 1.1785i

0.6759 + 1.0707i

0.2925 + 0.9963i

0100

0.8429 − 0.2537i

0.4349 − 0.1989i

0.9963 − 0.2925i

0101

0.9864 − 0.7471i

1.1973 − 0.4119i

0.9109 − 0.9109i

0110

0.2155 − 0.3413i

0.2573 − 0.7061i

0.3034 − 0.3034i

0111

0.3772 − 1.1785i

0.6759 − 1.0707i

0.2925 − 0.9963i

1000

−0.8429 + 0.2537i

−0.4349 + 0.1989i

−0.9963 + 0.2925i

1001

−0.9864 + 0.7471i

−1.1973 + 0.4119i

−0.9109 + 0.9109i

w10

1010

−0.2155 + 0.3413i

−0.2573 + 0.7061i

−0.3034 + 0.3034i

w11

1011

−0.3772 + 1.1785i

−0.6759 + 1.0707i

−0.2925 + 0.9963i

w12

1100

−0.8429 − 0.2537i

−0.4349 − 0.1989i

−0.9963 − 0.2925i

w13

1101

−0.9864 − 0.7471i

−1.1973 − 0.4119i

−0.9109 − 0.9109i

w14

1110

−0.2155 − 0.3413i

−0.2573 − 0.7061i

−0.3034 − 0.3034i

w15

1111

−0.3772 − 1.1785i

−0.6759 − 1.0707i

−0.2925 − 0.9963i

B) 32-QAM non-uniform constellations of group B1:

R = ½ (or ⅝

R = ⅝ (or ½

R = ¾ (or ½

R = 13/16 (or

bit label

or ¾ or 13/16)

or ⅝ or 13/16)

½ or ⅝ or ¾)

00000

1.0304 + 0.444i

1.0971 + 0.18i

1.1563 + 0.2084i

1.146 + 0.1942i

00001

1.1103 + 0.1616i

0.4907 + 0.2208i

0.6667 + 0.2352i

1.0305 + 0.5389i

00010

0.8946 + 0.6772i

1.02 + 0.4423i

1.039 + 0.5484i

0.6951 + 0.233i

00011

0.4346 + 0.2063i

0.8817 + 0.6772i

0.8367 + 0.8248i

0.8267 + 0.8177i

00100

0.4202 + 1.0404i

0.18 + 1.0971i

0.2126 + 0.6666i

0.2293 + 0.7058i

00101

0.1661 + 1.1091i

0.2211 + 0.4958i

0.2344 + 0.2319i

0.2086 + 1.144i

00110

0.6736 + 0.8966i

0.4431 + 1.0196i

0.1868 + 1.16i

0.2677 + 0.2828i

00111

0.1981 + 0.4223i

0.6778 + 0.8812i

0.5438 + 1.0415i

0.5548 + 1.0221i

01000

1.0304 − 0.444i

1.0971 − 0.18i

1.1563 − 0.2084i

1.146 − 0.1942i

01001

1.1103 − 0.1616i

0.4907 − 0.2208i

0.6667 − 0.2352i

1.0305 − 0.5389i

w10

01010

0.8946 − 0.6772i

1.02 − 0.4423i

1.039 − 0.5484i

0.6951 − 0.233i

w11

01011

0.4346 − 0.2063i

0.8817 − 0.6772i

0.8367 − 0.8248i

0.8267 − 0.8177i

w12

01100

0.4202 − 1.0404i

0.18 − 1.0971i

0.2126 − 0.6666i

0.2293 − 0.7058i

w13

01101

0.1661 − 1.1091i

0.2211 − 0.4958i

0.2344 − 0.2319i

0.2086 − 1.144i

w14

01110

0.6736 − 0.8966i

0.4431 − 1.0196i

0.1868 − 1.16i

0.2677 − 0.2828i

w15

01111

0.1981 − 0.4223i

0.6778 − 0.8812i

0.5438 − 1.0415i

0.5548 − 1.0221i

w16

10000

−1.0304 + 0.444i

−1.0971 + 0.18i

−1.1563 + 0.2084i

−1.146 + 0.1942i

w17

10001

−1.1103 + 0.1616i

−0.4907 + 0.2208i

−0.6667 + 0.2352i

−1.0305 + 0.5389i

w18

10010

−0.8946 + 0.6772i

−1.02 + 0.4423i

−1.039 + 0.5484i

−0.6951 + 0.233i

w19

10011

−0.4346 + 0.2063i

−0.8817 + 0.6772i

−0.8367 + 0.8248i

−0.8267 + 0.8177i

w20

10100

−0.4202 + 1.0404i

−0.18 + 1.0971i

−0.2126 + 0.6666i

−0.2293 + 0.7058i

w21

10101

−0.1661 + 1.1091i

−0.2211 + 0.4958i

−0.2344 + 0.2319i

−0.2086 + 1.144i

w22

10110

−0.6736 + 0.8966i

−0.4431 + 1.0196i

−0.1868 + 1.16i

−0.2677 + 0.2828i

w23

10111

−0.1981 + 0.4223i

−0.6778 + 0.8812i

−0.5438 + 1.0415i

−0.5548 + 1.0221i

w24

11000

−1.0304 − 0.444i

−1.0971 − 0.18i

−1.1563 − 0.2084i

−1.146 − 0.1942i

w25

11001

−1.1103 − 0.1616i

−0.4907 − 0.2208i

−0.6667 − 0.2352i

−1.0305 − 0.5389i

w26

11010

−0.8946 − 0.6772i

−1.02 − 0.4423i

−1.039 − 0.5484i

−0.6951 − 0.233i

w27

11011

−0.4346 − 0.2063i

−0.8817 − 0.6772i

−0.8367 − 0.8248i

−0.8267 − 0.8177i

w28

11100

−0.4202 − 1.0404i

−0.18 − 1.0971i

−0.2126 − 0.6666i

−0.2293 − 0.7058i

w29

11101

−0.1661 − 1.1091i

−0.2211 − 0.4958i

−0.2344 − 0.2319i

−0.2086 − 1.144i

w30

11110

−0.6736 − 0.8966i

−0.4431 − 1.0196i

−0.1868 − 1.16i

−0.2677 − 0.2828i

w31

11111

−0.1981 − 0.4223i

−0.6778 − 0.8812i

−0.5438 − 1.0415i

−0.5548 − 1.0221i

or group B3:

R = ½ (or ⅝ or

R = ⅝ (or ½

R = ¾ (or ½ or

R = 13/16 (or

bit label

¾ or 13/16)

or ¾ or 13/16)

⅝ or 13/16)

½ or ⅝ or ¾)

00000

0.6588 + 0.2335i

0.6258 + 0.171i

0.7734 + 0.1898i

0.2229 + 0.2243i

00001

1.152 + 0.1943i

1.1753 + 0.2181i

1.1905 + 0.2491i

0.7488 + 0.1887i

00010

0.8934 + 0.7527i

0.2219 + 0.2216i

0.6881 + 0.5652i

0.6173 + 1.0647i

00011

1.0419 + 0.5284i

1.0354 + 0.5975i

0.9811 + 0.7188i

1.2067 + 0.242i

00100

0.2537 + 0.3006i

0.1925 + 1.1798i

0.2475 + 0.2277i

0.2183 + 0.7125i

00101

0.1583 + 0.7127i

0.5389 + 1.067i

0.2041 + 1.199i

0.6249 + 0.5473i

00110

0.6045 + 0.9997i

0.2194 + 0.6207i

0.2562 + 0.6908i

0.2129 + 1.2121i

00111

0.25 + 1.1412i

0.7778 + 0.8523i

0.6044 + 1.0554i

1.0247 + 0.6815i

01000

0.6588 − 0.2335i

0.6258 − 0.171i

0.7734 − 0.1898i

0.2229 − 0.2243i

01001

1.152 − 0.1943i

1.1753 − 0.2181i

1.1905 − 0.2491i

0.7488 − 0.1887i

w10

01010

0.8934 − 0.7527i

0.2219 − 0.2216i

0.6881 − 0.5652i

0.6173 − 1.0647i

w11

01011

1.0419 − 0.5284i

1.0354 − 0.5975i

0.9811 − 0.7188i

1.2067 − 0.242i

w12

01100

0.2537 − 0.3006i

0.1925 − 1.1798i

0.2475 − 0.2277i

0.2183 − 0.7125i

w13

01101

0.1583 − 0.7127i

0.5389 − 1.067i

0.2041 − 1.199i

0.6249 − 0.5473i

w14

01110

0.6045 − 0.9997i

0.2194 − 0.6207i

0.2562 − 0.6908i

0.2129 − 1.2121i

w15

01111

0.25 − 1.1412i

0.7778 − 0.8523i

0.6044 − 1.0554i

1.0247 − 0.6815i

w16

10000

−0.6588 + 0.2335i

−0.6258 + 0.171i

−0.7734 + 0.1898i

−0.2229 + 0.2243i

w17

10001

−1.152 + 0.1943i

−1.1753 + 0.2181i

−1.1905 + 0.2491i

−0.7488 + 0.1887i

w18

10010

−0.8934 + 0.7527i

−0.2219 + 0.2216i

−0.6881 + 0.5652i

−0.6173 + 1.0647i

w19

10011

−1.0419 + 0.5284i

−1.0354 + 0.5975i

−0.9811 + 0.7188i

−1.2067 + 0.242i

w20

10100

−0.2537 + 0.3006i

−0.1925 + 1.1798i

−0.2475 + 0.2277i

−0.2183 + 0.7125i

w21

10101

−0.1583 + 0.7127i

−0.5389 + 1.067i

−0.2041 + 1.199i

−0.6249 + 0.5473i

w22

10110

−0.6045 + 0.9997i

−0.2194 + 0.6207i

−0.2562 + 0.6908i

−0.2129 + 1.2121i

w23

10111

−0.25 + 1.1412i

−0.7778 + 0.8523i

−0.6044 + 1.0554i

−1.0247 + 0.6815i

w24

11000

−0.6588 − 0.2335i

−0.6258 − 0.171i

−0.7734 − 0.1898i

−0.2229 − 0.2243i

w25

11001

−1.152 − 0.1943i

−1.1753 − 0.2181i

−1.1905 − 0.2491i

−0.7488 − 0.1887i

w26

11010

−0.8934 − 0.7527i

−0.2219 − 0.2216i

−0.6881 − 0.5652i

−0.6173 − 1.0647i

w27

11011

−1.0419 − 0.5284i

−1.0354 − 0.5975i

−0.9811 − 0.7188i

−1.2067 − 0.242i

w28

11100

−0.2537 − 0.3006i

−0.1925 − 1.1798i

−0.2475 − 0.2277i

−0.2183 − 0.7125i

w29

11101

−0.1583 − 0.7127i

−0.5389 − 1.067i

−0.2041 − 1.199i

−0.6249 − 0.5473i

w30

11110

−0.6045 − 0.9997i

−0.2194 − 0.6207i

−0.2562 − 0.6908i

−0.2129 − 1.2121i

w31

11111

−0.25 − 1.1412i

−0.7778 − 0.8523i

−0.6044 − 1.0554i

−1.0247 − 0.6815i

C) 64-QAM non-uniform constellations of group C1:

R = ½ (or ⅝

R = ⅝ (or ½

R = ¾ (or ½

R = 13/16 (or

bit label

or ¾ or 13/16)

or ⅝ or 13/16)

½ or ⅝ or ¾)

000000

0.2287 + 0.5143i

0.1978 + 0.198i

1.0605 + 0.5953i

0.873 + 0.8874i

000001

0.2116 + 1.0918i

0.1916 + 1.1985i

0.1796 + 0.4943i

1.0395 + 0.6848i

000010

0.2828 + 0.5535i

0.4969 + 0.1984i

0.7562 + 0.4956i

0.6726 + 1.0474i

000011

0.214 + 1.0888i

0.4757 + 1.1166i

0.4954 + 0.5126i

0.6771 + 0.6619i

000100

0.6913 + 0.8711i

0.1862 + 0.5083i

1.1574 + 0.3735i

1.2358 + 0.1495i

000101

0.461 + 1.012i

0.171 + 0.8428i

0.1887 + 0.1816i

1.1669 + 0.4334i

000110

0.6929 + 0.8697i

0.479 + 0.5257i

0.8128 + 0.199i

0.8923 + 0.1387i

000111

0.4624 + 1.0114i

0.4272 + 0.8201i

0.5012 + 0.183i

0.8067 + 0.404i

001000

0.3191 + 0.2057i

1.1727 + 0.3125i

0.9378 + 0.7743i

0.1465 + 1.2361i

001001

1.0956 + 0.1876i

1.2022 + 0.1671i

0.1694 + 0.8236i

0.1412 + 0.8899i

w10

001010

0.5092 + 0.2494i

0.7798 + 0.2035i

0.7911 + 0.9225i

0.4261 + 1.1695i

w11

001011

1.093 + 0.2006i

0.6806 + 1.0049i

0.4477 + 0.779i

0.413 + 0.7955i

w12

001100

0.8876 + 0.67i

1.0766 + 0.5604i

1.2059 + 0.157i

0.1641 + 0.164i

w13

001101

1.0256 + 0.4299i

0.9914 + 0.7003i

0.1661 + 1.2048i

0.1442 + 0.5197i

w14

001110

0.8899 + 0.6666i

0.7425 + 0.5068i

0.6275 + 1.0418i

0.5218 + 0.1427i

w15

001111

1.0227 + 0.4368i

0.8329 + 0.8826i

0.4264 + 1.1388i

0.4324 + 0.4339i

w16

010000

0.2287 − 0.5143i

0.1978 − 0.198i

1.0605 − 0.5953i

0.873 − 0.8874i

w17

010001

0.2116 − 1.0918i

0.1916 − 1.1985i

0.1796 − 0.4943i

1.0395 − 0.6848i

w18

010010

0.2828 − 0.5535i

0.4969 − 0.1984i

0.7562 − 0.4956i

0.6726 − 1.0474i

w19

010011

0.214 − 1.0888i

0.4757 − 1.1166i

0.4954 − 0.5126i

0.6771 − 0.6619i

w20

010100

0.6913 − 0.8711i

0.1862 − 0.5083i

1.1574 − 0.3735i

1.2358 − 0.1495i

w21

010101

0.461 − 1.012i

0.171 − 0.8428i

0.1887 − 0.1816i

1.1669 − 0.4334i

w22

010110

0.6929 − 0.8697i

0.479 − 0.5257i

0.8128 − 0.199i

0.8923 − 0.1387i

w23

010111

0.4624 − 1.0114i

0.4272 − 0.8201i

0.5012 − 0.183i

0.8067 − 0.404i

w24

011000

0.3191 − 0.2057i

1.1727 − 0.3125i

0.9378 − 0.7743i

0.1465 − 1.2361i

w25

011001

1.0956 − 0.1876i

1.2022 − 0.1671i

0.1694 − 0.8236i

0.1412 − 0.8899i

w26

011010

0.5092 − 0.2494i

0.7798 − 0.2035i

0.7911 − 0.9225i

0.4261 − 1.1695i

w27

011011

1.093 − 0.2006i

0.6806 − 1.0049i

0.4477 − 0.779i

0.413 − 0.7955i

w28

011100

0.8876 − 0.67i

1.0766 − 0.5604i

1.2059 − 0.157i

0.1641 − 0.164i

w29

011101

1.0256 − 0.4299i

0.9914 − 0.7003i

0.1661 − 1.2048i

0.1442 − 0.5197i

w30

011110

0.8899 − 0.6666i

0.7425 − 0.5068i

0.6275 − 1.0418i

0.5218 − 0.1427i

w31

011111

1.0227 − 0.4368i

0.8329 − 0.8826i

0.4264 − 1.1388i

0.4324 − 0.4339i

w32

100000

−0.2287 + 0.5143i

−0.1978 + 0.198i

−1.0605 + 0.5953i

−0.873 + 0.8874i

w33

100001

−0.2116 + 1.0918i

−0.1916 + 1.1985i

−0.1796 + 0.4943i

−1.0395 + 0.6848i

w34

100010

−0.2828 + 0.5535i

−0.4969 + 0.1984i

−0.7562 + 0.4956i

−0.6726 + 1.0474i

w35

100011

−0.214 + 1.0888i

−0.4757 + 1.1166i

−0.4954 + 0.5126i

−0.6771 + 0.6619i

w36

100100

−0.6913 + 0.8711i

−0.1862 + 0.5083i

−1.1574 + 0.3735i

−1.2358 + 0.1495i

w37

100101

−0.461 + 1.012i

−0.171 + 0.8428i

−0.1887 + 0.1816i

−1.1669 + 0.4334i

w38

100110

−0.6929 + 0.8697i

−0.479 + 0.5257i

−0.8128 + 0.199i

−0.8923 + 0.1387i

w39

100111

−0.4624 + 1.0114i

−0.4272 + 0.8201i

−0.5012 + 0.183i

−0.8067 + 0.404i

w40

101000

−0.3191 + 0.2057i

−1.1727 + 0.3125i

−0.9378 + 0.7743i

−0.1465 + 1.2361i

w41

101001

−1.0956 + 0.1876i

−1.2022 + 0.1671i

−0.1694 + 0.8236i

−0.1412 + 0.8899i

w42

101010

−0.5092 + 0.2494i

−0.7798 + 0.2035i

−0.7911 + 0.9225i

−0.4261 + 1.1695i

w43

101011

−1.093 + 0.2006i

−0.6806 + 1.0049i

−0.4477 + 0.779i

−0.413 + 0.7955i

w44

101100

−0.8876 + 0.67i

−1.0766 + 0.5604i

−1.2059 + 0.157i

−0.1641 + 0.164i

w45

101101

−1.0256 + 0.4299i

−0.9914 + 0.7003i

−0.1661 + 1.2048i

−0.1442 + 0.5197i

w46

101110

−0.8899 + 0.6666i

−0.7425 + 0.5068i

−0.6275 + 1.0418i

−0.5218 + 0.1427i

w47

101111

−1.0227 + 0.4368i

−0.8329 + 0.8826i

−0.4264 + 1.1388i

−0.4324 + 0.4339i

w48

110000

−0.2287 − 0.5143i

−0.1978 − 0.198i

−1.0605 − 0.5953i

−0.873 − 0.8874i

w49

110001

−0.2116 − 1.0918i

−0.1916 − 1.1985i

−0.1796 − 0.4943i

−1.0395 − 0.6848i

w50

110010

−0.2828 − 0.5535i

−0.4969 − 0.1984i

−0.7562 − 0.4956i

−0.6726 − 1.0474i

w51

110011

−0.214 − 1.0888i

−0.4757 − 1.1166i

−0.4954 − 0.5126i

−0.6771 − 0.6619i

w52

110100

−0.6913 − 0.8711i

−0.1862 − 0.5083i

−1.1574 − 0.3735i

−1.2358 − 0.1495i

w53

110101

−0.461 − 1.012i

−0.171 − 0.8428i

−0.1887 − 0.1816i

−1.1669 − 0.4334i

w54

110110

−0.6929 − 0.8697i

−0.479 − 0.5257i

−0.8128 − 0.199i

−0.8923 − 0.1387i

w55

110111

−0.4624 − 1.0114i

−0.4272 − 0.8201i

−0.5012 − 0.183i

−0.8067 − 0.404i

w56

111000

−0.3191 − 0.2057i

−1.1727 − 0.3125i

−0.9378 − 0.7743i

−0.1465 − 1.2361i

w57

111001

−1.0956 − 0.1876i

−1.2022 − 0.1671i

−0.1694 − 0.8236i

−0.1412 − 0.8899i

w58

111010

−0.5092 − 0.2494i

−0.7798 − 0.2035i

−0.7911 − 0.9225i

−0.4261 − 1.1695i

w59

111011

−1.093 − 0.2006i

−0.6806 − 1.0049i

−0.4477 − 0.779i

−0.413 − 0.7955i

w60

111100

−0.8876 − 0.67i

−1.0766 − 0.5604i

−1.2059 − 0.157i

−0.1641 − 0.164i

w61

111101

−1.0256 − 0.4299i

−0.9914 − 0.7003i

−0.1661 − 1.2048i

−0.1442 − 0.5197i

w62

111110

−0.8899 − 0.6666i

−0.7425 − 0.5068i

−0.6275 − 1.0418i

−0.5218 − 0.1427i

w63

111111

−1.0227 − 0.4368i

−0.8329 − 0.8826i

−0.4264 − 1.1388i

−0.4324 − 0.4339i

or group C2:

R = ½ (or ⅝ or

R = ⅝ (or ½

R = ¾ (or ½

R = 13/16 (or

bit label

¾ or 13/16)

or ¾ or 13/16)

or ⅝ or 13/16)

½ or ⅝ or ¾)

000000

0.1298 + 0.2084i

0.3328 + 0.1665i

0.9596 + 0.4358i

1.022 + 0.4536i

000001

0.1883 + 1.3627i

0.5435 + 1.2609i

0.1328 + 0.5092i

0.1374 = 0.4738i

000010

0.217 + 0.4464i

0.1217 + 0.1744i

0.6561 + 0.4543i

0.6985 + 0.4499i

000011

0.1269 + 0.764i

0.1904 + 1.3623i

0.3855 + 0.4909i

0.413 + 0.4891i

000100

0.7986 + 1.12i

0.3528 + 0.4894i

0.9773 + 0.1483i

1.0021 + 0.1484i

000101

0.4538 + 1.1748i

0.4073 + 0.8478i

0.1256 + 0.1724i

0.1339 + 0.1575i

000110

0.4822 + 0.6563i

0.1288 + 0.5124i

0.6457 + 0.1512i

0.6852 + 0.1497i

000111

0.3148 + 0.8326i

0.1465 + 0.8935i

0.3703 + 0.1633i

0.4014 + 0.1605i

001000

0.2328 + 0.1185i

0.5998 + 0.1505i

1.2035 + 0.6663i

1.147 + 0.7594i

001001

1.3637 + 0.1808i

0.8781 + 1.0589i

0.1492 + 0.8611i

0.1479 + 0.8049i

w10

001010

0.4762 + 0.2045i

0.9411 + 0.1492i

0.7306 + 0.7613i

0.7571 + 0.7595i

w11

001011

0.827 + 0.1328i

1.3582 + 0.218i

0.4377 + 0.8492i

0.4503 + 0.8438i

w12

001100

1.0652 + 0.8657i

0.6339 + 0.4545i

1.3574 + 0.2231i

1.3596 + 0.2095i

w13

001101

1.262 + 0.5438i

0.7138 + 0.7632i

0.1858 + 1.2632i

0.1659 + 1.1736i

w14

001110

0.6765 + 0.4967i

0.9294 + 0.4189i

0.9009 + 1.0396i

0.841 + 1.0885i

w15

001111

0.8548 + 0.3591i

1.1995 + 0.6617i

0.5564 + 1.2461i

0.5064 + 1.2593i

w16

010000

0.1298 − 0.2084i

0.3328 − 0.1665i

0.9596 − 0.4358i

1.022 − 0.4536i

w17

010001

0.1883 − 1.3627i

0.5435 − 1.2609i

0.1328 − 0.5092i

0.1374 − 0.4738i

w18

010010

0.217 − 0.4464i

0.1217 − 0.1744i

0.6561 − 0.4543i

0.6985 − 0.4499i

w19

010011

0.1269 − 0.764i

0.1904 − 1.3623i

0.3855 − 0.4909i

0.413 − 0.4891i

w20

010100

0.7986 − 1.12i

0.3528 − 0.4894i

0.9773 − 0.1483i

1.0021 − 0.1484i

w21

010101

0.4538 − 1.1748i

0.4073 − 0.8478i

0.1256 − 0.1724i

0.1339 − 0.1575i

w22

010110

0.4822 − 0.6563i

0.1288 − 0.5124i

0.6457 − 0.1512i

0.6852 − 0.1497i

w23

010111

0.3148 − 0.8326i

0.1465 − 0.8935i

0.3703 − 0.1633i

0.4014 − 0.1605i

w24

011000

0.2328 − 0.1185i

0.5998 − 0.1505i

1.2035 − 0.6663i

1.147 − 0.7594i

w25

011001

1.3637 − 0.1808i

0.8781 − 1.0589i

0.1492 − 0.8611i

0.1479 − 0.8049i

w26

011010

0.4762 − 0.2045i

0.9411 − 0.1492i

0.7306 − 0.7613i

0.7571 − 0.7595i

w27

011011

0.827 − 0.1328i

1.3582 − 0.218i

0.4377 − 0.8492i

0.4503 − 0.8438i

w28

011100

1.0652 − 0.8657i

0.6339 − 0.4545i

1.3574 − 0.2231i

1.3596 − 0.2095i

w29

011101

1.262 − 0.5438i

0.7138 − 0.7632i

0.1858 − 1.2632i

0.1659 − 1.1736i

w30

011110

0.6765 − 0.4967i

0.9294 − 0.4189i

0.9009 − 1.0396i

0.841 − 1.0885i

w31

011111

0.8548 − 0.3591i

1.1995 − 0.6617i

0.5564 − 1.2461i

0.5064 − 1.2593i

w32

100000

−0.1298 + 0.2084i

−0.3328 + 0.1665i

−0.9596 + 0.4358i

−1.022 + 0.4536i

w33

100001

−0.1883 + 1.3627i

−0.5435 + 1.2609i

−0.1328 + 0.5092i

−0.1374 + 0.4738i

w34

100010

−0.217 + 0.4464i

−0.1217 + 0.1744i

−0.6561 + 0.4543i

−0.6985 + 0.4499i

w35

100011

−0.1269 + 0.764i

−0.1904 + 1.3623i

−0.3855 + 0.4909i

−0.413 + 0.4891i

w36

100100

−0.7986 + 1.12i

−0.3528 + 0.4894i

−0.9773 + 0.1483i

−1.0021 + 0.1484i

w37

100101

−0.4538 + 1.1748i

−0.4073 + 0.8478i

−0.1256 + 0.1724i

−0.1339 + 0.1575i

w38

100110

−0.4822 + 0.6563i

−0.1288 + 0.5124i

−0.6457 + 0.1512i

−0.6852 + 0.1497i

w39

100111

−0.3148 + 0.8326i

−0.1465 + 0.8935i

−0.3703 + 0.1633i

−0.4014 + 0.1605i

w40

101000

−0.2328 + 0.1185i

−0.5998 + 0.1505i

−1.2035 + 0.6663i

−1.147 + 0.7594i

w41

101001

−1.3637 + 0.1808i

−0.8781 + 1.0589i

−0.1492 + 0.8611i

−0.1479 + 0.8049i

w42

101010

−0.4762 + 0.2045i

−0.9411 + 0.1492i

−0.7306 + 0.7613i

−0.7571 + 0.7595i

w43

101011

−0.827 + 0.1328i

−1.3582 + 0.218i

−0.4377 + 0.8492i

−0.4503 + 0.8438i

w44

101100

−1.0652 + 0.8657i

−0.6339 + 0.4545i

−1.3574 + 0.2231i

−1.3596 + 0.2095i

w45

101101

−1.262 + 0.5438i

−0.7138 + 0.7632i

−0.1858 + 1.2632i

−0.1659 + 1.1736i

w46

101110

−0.6765 + 0.4967i

−0.9294 + 0.4189i

−0.9009 + 1.0396i

−0.841 + 1.0885i

w47

101111

−0.8548 + 0.3591i

−1.1995 + 0.6617i

−0.5564 + 1.2461i

−0.5064 + 1.2593i

w48

110000

−0.1298 − 0.2084i

−0.3328 − 0.1665i

−0.9596 − 0.4358i

−1.022 − 0.4536i

w49

110001

−0.1883 − 1.3627i

−0.5435 − 1.2609i

−0.1328 − 0.5092i

−0.1374 − 0.4738i

w50

110010

−0.217 − 0.4464i

−0.1217 − 0.1744i

−0.6561 − 0.4543i

−0.6985 − 0.4499i

w51

110011

−0.1269 − 0.764i

−0.1904 − 1.3623i

−0.3855 − 0.4909i

−0.413 − 0.4891i

w52

110100

−0.7986 − 1.12i

−0.3528 − 0.4894i

−0.9773 − 0.1483i

−1.0021 − 0.1484i

w53

110101

−0.4538 − 1.1748i

−0.4073 − 0.8478i

−0.1256 − 0.1724i

−0.1339 − 0.1575i

w54

110110

−0.4822 − 0.6563i

−0.1288 − 0.5124i

−0.6457 − 0.1512i

−0.6852 − 0.1497i

w55

110111

−0.3148 − 0.8326i

−0.1465 − 0.8935i

−0.3703 − 0.1633i

−0.4014 − 0.1605i

w56

111000

−0.2328 − 0.1185i

−0.5998 − 0.1505i

−1.2035 − 0.6663i

−1.147 − 0.7594i

w57

111001

−1.3637 − 0.1808i

−0.8781 − 1.0589i

−0.1492 − 0.8611i

−0.1479 − 0.8049i

w58

111010

−0.4762 − 0.2045i

−0.9411 − 0.1492i

−0.7306 − 0.7613i

−0.7571 − 0.7595i

w59

111011

−0.827 − 0.1328i

−1.3582 − 0.218i

−0.4377 − 0.8492i

−0.4503 − 0.8438i

w60

111100

−1.0652 − 0.8657i

−0.6339 − 0.4545i

−1.3574 − 0.2231i

−1.3596 − 0.2095i

w61

111101

−1.262 − 0.5438i

−0.7138 − 0.7632i

−0.1858 − 1.2632i

−0.1659 − 1.1736i

w62

111110

−0.6765 − 0.4967i

−0.9294 − 0.4189i

−0.9009 − 1.0396i

−0.841 − 1.0885i

w63

111111

−0.8548 − 0.3591i

−1.1995 − 0.6617i

−0.5564 − 1.2461i

−0.5064 − 1.2593i

or group C3:

R = ½ (or ⅝ or

R = ⅝ (or ½ or

R = ¾ (or ½ or

R = 13/16 (or ½

bit label

¾ or 13/16)

⅝ or 13/16)

or ⅝ or ¾)

000000

1.0569 + 0.7089i

0.8757 + 0.9247i

0.937 + 0.8841i

1.1723 + 0.5141i

000001

1.0841 + 0.6678i

1.045 + 0.728i

1.1063 + 0.6601i

0.1476 + 0.5364i

000010

0.819 + 0.9734i

0.7024 + 1.0623i

0.7126 + 1.0729i

0.7669 + 0.4573i

000011

0.7389 + 0.713i

0.6854 + 0.6748i

0.649 + 0.7077i

0.4449 + 0.4829i

000100

1.2554 + 0.2142i

1.2615 + 0.1746i

1.2781 + 0.1604i

1.004 + 0.174i

000101

1.2348 + 0.3103i

1.1831 + 0.4706i

1.0791 + 0.3764i

0.1371 + 0.1864i

000110

0.7562 + 0.1721i

0.8301 + 0.1381i

0.7714 + 0.1301i

0.7139 + 0.1521i

000111

0.7451 + 0.3181i

0.7748 + 0.3978i

0.7335 + 0.4268i

0.4208 + 0.1616i

001000

0.2187 + 1.2529i

0.1636 + 1.263i

0.1553 + 1.2788i

1.0216 + 0.771i

001001

0.1608 + 0.8472i

0.1378 + 0.8233i

0.1327 + 0.8728i

0.1431 + 0.9083i

w10

001010

0.5502 + 1.1466i

0.446 + 1.1929i

0.4463 + 1.2084i

0.7237 + 0.7521i

w11

001011

0.4217 + 0.7827i

0.3922 + 0.7613i

0.3935 + 0.8156i

0.4251 + 0.8248i

w12

001100

0.1479 + 0.17i

0.1453 + 0.1451i

0.1358 + 0.1626i

1.2711 + 0.1575i

w13

001101

0.1574 + 0.4709i

0.1295 + 0.4429i

0.1371 + 0.5004i

0.162 + 1.2706i

w14

001110

0.3867 + 0.1695i

0.4504 + 0.1426i

0.427 + 0.1484i

0.7403 + 1.045i

w15

001111

0.3923 + 0.4332i

0.4124 + 0.4207i

0.406 + 0.4481i

0.4693 + 1.1917i

w16

010000

1.0569 − 0.7089i

0.8757 − 0.9247i

0.937 − 0.8841i

1.1723 − 0.5141i

w17

010001

1.0841 − 0.6678i

1.045 − 0.728i

1.1063 − 0.6601i

0.1476 − 0.5364i

w18

010010

0.819 − 0.9734i

0.7024 − 1.0623i

0.7126 − 1.0729i

0.7669 − 0.4573i

w19

010011

0.7389 − 0.713i

0.6854 − 0.6748i

0.649 − 0.7077i

0.4449 − 0.4829i

w20

010100

1.2554 − 0.2142i

1.2615 − 0.1746i

1.2781 − 0.1604i

1.004 − 0.174i

w21

010101

1.2348 − 0.3103i

1.1831 − 0.4706i

1.0791 − 0.3764i

0.1371 − 0.1864i

w22

010110

0.7562 − 0.1721i

0.8301 − 0.1381i

0.7714 − 0.1301i

0.7139 − 0.1521i

w23

010111

0.7451 − 0.3181i

0.7748 − 0.3978i

0.7335 − 0.4268i

0.4208 − 0.1616i

w24

011000

0.2187 − 1.2529i

0.1636 − 1.263i

0.1553 − 1.2788i

1.0216 − 0.771i

w25

011001

0.1608 − 0.8472i

0.1378 − 0.8233i

0.1327 − 0.8728i

0.1431 − 0.9083i

w26

011010

0.5502 − 1.1466i

0.446 − 1.1929i

0.4463 − 1.2084i

0.7237 − 0.7521i

w27

011011

0.4217 − 0.7827i

0.3922 − 0.7613i

0.3935 − 0.8156i

0.4251 − 0.8248i

w28

011100

0.1479 − 0.17i

0.1453 − 0.1451i

0.1358 − 0.1626i

1.2711 − 0.1575i

w29

011101

0.1574 − 0.4709i

0.1295 − 0.4429i

0.1371 − 0.5004i

0.162 − 1.2706i

w30

011110

0.3867 − 0.1695i

0.4504 − 0.1426i

0.427 − 0.1484i

0.7403 − 1.045i

w31

011111

0.3923 − 0.4332i

0.4124 − 0.4207i

0.406 − 0.4481i

0.4693 − 1.1917i

w32

100000

−1.0569 + 0.7089i

−0.8757 + 0.9247i

−0.937 + 0.8841i

−1.1723 + 0.5141i

w33

100001

−1.0841 + 0.6678i

−1.045 + 0.728i

−1.1063 + 0.6601i

−0.1476 + 0.5364i

w34

100010

−0.819 + 0.9734i

−0.7024 + 1.0623i

−0.7126 + 1.0729i

−0.7669 + 0.4573i

w35

100011

−0.7389 + 0.713i

−0.6854 + 0.6748i

−0.649 + 0.7077i

−0.4449 + 0.4829i

w36

100100

−1.2554 + 0.2142i

−1.2615 + 0.1746i

−1.2781 + 0.1604i

−1.004 + 0.174i

w37

100101

−1.2348 + 0.3103i

−1.1831 + 0.4706i

−1.0791 + 0.3764i

−0.1371 + 0.1864i

w38

100110

−0.7562 + 0.1721i

−0.8301 + 0.1381i

−0.7714 + 0.1301i

−0.7139 + 0.1521i

w39

100111

−0.7451 + 0.3181i

−0.7748 + 0.3978i

−0.7335 + 0.4268i

−0.4208 + 0.1616i

w40

101000

−0.2187 + 1.2529i

−0.1636 + 1.263i

−0.1553 + 1.2788i

−1.0216 + 0.771i

w41

101001

−0.1608 + 0.8472i

−0.1378 + 0.8233i

−0.1327 + 0.8728i

−0.1431 + 0.9083i

w42

101010

−0.5502 + 1.1466i

−0.446 + 1.1929i

−0.4463 + 1.2084i

−0.7237 + 0.7521i

w43

101011

−0.4217 + 0.7827i

−0.3922 + 0.7613i

−0.3935 + 0.8156i

−0.4251 + 0.8248i

w44

101100

−0.1479 + 0.17i

−0.1453 + 0.1451i

−0.1358 + 0.1626i

−1.2711 + 0.1575i

w45

101101

−0.1574 + 0.4709i

−0 1295 + 0.4429i

−0.1371 + 0.5004i

−0.162 + 1.2706i

w46

101110

−0.3867 + 0.1695i

−0.4504 + 0.1426i

−0.427 + 0.1484i

−0.7403 + 1.045i

w47

101111

−0.3923 + 0.4332i

−0.4124 + 0.4207i

−0.406 + 0.4481i

−0.4693 + 1.1917i

w48

110000

−1.0569 − 0.7089i

−0.8757 − 0.9247i

−0.937 − 0.8841i

−1.1723 − 0.5141i

w49

110001

−1.0841 − 0.6678i

−1.045 − 0.728i

−1.1063 − 0.6601i

−0.1476 − 0.5364i

w50

110010

−0.819 − 0.9734i

−0.7024 − 1.0623i

−0.7126 − 1.0729i

−0.7669 − 0.4573i

w51

110011

−0.7389 − 0.713i

−0.6854 − 0.6748i

−0.649 − 0.7077i

−0.4449 − 0.4829i

w52

110100

−1.2554 − 0.2142i

−1.2615 − 0.1746i

−1.2781 − 0.1604i

−1.004 − 0.174i

w53

110101

−1.2348 − 0.3103i

−1.1831 − 0.4706i

−1.0791 − 0.3764i

−0.1371 − 0.1864i

w54

110110

−0.7562 − 0.1721i

−0.8301 − 0.1381i

−0.7714 − 0.1301i

−0.7139 − 0.1521i

w55

110111

−0.7451 − 0.3181i

−0.7748 − 0.3978i

−0.7335 − 0.4268i

−0.4208 − 0.1616i

w56

111000

−0.2187 − 1.2529i

−0.1636 − 1.263i

−0.1553 − 1.2788i

−1.0216 − 0.771i

w57

111001

−0.1608 − 0.8472i

−0.1378 − 0.8233i

−0.1327 − 0.8728i

−0.1431 − 0.9083i

w58

111010

−0.5502 − 1.1466i

−0.446 − 1.1929i

−0.4463 − 1.2084i

−0.7237 − 0.7521i

w59

111011

−0.4217 − 0.7827i

−0.3922 − 0.7613i

−0.3935 − 0.8156i

−0.4251 − 0.8248i

w60

111100

−0.1479 − 0.17i

−0.1453 − 0.1451i

−0.1358 − 0.1626i

−1.2711 − 0.1575i

w61

111101

−0.1574 − 0.4709i

−0.1295 − 0.4429i

−0.1371 − 0.5004i

−0.162 − 1.2706i

w62

111110

−0.3867 − 0.1695i

−0.4504 − 0.1426i

−0.427 − 0.1484i

−0.7403 − 1.045i

w63

111111

−0.3923 − 0.4332i

−0.4124 − 0.4207i

−0.406 − 0.4481i

−0.4693 − 1.1917i

wherein the bit labeling indicated in groups A, B and C may alternatively be inverted for one or more bit labels.

10. A transmission apparatus comprising:

a coding and modulation apparatus as claimed in claim 4 configured to encode and modulate input data into constellation values,

a converter configured to convert said constellation values into one or more transmission streams to be transmitted, and

a transmitter configured to transmit said one or more transmission streams.

11. The transmission apparatus as claimed in claim 10 ,

further comprising processing circuitry configured to embed transmitter signalling information into the one or more transmission streams, said transmitter signalling information including one or more of a) the total number N of constellation points and the code rate R of a constellation used, b) an indication of the constellation used, and c) constellation points of a constellation used.

12. The transmission apparatus as claimed in claim 11 ,

wherein a modulator is configured to select using a uniform constellation instead of one of said non-uniform constellations for modulating said cell words into constellation values, and

wherein said processing circuitry is configured to embed transmitter signalling information into the one or more transmission streams, said transmitter signalling information including constellation information indicating if a non-uniform constellation or a uniform constellation has been used for modulation.

13. The transmission apparatus as claimed in claim 11 ,

wherein said processing circuitry is configured to embed said transmitter signalling information at the beginning of frames of a plurality of frames used for transmission of the one or more transmission streams.

14. A transmission method comprising:

a coding and modulation method as claimed in claim 9 that encodes and modulates input data into constellation values,

converting said constellation values into one or more transmission streams to be transmitted, and

transmitting said one or more transmission streams.

15. A demodulation and decoding apparatus comprising:

a demodulator configured to demodulate constellation values of a non-uniform constellation into cell words and to assign bit combinations to constellation values of the used non-uniform constellation, and

a decoder configured to decode cell words into output data according to a low density parity check code, LDPC,

wherein said demodulator is configured to use, based on signalling information indicating a total number N of constellation points of a constellation and code rate R,

i) a non-uniform constellation and hit labeling from a group A if N=16, or

ii) a non-uniform constellation and hit labeling from a group B if N=32, or

iii) a non-uniform constellation and hit labeling from a group C if N=64, or

iv) a non-uniform constellation obtained from a constellation from anyone of groups A, B or C through rotation by an angle around an origin, through inversion of bit labels for all constellation points, through interchanging of hit positions, through mirroring on any line in a complex plane and/or through predistortion for the constellation points,

A) 16-QAM non-uniform constellations of group A1:

bit

R = ½ (or ⅝

R = ⅝ (or ½

R = ¾ (or ½

label

or ¾)

or ⅝)

0000

0.9236 + 0.3833i

0.2885 + 0.2883i

0.2989 + 0.3143i

0001

0.9236 + 0.3833i

1.085 + 0.3172i

1.0877 + 0.2957i

0010

0.3833 + 0.9236i

0.3168 + 1.0851i

0.2979 + 1.0872i

0011

0.3833 + 0.9236i

0.7973 + 0.8014i

0.8007 + 0.7934i

0100

0.9236 − 0.3833i

0.2885 − 0.2883i

0.2989 − 0.3143i

0101

0.9236 − 0.3833i

1.085 − 0.3172i

1.0877 − 0.2957i

0110

0.3833 − 0.9236i

0.3168 − 1.0851i

0.2979 − 1.0872i

0111

0.3833 − 0.9236i

0.7973 − 0.8014i

0.8007 − 0.7934i

1000

−0.9236 + 0.3833i

−0.2885 + 0.2883i

−0.2989 + 0.3143i

1001

−0.9236 + 0.3833i

−1.085 + 0.3172i

−1.0877 + 0.2957i

w10

1010

−0.3833 + 0.9236i

−0.3168 + 1.0851i

−0.2979 + 1.0872i

w11

1011

−0.3833 + 0.9236i

−0.7973 + 0.8014i

−0.8007 + 0.7934i

w12

1100

−0.9236 − 0.3833i

−0.2885 − 0.2883i

−0.2989 − 0.3143i

w13

1101

−0.9236 − 0.3833i

−1.085 − 0.3172i

−1.0877 − 0.2957i

w14

1110

−0.3833 − 0.9236i

−0.3168 − 1.0851i

−0.2979 − 1.0872i

w15

1111

−0.3833 − 0.9236i

−0.7973 − 0.8014i

−0.8007 − 0.7934i

or group A3:

bit

R = ½ (or ⅝

R = ⅝ (or ½

R = ¾ (or ½

label

or ¾)

or ⅝)

0000

0.8429 + 0.2537i

0.4349 + 0.1989i

0.9963 + 0.2925i

0001

0.9864 + 0.7471i

1.1973 + 0.4119i

0.9109 + 0.9109i

0010

0.2155 + 0.3413i

0.2573 + 0.7061i

0.3034 + 0.3034i

0011

0.3772 + 1.1785i

0.6759 + 1.0707i

0.2925 + 0.9963i

0100

0.8429 − 0.2537i

0.4349 − 0.1989i

0.9963 − 0.2925i

0101

0.9864 − 0.7471i

1.1973 − 0.4119i

0.9109 − 0.9109i

0110

0.2155 − 0.3413i

0.2573 − 0.7061i

0.3034 − 0.3034i

0111

0.3772 − 1.1785i

0.6759 − 1.0707i

0.2925 − 0.9963i

1000

−0.8429 + 0.2537i

−0.4349 + 0.1989i

−0.9963 + 0.2925i

1001

−0.9864 + 0.7471i

−1.1973 + 0.4119i

−0.9109 + 0.9109i

w10

1010

−0.2155 + 0.3413i

−0.2573 + 0.7061i

−0.3034 + 0.3034i

w11

1011

−0.3772 + 1.1785i

−0.6759 + 1.0707i

−0.2925 + 0.9963i

w12

1100

−0.8429 − 0.2537i

−0.4349 − 0.1989i

−0.9963 − 0.2925i

w13

1101

−0.9864 − 0.7471i

−1.1973 − 0.4119i

−0.9109 − 0.9109i

w14

1110

−0.2155 − 0.3413i

−0.2573 − 0.7061i

−0.3034 − 0.3034i

w15

1111

−0.3772 − 1.1785i

−0.6759 − 1.0707i

−0.2925 − 0.9963i

B) 32-QAM non-uniform constellations of group B1:

bit

R = ½ (or ⅝

R = ⅝ (or ½

R = ¾ (or ½

R = 13/16 (or ½

label

or ¾ or 13/16)

or ⅝ or 13/16)

or ⅝ or ¾)

00000

1.0304 + 0.444i

1.0971 + 0.18i

1.1563 + 0.2084i

1.146 + 0.1942i

00001

1.1103 + 0.1616i

0.4907 + 0.2208i

0.6667 + 0.2352i

1.0305 + 0.5389i

00010

0.8946 + 0.6772i

1.02 + 0.4423i

1.039 + 0.5484i

0.6951 + 0.233i

00011

0.4346 + 0.2063i

0.8817 + 0.6772i

0.8367 + 0.8248i

0.8267 + 0.8177i

00100

0.4202 + 1.0404i

0.18 + 1.0971i

0.2126 + 0.6666i

0.2293 + 0.7058i

00101

0.1661 + 1.1091i

0.2211 + 0.4958i

0.2344 + 0.2319i

0.2086 + 1.144i

00110

0.6736 + 0.8966i

0.4431 + 1.0196i

0.1868 + 1.16i

0.2677 + 0.2828i

00111

0.1981 + 0.4223i

0.6778 + 0.8812i

0.5438 + 1.0415i

0.5548 + 1.0221i

01000

1.0304 − 0.444i

1.0971 − 0.18i

1.1563 − 0.2084i

1.146 − 0.1942i

01001

1.1103 − 0.1616i

0.4907 − 0.2208i

0.6667 − 0.2352i

1.0305 − 0.5389i

w10

01010

0.8946 − 0.6772i

1.02 − 0.4423i

1.039 − 0.5484i

0.6951 − 0.233i

w11

01011

0.4346 − 0.2063i

0.8817 − 0.6772i

0.8367 − 0.8248i

0.8267 − 0.8177i

w12

01100

0.4202 − 1.0404i

0.18 − 1.0971i

0.2126 − 0.6666i

0.2293 − 0.7058i

w13

01101

0.1661 − 1.1091i

0.2211 − 0.4958i

0.2344 − 0.2319i

0.2086 − 1.144i

w14

01110

0.6736 − 0.8966i

0.4431 − 1.0196i

0.1868 − 1.16i

0.2677 − 0.2828i

w15

01111

0.1981 − 0.4223i

0.6778 − 0.8812i

0.5438 − 1.0415i

0.5548 − 1.0221i

w16

10000

−1.0304 + 0.444i

−1.0971 + 0.18i

−1.1563 + 0.2084i

−1.146 + 0.1942i

w17

10001

−1.1103 + 0.1616i

−0.4907 + 0.2208i

−0.6667 + 0.2352i

−1.0305 + 0.5389i

w18

10010

−0.8946 + 0.6772i

−1.02 + 0.4423i

−1.039 + 0.5484i

−0.6951 + 0.233i

w19

10011

−0.4346 + 0.2063i

−0.8817 + 0.6772i

−0.8367 + 0.8248i

−0.8267 + 0.8177i

w20

10100

−0.4202 + 1.0404i

−0.18 + 1.0971i

−0.2126 + 0.6666i

−0.2293 + 0.7058i

w21

10101

−0.1661 + 1.1091i

−0.2211 + 0.4958i

−0.2344 + 0.2319i

−0.2086 + 1.144i

w22

10110

−0.6736 + 0.8966i

−0.4431 + 1.0196i

−0.1868 + 1.16i

−0.2677 + 0.2828i

w23

10111

−0.1981 + 0.4223i

−0.6778 + 0.8812i

−0.5438 + 1.0415i

−0.5548 + 1.0221i

w24

11000

−1.0304 − 0.444i

−1.0971 − 0.18i

−1.1563 − 0.2084i

−1.146 − 0.1942i

w25

11001

−1.1103 − 0.1616i

−0.4907 − 0.2208i

−0.6667 − 0.2352i

−1.0305 − 0.5389i

w26

11010

−0.8946 − 0.6772i

−1.02 − 0.4423i

−1.039 − 0.5484i

−0.6951 − 0.233i

w27

11011

−0.4346 − 0.2063i

−0.8817 − 0.6772i

−0.8367 − 0.8248i

−0.8267 − 0.8177i

w28

11100

−0.4202 − 1.0404i

−0.18 − 1.0971i

−0.2126 − 0.6666i

−0.2293 − 0.7058i

w29

11101

−0.1661 − 1.1091i

−0.2211 − 0.4958i

−0.2344 − 0.2319i

−0.2086 − 1.144i

w30

11110

−0.6736 − 0.8966i

−0.4431 − 1.0196i

−0.1868 − 1.16i

−0.2677 − 0.2828i

w31

11111

−0.1981 − 0.4223i

−0.6778 − 0.8812i

−0.5438 − 1.0415i

−0.5548 − 1.0221i

or group B3:

bit

R = ½ (or ⅝

R = ⅝ (or ½

R = ¾ (or ½

R = 13/16 (or ½

label

or ¾ or 13/16)

or ⅝ or 13/16)

or ⅝ or ¾)

00000

0.6588 + 0.2335i

0.6258 + 0.171i

0.7734 + 0.1898i

0.2229 + 0.2243i

00001

1.152 + 0.1943i

1.1753 + 0.2181i

1.1905 + 0.2491i

0.7488 + 0.1887i

00010

0.8934 + 0.7527i

0.2219 + 0.2216i

0.6881 + 0.5652i

0.6173 + 1.0647i

00011

1.0419 + 0.5284i

1.0354 + 0.5975i

0.9811 + 0.7188i

1.2067 + 0.242i

00100

0.2537 + 0.3006i

0.1925 + 1.1798i

0.2475 + 0.2277i

0.2183 + 0.7125i

00101

0.1583 + 0.7127i

0.5389 + 1.067i

0.2041 + 1.199i

0.6249 + 0.5473i

00110

0.6045 + 0.9997i

0.2194 + 0.6207i

0.2562 + 0.6908i

0.2129 + 1.2121i

00111

0.25 + 1.1412i

0.7778 + 0.8523i

0.6044 + 1.0554i

1.0247 + 0.6815i

01000

0.6588 − 0.2335i

0.6258 − 0.171i

0.7734 − 0.1898i

0.2229 − 0.2243i

01001

1.152 − 0.1943i

1.1753 − 0.2181i

1.1905 − 0.2491i

0.7488 − 0.1887i

w10

01010

0.8934 − 0.7527i

0.2219 − 0.2216i

0.6881 − 0.5652i

0.6173 − 1.0647i

w11

01011

1.0419 − 0.5284i

1.0354 − 0.5975i

0.9811 − 0.7188i

1.2067 − 0.242i

w12

01100

0.2537 − 0.3006i

0.1925 − 1.1798i

0.2475 − 0.2277i

0.2183 − 0.7125i

w13

01101

0.1583 − 0.7127i

0.5389 − 1.067i

0.2041 − 1.199i

0.6249 − 0.5473i

w14

01110

0.6045 − 0.9997i

0.2194 − 0.6207i

0.2562 − 0.6908i

0.2129 − 1.2121i

w15

01111

0.25 − 1.1412i

0.7778 − 0.8523i

0.6044 − 1.0554i

1.0247 − 0.6815i

w16

10000

−0.6588 + 0.2335i

−0.6258 + 0.171i

−0.7734 + 0.1898i

−0.2229 + 0.2243i

w17

10001

−1.152 + 0.1943i

−1.1753 + 0.2181i

−1.1905 + 0.2491i

−0.7488 + 0.1887i

w18

10010

−0.8934 + 0.7527i

−0.2219 + 0.2216i

−0.6881 + 0.5652i

−0.6173 + 1.0647i

w19

10011

−1.0419 + 0.5284i

−1.0354 + 0.5975i

−0.9811 + 0.7188i

−1.2067 + 0.242i

w20

10100

−0.2537 + 0.3006i

−0.1925 + 1.1798i

−0.2475 + 0.2277i

−0.2183 + 0.7125i

w21

10101

−0.1583 + 0.7127i

−0.5389 + 1.067i

−0.2041 + 1.199i

−0.6249 + 0.5473i

w22

10110

−0.6045 + 0.9997i

−0.2194 + 0.6207i

−0.2562 + 0.6908i

−0.2129 + 1.2121i

w23

10111

−0.25 + 1.1412i

−0.7778 + 0.8523i

−0.6044 + 1.0554i

−1.0247 + 0.6815i

w24

11000

−0.6588 − 0.2335i

−0.6258 − 0.171i

−0.7734 − 0.1898i

−0.2229 − 0.2243i

w25

11001

−1.152 − 0.1943i

−1.1753 − 0.2181i

−1.1905 − 0.2491i

−0.7488 − 0.1887i

w26

11010

−0.8934 − 0.7527i

−0.2219 − 0.2216i

−0.6881 − 0.5652i

−0.6173 − 1.0647i

w27

11011

−1.0419 − 0.5284i

−1.0354 − 0.5975i

−0.9811 − 0.7188i

−1.2067 − 0.242i

w28

11100

−0.2537 − 0.3006i

−0.1925 − 1.1798i

−0.2475 − 0.2277i

−0.2183 − 0.7125i

w29

11101

−0.1583 − 0.7127i

−0.5389 − 1.067i

−0.2041 − 1.199i

−0.6249 − 0.5473i

w30

11110

−0.6045 − 0.9997i

−0.2194 − 0.6207i

−0.2562 − 0.6908i

−0.2129 − 1.2121i

w31

11111

−0.25 − 1.1412i

−0.7778 − 0.8523i

−0.6044 − 1.0554i

−1.0247 − 0.6815i

C) 64-QAM non-uniform constellations of group C1:

bit

R = ½ (or ⅝

R = ⅝ (or ½

R = ¾ (or ½

R = 13/16 (or ½

label

or ¾ or 13/16)

or ⅝ or 13/16)

or ⅝ or ¾)

000000

0.2287 + 0.5143i

0.1978 + 0.198i

1.0605 + 0.5953i

0.873 + 0.8874i

000001

0.2116 + 1.0918i

0.1916 + 1.1985i

0.1796 + 0.4943i

1.0395 + 0.6848i

000010

0.2828 + 0.5535i

0.4969 + 0.1984i

0.7562 + 0.4956i

0.6726 + 1.0474i

000011

0.214 + 1.0888i

0.4757 + 1.1166i

0.4954 + 0.5126i

0.6771 + 0.6619i

000100

0.6913 + 0.8711i

0.1862 + 0.5083i

1.1574 + 0.3735i

1.2358 + 0.1495i

000101

0.461 + 1.012i

0.171 + 0.8428i

0.1887 + 0.1816i

1.1669 + 0.4334i

000110

0.6929 + 0.8697i

0.479 + 0.5257i

0.8128 + 0.199i

0.8923 + 0.1387i

000111

0.4624 + 1.0114i

0.4272 + 0.8201i

0.5012 + 0.183i

0.8067 + 0.404i

001000

0.3191 + 0.2057i

1.1727 + 0.3125i

0.9378 + 0.7743i

0.1465 + 1.2361i

001001

1.0956 + 0.1876i

1.2022 + 0.1671i

0.1694 + 0.8236i

0.1412 + 0.8899i

w10

001010

0.5092 + 0.2494i

0.7798 + 0.2035i

0.7911 + 0.9225i

0.4261 + 1.1695i

w11

001011

1.093 + 0.2006i

0.6806 + 1.0049i

0.4477 + 0.779i

0.413 + 0.7955i

w12

001100

0.8876 + 0.67i

1.0766 + 0.5604i

1.2059 + 0.157i

0.1641 + 0.164i

w13

001101

1.0256 + 0.4299i

0.9914 + 0.7003i

0.1661 + 1.2048i

0.1442 + 0.5197i

w14

001110

0.8899 + 0.6666i

0.7425 + 0.5068i

0.6275 + 1.0418i

0.5218 + 0.1427i

w15

001111

1.0227 + 0.4368i

0.8329 + 0.8826i

0.4264 + 1.1388i

0.4324 + 0.4339i

w16

010000

0.2287 − 0.5143i

0.1978 − 0.198i

1.0605 − 0.5953i

0.873 − 0.8874i

w17

010001

0.2116 − 1.0918i

0.1916 − 1.1985i

0.1796 − 0.4943i

1.0395 − 0.6848i

w18

010010

0.2828 − 0.5535i

0.4969 − 0.1984i

0.7562 − 0.4956i

0.6726 − 1.0474i

w19

010011

0.214 − 1.0888i

0.4757 − 1.1166i

0.4954 − 0.5126i

0.6771 − 0.6619i

w20

010100

0.6913 − 0.8711i

0.1862 − 0.5083i

1.1574 − 0.3735i

1.2358 − 0.1495i

w21

010101

0.461 − 1.012i

0.171 − 0.8428i

0.1887 − 0.1816i

1.1669 − 0.4334i

w22

010110

0.6929 − 0.8697i

0.479 − 0.5257i

0.8128 − 0.199i

0.8923 − 0.1387i

w23

010111

0.4624 − 1.0114i

0.4272 − 0.8201i

0.5012 − 0.183i

0.8067 − 0.404i

w24

011000

0.3191 − 0.2057i

1.1727 − 0.3125i

0.9378 − 0.7743i

0.1465 − 1.2361i

w25

011001

1.0956 − 0.1876i

1.2022 − 0.1671i

0.1694 − 0.8236i

0.1412 − 0.8899i

w26

011010

0.5092 − 0.2494i

0.7798 − 0.2035i

0.7911 − 0.9225i

0.4261 − 1.1695i

w27

011011

1.093 − 0.2006i

0.6806 − 1.0049i

0.4477 − 0.779i

0.413 − 0.7955i

w28

011100

0.8876 − 0.67i

1.0766 − 0.5604i

1.2059 − 0.157i

0.1641 − 0.164i

w29

011101

1.0256 − 0.4299i

0.9914 − 0.7003i

0.1661 − 1.2048i

0.1442 − 0.5197i

w30

011110

0.8899 − 0.6666i

0.7425 − 0.5068i

0.6275 − 1.0418i

0.5218 − 0.1427i

w31

011111

1.0227 − 0.4368i

0.8329 − 0.8826i

0.4264 − 1.1388i

0.4324 − 0.4339i

w32

100000

−0.2287 + 0.5143i

−0.1978 + 0.198i

−1.0605 + 0.5953i

−0.873 + 0.8874i

w33

100001

−0.2116 + 1.0918i

−0.1916 + 1.1985i

−0.1796 + 0.4943i

−1.0395 + 0.6848i

w34

100010

−0.2828 + 0.5535i

−0.4969 + 0.1984i

−0.7562 + 0.4956i

−0.6726 + 1.0474i

w35

100011

−0.214 + 1.0888i

−0.4757 + 1.1166i

−0.4954 + 0.5126i

−0.6771 + 0.6619i

w36

100100

−0.6913 + 0.8711i

−0.1862 + 0.5083i

−1.1574 + 0.3735i

−1.2358 + 0.1495i

w37

100101

−0.461 + 1.012i

−0.171 + 0.8428i

−0.1887 + 0.1816i

−1.1669 + 0.4334i

w38

100110

−0.6929 + 0.8697i

−0.479 + 0.5257i

−0.8128 + 0.199i

−0.8923 + 0.1387i

w39

100111

−0.4624 + 1.0114i

−0.4272 + 0.8201i

−0.5012 + 0.183i

−0.8067 + 0.404i

w40

101000

−0.3191 + 0.2057i

−1.1727 + 0.3125i

−0.9378 + 0.7743i

−0.1465 + 1.2361i

w41

101001

−1.0956 + 0.1876i

−1.2022 + 0.1671i

−0.1694 + 0.8236i

−0.1412 + 0.8899i

w42

101010

−0.5092 + 0.2494i

−0.7798 + 0.2035i

−0.7911 + 0.9225i

−0.4261 + 1.1695i

w43

101011

−1.093 + 0.2006i

−0.6806 + 1.0049i

−0.4477 + 0.779i

−0.413 + 0.7955i

w44

101100

−0.8876 + 0.67i

−1.0766 + 0.5604i

−1.2059 + 0.157i

−0.1641 + 0.164i

w45

101101

−1.0256 + 0.4299i

−0.9914 + 0.7003i

−0.1661 + 1.2048i

−0.1442 + 0.5197i

w46

101110

−0.8899 + 0.6666i

−0.7425 + 0.5068i

−0.6275 + 1.0418i

−0.5218 + 0.1427i

w47

101111

−1.0227 + 0.4368i

−0.8329 + 0.8826i

−0.4264 + 1.1388i

−0.4324 + 0.4339i

w48

110000

−0.2287 − 0.5143i

−0.1978 − 0.198i

−1.0605 − 0.5953i

−0.873 − 0.8874i

w49

110001

−0.2116 − 1.0918i

−0.1916 − 1.1985i

−0.1796 − 0.4943i

−1.0395 − 0.6848i

w50

110010

−0.2828 − 0.5535i

−0.4969 − 0.1984i

−0.7562 − 0.4956i

−0.6726 − 1.0474i

w51

110011

−0.214 − 1.0888i

−0.4757 − 1.1166i

−0.4954 − 0.5126i

−0.6771 − 0.6619i

w52

110100

−0.6913 − 0.8711i

−0.1862 − 0.5083i

−1.1574 − 0.3735i

−1.2358 − 0.1495i

w53

110101

−0.461 − 1.012i

−0.171 − 0.8428i

−0.1887 − 0.1816i

−1.1669 − 0.4334i

w54

110110

−0.6929 − 0.8697i

−0.479 − 0.5257i

−0.8128 − 0.199i

−0.8923 − 0.1387i

w55

110111

−0.4624 − 1.0114i

−0.4272 − 0.8201i

−0.5012 − 0.183i

−0.8067 − 0.404i

w56

111000

−0.3191 − 0.2057i

−1.1727 − 0.3125i

−0.9378 − 0.7743i

−0.1465 − 1.2361i

w57

111001

−1.0956 − 0.1876i

−1.2022 − 0.1671i

−0.1694 − 0.8236i

−0.1412 − 0.8899i

w58

111010

−0.5092 − 0.2494i

−0.7798 − 0.2035i

−0.7911 − 0.9225i

−0.4261 − 1.1695i

w59

111011

−1.093 − 0.2006i

−0.6806 − 1.0049i

−0.4477 − 0.779i

−0.413 − 0.7955i

w60

111100

−0.8876 − 0.67i

−1.0766 − 0.5604i

−1.2059 − 0.157i

−0.1641 − 0.164i

w61

111101

−1.0256 − 0.4299i

−0.9914 − 0.7003i

−0.1661 − 1.2048i

−0.1442 − 0.5197i

w62

111110

−0.8899 − 0.6666i

−0.7425 − 0.5068i

−0.6275 − 1.0418i

−0.5218 − 0.1427i

w63

111111

−1.0227 − 0.4368i

−0.8329 − 0.8826i

−0.4264 − 1.1388i

−0.4324 − 0.4339i

or group C2:

bit

R = ½ (or ⅝

R = ⅝ (or ½

R = ¾ (or ½

R = 13/16 (or ½

label

or ¾ or 13/16)

or ⅝ or 13/16)

or ⅝ or ¾)

000000

0.1298 + 0.2084i

0.3328 + 0.1665i

0.9596 + 0.4358i

1.022 + 0.4536i

000001

0.1883 + 1.3627i

0.5435 + 1.2609i

0.1328 + 0.5092i

0.1374 + 0.4738i

000010

0.217 + 0.4464i

0.1217 + 0.1744i

0.6561 + 0.4543i

0.6985 + 0.4499i

000011

0.1269 + 0.764i

0.1904 + 1.3623i

0.3855 + 0.4909i

0.413 + 0.4891i

000100

0.7986 + 1.12i

0.3528 + 0.4894i

0.9773 + 0.1483i

1.0021 + 0.1484i

000101

0.4538 + 1.1748i

0.4073 + 0.8478i

0.1256 + 0.1724i

0.1339 + 0.1575i

000110

0.4822 + 0.6563i

0.1288 + 0.5124i

0.6457 + 0.1512i

0.6852 + 0.1497i

000111

0.3148 + 0.8326i

0.1465 + 0.8935i

0.3703 + 0.1633i

0.4014 + 0.1605i

001000

0.2328 + 0.1185i

0.5998 + 0.1505i

1.2035 + 0.6663i

1.147 + 0.7594i

001001

1.3637 + 0.1808i

0.8781 + 1.0589i

0.1492 + 0.8611i

0.1479 + 0.8049i

w10

001010

0.4762 + 0.2045i

0.9411 + 0.1492i

0.7306 + 0.7613i

0.7571 + 0.7595i

w11

001011

0.827 + 0.1328i

1.3582 + 0.218i

0.4377 + 0.8492i

0.4503 + 0.8438i

w12

001100

1.0652 + 0.8657i

0.6339 + 0.4545i

1.3574 + 0.2231i

1.3596 + 0.2095i

w13

001101

1.262 + 0.5438i

0.7138 + 0.7632i

0.1858 + 1.2632i

0.1659 + 1.1736i

w14

001110

0.6765 + 0.4967i

0.9294 + 0.4189i

0.9009 + 1.0396i

0.841 + 1.0885i

w15

001111

0.8548 + 0.3591i

1.1995 + 0.6617i

0.5564 + 1.2461i

0.5064 + 1.2593i

w16

010000

0.1298 − 0.2084i

0.3328 − 0.1665i

0.9596 − 0.4358i

1.022 − 0.4536i

w17

010001

0.1883 − 1.3627i

0.5435 − 1.2609i

0.1328 − 0.5092i

0.1374 − 0.4738i

w18

010010

0.217 − 0.4464i

0.1217 − 0.1744i

0.6561 − 0.4543i

0.6985 − 0.4499i

w19

010011

0.1269 − 0.764i

0.1904 − 1.3623i

0.3855 − 0.4909i

0.413 − 0.4891i

w20

010100

0.7986 − 1.12i

0.3528 − 0.4894i

0.9773 − 0.1483i

1.0021 − 0.1484i

w21

010101

0.4538 − 1.1748i

0.4073 − 0.8478i

0.1256 − 0.1724i

0.1339 − 0.1575i

w22

010110

0.4822 − 0.6563i

0.1288 − 0.5124i

0.6457 − 0.1512i

0.6852 − 0.1497i

w23

010111

0.3148 − 0.8326i

0.1465 − 0.8935i

0.3703 − 0.1633i

0.4014 − 0.1605i

w24

011000

0.2328 − 0.1185i

0.5998 − 0.1505i

1.2035 − 0.6663i

1.147 − 0.7594i

w25

011001

1.3637 − 0.1808i

0.8781 − 1.0589i

0.1492 − 0.8611i

0.1479 − 0.8049i

w26

011010

0.4762 − 0.2045i

0.9411 − 0.1492i

0.7306 − 0.7613i

0.7571 − 0.7595i

w27

011011

0.827 − 0.1328i

1.3582 − 0.218i

0.4377 − 0.8492i

0.4503 − 0.8438i

w28

011100

1.0652 − 0.8657i

0.6339 − 0.4545i

1.3574 − 0.2231i

1.3596 − 0.2095i

w29

011101

1.262 − 0.5438i

0.7138 − 0.7632i

0.1858 − 1.2632i

0.1659 − 1.1736i

w30

011110

0.6765 − 0.4967i

0.9294 − 0.4189i

0.9009 − 1.0396i

0.841 − 1.0885i

w31

011111

0.8548 − 0.3591i

1.1995 − 0.6617i

0.5564 − 1.2461i

0.5064 − 1.2593i

w32

100000

−0.1298 + 0.2084i

−0.3328 + 0.1665i

−0.9596 + 0.4358i

−1.022 + 0.4536i

w33

100001

−0.1883 + 1.3627i

−0.5435 + 1.2609i

−0.1328 + 0.5092i

−0.1374 + 0.4738i

w34

100010

−0.217 + 0.4464i

−0.1217 + 0.1744i

−0.6561 + 0.4543i

−0.6985 + 0.4499i

w35

100011

−0.1269 + 0.764i

−0.1904 + 1.3623i

−0.3855 + 0.4909i

−0.413 + 0.4891i

w36

100100

−0.7986 + 1.12i

−0.3528 + 0.4894i

−0.9773 + 0.1483i

−1.0021 + 0.1484i

w37

100101

−0.4538 + 1.1748i

−0.4073 + 0.8478i

−0.1256 + 0.1724i

−0.1339 + 0.1575i

w38

100110

−0.4822 + 0.6563i

−0.1288 + 0.5124i

−0.6457 + 0.1512i

−0.6852 + 0.1497i

w39

100111

−0.3148 + 0.8326i

−0.1465 + 0.8935i

−0.3703 + 0.1633i

−0.4014 + 0.1605i

w40

101000

−0.2328 + 0.1185i

−0.5998 + 0.1505i

−1.2035 + 0.6663i

−1.147 + 0.7594i

w41

101001

−1.3637 + 0.1808i

−0.8781 + 1.0589i

−0.1492 + 0.8611i

−0.1479 + 0.8049i

w42

101010

−0.4762 + 0.2045i

−0.9411 + 0.1492i

−0.7306 + 0.7613i

−0.7571 + 0.7595i

w43

101011

−0.827 + 0.1328i

−1.3582 + 0.218i

−0.4377 + 0.8492i

−0.4503 + 0.8438i

w44

101100

−1.0652 + 0.8657i

−0.6339 + 0.4545i

−1.3574 + 0.2231i

−1.3596 + 0.2095i

w45

101101

−1.262 + 0.5438i

−0.7138 + 0.7632i

−0.1858 + 1.2632i

−0.1659 + 1.1736i

w46

101110

−0.6765 + 0.4967i

−0.9294 + 0.4189i

−0.9009 + 1.0396i

−0.841 + 1.0885i

w47

101111

−0.8548 + 0.3591i

−1.1995 + 0.6617i

−0.5564 + 1.2461i

−0.5064 + 1.2593i

w48

110000

−0.1298 − 0.2084i

−0.3328 − 0.1665i

−0.9596 − 0.4358i

−1.022 − 0.4536i

w49

110001

−0.1883 − 1.3627i

−0.5435 − 1.2609i

−0.1328 − 0.5092i

−0.1374 − 0.4738i

w50

110010

−0.217 − 0.4464i

−0.1217 − 0.1744i

−0.6561 − 0.4543i

−0.6985 − 0.4499i

w51

110011

−0.1269 − 0.764i

−0.1904 − 1.3623i

−0.3855 − 0.4909i

−0.413 − 0.4891i

w52

110100

−0.7986 − 1.12i

−0.3528 − 0.4894i

−0.9773 − 0.1483i

−1.0021 − 0.1484i

w53

110101

−0.4538 − 1.1748i

−0.4073 − 0.8478i

−0.1256 − 0.1724i

−0.1339 − 0.1575i

w54

110110

−0.4822 − 0.6563i

−0.1288 − 0.5124i

−0.6457 − 0.1512i

−0.6852 − 0.1497i

w55

110111

−0.3148 − 0.8326i

−0.1465 − 0.8935i

−0.3703 − 0.1633i

−0.4014 − 0.1605i

w56

111000

−0.2328 − 0.1185i

−0.5998 − 0.1505i

−1.2035 − 0.6663i

−1.147 − 0.7594i

w57

111001

−1.3637 − 0.1808i

−0.8781 − 1.0589i

−0.1492 − 0.8611i

−0.1479 − 0.8049i

w58

111010

−0.4762 − 0.2045i

−0.9411 − 0.1492i

−0.7306 − 0.7613i

−0.7571 − 0.7595i

w59

111011

−0.827 − 0.1328i

−1.3582 − 0.218i

−0.4377 − 0.8492i

−0.4503 − 0.8438i

w60

111100

−1.0652 − 0.8657i

−0.6339 − 0.4545i

−1.3574 − 0.2231i

−1.3596 − 0.2095i

w61

111101

−1.262 − 0.5438i

−0.7138 − 0.7632i

−0.1858 − 1.2632i

−0.1659 − 1.1736i

w62

111110

−0.6765 − 0.4967i

−0.9294 − 0.4189i

−0.9009 − 1.0396i

−0.841 − 1.0885i

w63

111111

−0.8548 − 0.3591i

−1.1995 − 0.6617i

−0.5564 − 1.2461i

−0.5064 − 1.2593i

or group C3:

bit

R = ½ (or ⅝

R = ⅝ (or ½

R = ¾ (or ½

R = 13/16 (or ½

label

or ¾ or 13/16)

or ⅝ or 13/16)

or ⅝ or ¾)

000000

1.0569 + 0.7089i

0.8757 + 0.9247i

0.937 + 0.8841i

1.1723 + 0.5141i

000001

1.0841 + 0.6678i

1.045 + 0.728i

1.1063 + 0.6601i

0.1476 + 0.5364i

000010

0.819 + 0.9734i

0.7024 + 1.0623i

0.7126 + 1.0729i

0.7669 + 0.4573i

000011

0.7389 + 0.713i

0.6854 + 0.6748i

0.649 + 0.7077i

0.4449 + 0.4829i

000100

1.2554 + 0.2142i

1.2615 + 0.1746i

1.2781 + 0.1604i

1.004 + 0.174i

000101

1.2348 + 0.3103i

1.1831 + 0.4706i

1.0791 + 0.3764i

0.1371 + 0.1864i

000110

0.7562 + 0.1721i

0.8301 + 0.1381i

0.7714 + 0.1301i

0.7139 + 0.1521i

000111

0.7451 + 0.3181i

0.7748 + 0.3978i

0.7335 + 0.4268i

0.4208 + 0.1616i

001000

0.2187 + 1.2529i

0.1636 + 1.263i

0.1553 + 1.2788i

1.0216 + 0.771i

001001

0.1608 + 0.8472i

0.1378 + 0.8233i

0.1327 + 0.8728i

0.1431 + 0.9083i

w10

001010

0.5502 + 1.1466i

0.446 + 1.1929i

0.4463 + 1.2084i

0.7237 + 0.75211

w11

001011

0.4217 + 0.7827i

0.3922 + 0.7613i

0.3935 + 0.8156i

0.4251 + 0.8248i

w12

001100

0.1479 + 0.17i

0.1453 + 0.1451i

0.1358 + 0.1626i

1.2711 + 0.1575i

w13

001101

0.1574 + 0.4709i

0.1295 + 0.4429i

0.1371 + 0.5004i

0.162 + 1.2706i

w14

001110

0.3867 + 0.1695i

0.4504 + 0.1426i

0.427 + 0.1484i

0.7403 + 1.045i

w15

001111

0.3923 + 0.4332i

0.4124 + 0.4207i

0.406 + 0.4481i

0.4693 + 1.1917i

w16

010000

1.0569 − 0.7089i

0.8757 − 0.9247i

0.937 − 0.8841i

1.1723 − 0.5141i

w17

010001

1.0841 − 0.6678i

1.045 − 0.728i

1.1063 − 0.6601i

0.1476 − 0.5364i

w18

010010

0.819 − 0.9734i

0.7024 − 1.0623i

0.7126 − 1.0729i

0.7669 − 0.4573i

w19

010011

0.7389 − 0.713i

0.6854 − 0.6748i

0.649 − 0.7077i

0.4449 − 0.4829i

w20

010100

1.2554 − 0.2142i

1.2615 − 0.1746i

1.2781 − 0.1604i

1.004 − 0.174i

w21

010101

1.2348 − 0.3103i

1.1831 − 0.4706i

1.0791 − 0.3764i

0.1371 − 0.1864i

w22

010110

0.7562 − 0.1721i

0.8301 − 0.1381i

0.7714 − 0.1301i

0.7139 − 0.1521i

w23

010111

0.7451 − 0.3181i

0.7748 − 0.3978i

0.7335 − 0.4268i

0.4208 − 0.1616i

w24

011000

0.2187 − 1.2529i

0.1636 − 1.263i

0.1553 − 1.2788i

1.0216 − 0.771i

w25

011001

0.1608 − 0.8472i

0.1378 − 0.8233i

0.1327 − 0.8728i

0.1431 − 0.9083i

w26

011010

0.5502 − 1.1466i

0.446 − 1.1929i

0.4463 − 1.2084i

0.7237 − 0.7521i

w27

011011

0.4217 − 0.7827i

0.3922 − 0.7613i

0.3935 − 0.8156i

0.4251 − 0.8248i

w28

011100

0.1479 − 0.17i

0.1453 − 0.1451i

0.1358 − 0.1626i

1.2711 − 0.1575i

w29

011101

0.1574 − 0.4709i

0.1295 − 0.4429i

0.1371 − 0.5004i

0.162 − 1.2706i

w30

011110

0.3867 − 0.1695i

0.4504 − 0.1426i

0.427 − 0.1484i

0.7403 − 1.045i

w31

011111

0.3923 − 0.4332i

0.4124 − 0.4207i

0.406 − 0.4481i

0.4693 − 1.1917i

w32

100000

−1.0569 + 0.7089i

−0.8757 + 0.9247i

−0.937 + 0.8841i

−1.1723 + 0.5141i

w33

100001

−1.0841 + 0.6678i

−1.045 + 0.728i

−1.1063 + 0.6601i

−0.1476 + 0.5364i

w34

100010

−0.819 + 0.9734i

−0.7024 + 1.0623i

−0.7126 + 1.0729i

−0.7669 + 0.4573i

w35

100011

−0.7389 + 0.713i

−0.6854 + 0.6748i

−0.649 + 0.7077i

−0.4449 + 0.4829i

w36

100100

−1.2554 + 0.2142i

−1.2615 + 0.1746i

−1.2781 + 0.1604i

−1.004 + 0.174i

w37

100101

−1.2348 + 0.3103i

−1.1831 + 0.4706i

−1.0791 + 0.3764i

−0.1371 + 0.1864i

w38

100110

−0.7562 + 0.1721i

−0.8301 + 0.1381i

−0.7714 + 0.1301i

−0.7139 + 0.1521i

w39

100111

−0.7451 + 0.3181i

−0.7748 + 0.3978i

−0.7335 + 0.4268i

−0.4208 + 0.1616i

w40

101000

−0.2187 + 1.2529i

−0.1636 + 1.263i

−0.1553 + 1.2788i

−1.0216 + 0.771i

w41

101001

−0.1608 + 0.8472i

−0.1378 + 0.8233i

−0.1327 + 0.8728i

−0.1431 + 0.9083i

w42

101010

−0.5502 + 1.1466i

−0.446 + 1.1929i

−0.4463 + 1.2084i

−0.7237 + 0.7521i

w43

101011

−0.4217 + 0.7827i

−0.3922 + 0.7613i

−0.3935 + 0.8156i

−0.4251 + 0.8248i

w44

101100

−0.1479 + 0.17i

−0.1453 + 0.1451i

−0.1358 + 0.1626i

−1.2711 + 0.1575i

w45

101101

−0.1574 + 0.4709i

−0.1295 + 0.4429i

−0.1371 + 0.5004i

−0.162 + 1.2706i

w46

101110

−0.3867 + 0.1695i

−0.4504 + 0.1426i

−0.427 + 0.1484i

−0.7403 + 1.045i

w47

101111

−0.3923 + 0.4332i

−0.4124 + 0.4207i

−0.406 + 0.4481i

−0.4693 + 1.1917i

w48

110000

−1.0569 − 0.7089i

−0.8757 − 0.9247i

−0.937 − 0.8841i

−1.1723 − 0.5141i

w49

110001

−1.0841 − 0.6678i

−1.045 − 0.728i

−1.1063 − 0.6601i

−0.1476 − 0.5364i

w50

110010

−0.819 − 0.9734i

−0.7024 − 1.0623i

−0.7126 − 1.0729i

−0.7669 − 0.4573i

w51

110011

−0.7389 − 0.713i

−0.6854 − 0.6748i

−0.649 − 0.7077i

−0.4449 − 0.4829i

w52

110100

−1.2554 − 0.2142i

−1.2615 − 0.1746i

−1.2781 − 0.1604i

−1.004 − 0.174i

w53

110101

−1.2348 − 0.3103i

−1.1831 − 0.4706i

−1.0791 − 0.3764i

−0.1371 − 0.1864i

w54

110110

−0.7562 − 0.1721i

−0.8301 − 0.1381i

−0.7714 − 0.1301i

−0.7139 − 0.1521i

w55

110111

−0.7451 − 0.3181i

−0.7748 − 0.3978i

−0.7335 − 0.4268i

−0.4208 − 0.1616i

w56

111000

−0.2187 − 1.2529i

−0.1636 − 1.263i

−0.1553 − 1.2788i

−1.0216 − 0.771i

w57

111001

−0.1608 − 0.8472i

−0.1378 − 0.8233i

−0.1327 − 0.8728i

−0.1431 − 0.9083i

w58

111010

−0.5502 − 1.1466i

−0.446 − 1.1929i

−0.4463 − 1.2084i

−0.7237 − 0.7521i

w59

111011

−0.4217 − 0.7827i

−0.3922 − 0.7613i

−0.3935 − 0.8156i

−0.4251 − 0.8248i

w60

111100

−0.1479 − 0.17i

−0.1453 − 0.1451i

−0.1358 − 0.1626i

−1.2711 − 0.1575i

w61

111101

−0.1574 − 0.4709i

−0.1295 − 0.4429i

−0.1371 − 0.5004i

−0.162 − 1.2706i

w62

111110

−0.3867 − 0.1695i

−0.4504 − 0.1426i

−0.427 − 0.1484i

−0.7403 − 1.045i

w63

111111

−0.3923 − 0.4332i

−0.4124 − 0.4207i

−0.406 − 0.4481i

−0.4693 − 1.1917i

wherein the bit labeling indicated in groups A, B and C may alternatively be inverted for one or more bit labels.

16. A demodulation and decoding method. comprising:

demodulating constellation values of a non-uniform constellation into cell words and assigning bit combinations to constellation values of the used non-uniform constellation, and

decoding cell words into output data according to a low density parity check code, LDPC,

wherein said demodulating is configured to use, based on signalling information indicating a total number N of constellation points of a constellation and the code rate R,

i) a non-uniform constellation and hit labeling from a group A if N=16, or

ii) a non-uniform constellation and hit labeling from a group B if N=32, or

iii) a non-uniform constellation and hit labeling from a group C if N=64, or

A) 16-QAM non-uniform constellations of group A1:

bit

R = ½ (or ⅝

R = ⅝ (or ½

R = ¾ (or ½

label

or ¾)

or ⅝)

0000

0.9236 + 0.3833i

0.2885 + 0.2883i

0.2989 + 0.3143i

0001

0.9236 + 0.3833i

1.085 + 0.3172i

1.0877 + 0.2957i

0010

0.3833 + 0.9236i

0.3168 + 1.0851i

0.2979 + 1.0872i

0011

0.3833 + 0.9236i

0.7973 + 0.8014i

0.8007 + 0.7934i

0100

0.9236 − 0.3833i

0.2885 − 0.2883i

0.2989 − 0.3143i

0101

0.9236 − 0.3833i

1.085 − 0.3172i

1.0877 − 0.2957i

0110

0.3833 − 0.9236i

0.3168 − 1.0851i

0.2979 − 1.0872i

0111

0.3833 − 0.9236i

0.7973 − 0.8014i

0.8007 − 0.7934i

1000

−0.9236 + 0.3833i

−0.2885 + 0.2883i

−0.2989 + 0.3143i

1001

−0.9236 + 0.3833i

−1.085 + 0.3172i

−1.0877 + 0.2957i

w10

1010

−0.3833 + 0.9236i

−0.3168 + 1.0851i

−0.2979 + 1.0872i

w11

1011

−0.3833 + 0.9236i

−0.7973 + 0.8014i

−0.8007 + 0.7934i

w12

1100

−0.9236 − 0.3833i

−0.2885 − 0.2883i

−0.2989 − 0.3143i

w13

1101

−0.9236 − 0.3833i

−1.085 − 0.3172i

−1.0877 − 0.2957i

w14

1110

−0.3833 − 0.9236i

−0.3168 − 1.0851i

−0.2979 − 1.0872i

w15

1111

−0.3833 − 0.9236i

−0.7973 − 0.8014i

−0.8007 − 0.7934i

or group A3:

bit

R = ½ (or ⅝

R = ⅝ (or ½

R = ¾ (or ½

label

or ¾)

or ⅝)

0000

0.8429 + 0.2537i

0.4349 + 0.1989i

0.9963 + 0.2925i

0001

0.9864 + 0.7471i

1.1973 + 0.4119i

0.9109 + 0.9109i

0010

0.2155 + 0.3413i

0.2573 + 0.7061i

0.3034 + 0.3034i

0011

0.3772 + 1.1785i

0.6759 + 1.0707i

0.2925 + 0.9963i

0100

0.8429 − 0.2537i

0.4349 − 0.1989i

0.9963 − 0.2925i

0101

0.9864 − 0.7471i

1.1973 − 0.4119i

0.9109 − 0.9109i

0110

0.2155 − 0.3413i

0.2573 − 0.7061i

0.3034 − 0.3034i

0111

0.3772 − 1.1785i

0.6759 − 1.0707i

0.2925 − 0.9963i

1000

−0.8429 + 0.2537i

−0.4349 + 0.1989i

−0.9963 + 0.2925i

1001

−0.9864 + 0.7471i

−1.1973 + 0.4119i

−0.9109 + 0.9109i

w10

1010

−0.2155 + 0.3413i

−0.2573 + 0.7061i

−0.3034 + 0.3034i

w11

1011

−0.3772 + 1.1785i

−0.6759 + 1.0707i

−0.2925 + 0.9963i

w12

1100

−0.8429 − 0.2537i

−0.4349 − 0.1989i

−0.9963 − 0.2925i

w13

1101

−0.9864 − 0.7471i

−1.1973 − 0.4119i

−0.9109 − 0.9109i

w14

1110

−0.2155 − 0.3413i

−0.2573 − 0.7061i

−0.3034 − 0.3034i

w15

1111

−0.3772 − 1.1785i

−0.6759 − 1.0707i

−0.2925 − 0.9963i

B) 32-QAM non-uniform constellations of roup B1:

bit

R = ½ (or ⅝

R = ⅝ (or ½

R = ¾ (or ½

R = 13/16 (or ½

label

or ¾ or 13/16)

or ⅝ or 13/16)

or ⅝ or ¾)

00000

1.0304 + 0.444i

1.0971 + 0.18i

1.1563 + 0.2084i

1.146 + 0.1942i

00001

1.1103 + 0.1616i

0.4907 + 0.2208i

0.6667 + 0.2352i

1.0305 + 0.5389i

00010

0.8946 + 0.6772i

1.02 + 0.4423i

1.039 + 0.5484i

0.6951 + 0.233i

00011

0.4346 + 0.2063i

0.8817 + 0.6772i

0.8367 + 0.8248i

0.8267 + 0.8177i

00100

0.4202 + 1.0404i

0.18 + 1.0971i

0.2126 + 0.6666i

0.2293 + 0.7058i

00101

0.1661 + 1.1091i

0.2211 + 0.4958i

0.2344 + 0.2319i

0.2086 + 1.144i

00110

0.6736 + 0.8966i

0.4431 + 1.0196i

0.1868 + 1.16i

0.2677 + 0.2828i

00111

0.1981 + 0.4223i

0.6778 + 0.8812i

0.5438 + 1.0415i

0.5548 + 1.0221i

01000

1.0304 − 0.444i

1.0971 − 0.18i

1.1563 − 0.2084i

1.146 − 0.1942i

01001

1.1103 − 0.1616i

0.4907 − 0.2208i

0.6667 − 0.2352i

1.0305 − 0.5389i

w10

01010

0.8946 − 0.6772i

1.02 − 0.4423i

1.039 − 0.5484i

0.6951 − 0.233i

w11

01011

0.4346 − 0.2063i

0.8817 − 0.6772i

0.8367 − 0.8248i

0.8267 − 0.8177i

w12

01100

0.4202 − 1.0404i

0.18 − 1.0971i

0.2126 − 0.6666i

0.2293 − 0.7058i

w13

01101

0.1661 − 1.1091i

0.2211 − 0.4958i

0.2344 − 0.2319i

0.2086 − 1.144i

w14

01110

0.6736 − 0.8966i

0.4431 − 1.0196i

0.1868 − 1.16i

0.2677 − 0.2828i

w15

01111

0.1981 − 0.4223i

0.6778 − 0.8812i

0.5438 − 1.0415i

0.5548 − 1.0221i

w16

10000

−1.0304 + 0.444i

−1.0971 + 0.18i

−1.1563 + 0.2084i

−1.146 + 0.1942i

w17

10001

−1.1103 + 0.1616i

−0.4907 + 0.2208i

−0.6667 + 0.2352i

−1.0305 + 0.5389i

w18

10010

−0.8946 + 0.6772i

−1.02 + 0.4423i

−1.039 + 0.5484i

−0.6951 + 0.233i

w19

10011

−0 4346 + 0.2063i

−0.8817 + 0.5777i

−0.8367 + 0.8248i

−0.8267 + 0.8177i

w20

10100

−0.4202 + 1.0404i

−0.18 + 1.0971i

−0.2126 + 0.6666i

−0.2293 + 0.7058i

w21

10101

−0.1661 + 1.1091i

−0.2211 + 0.4958i

−0.2344 + 0.2319i

−0.2086 + 1.144i

w22

10110

−0.6736 + 0.8966i

−0.4431 + 1.0196i

−0.1868 + 1.16i

−0.2677 + 0.2828i

w23

10111

−0.1981 + 0.4223i

−0.6778 + 0.8812i

−0.5438 + 1.0415i

−0.5548 + 1.0221i

w24

11000

−1.0304 − 0.444i

−1.0971 − 0.18i

−1.1563 − 0.2084i

−1.146 − 0.1942i

w25

11001

−1.1103 − 0.1616i

−0.4907 − 0.2208i

−0.6667 − 0.2352i

−1.0305 − 0.5389i

w26

11010

−0.8946 − 0.6772i

−1.02 − 0.4423i

−1.039 − 0.5484i

−0.6951 − 0.233i

w27

11011

−0.4346 − 0.2063i

−0.8817 − 0.6772i

−0.8367 − 0.8248i

−0.8267 − 0.8177i

w28

11100

−0.4202 − 1.0404i

−0.18 − 1.0971i

−0.2126 − 0.6666i

−0.2293 − 0.7058i

w29

11101

−0.1661 − 1.1091i

−0.2211 − 0.4958i

−0.2344 − 0.2319i

−0.2086 − 1.144i

w30

11110

−0.6736 − 0.8966i

−0.4431 − 1.0196i

−0.1868 − 1.16i

−0.2677 − 0.2828i

w31

11111

−0.1981 − 0.4223i

−0.6778 − 0.8812i

−0.5438 − 1.0415i

−0.5548 − 1.0221i

or group B3:

bit

R = ½ (or ⅝

R = ⅝ (or ½

R = ¾ (or ½

R= 13/16 (or ½

label

or ¾ or 13/16)

or ⅝ or 13/16)

or ⅝ or ¾)

00000

0.6588 + 0.2335i

0.6258 + 0.171i

0.7734 + 0.1898i

0.2229 + 0.2243i

00001

1.152 + 0.1943i

1.1753 + 0.2181i

1.1905 + 0.2491i

0.7488 + 0.1887i

00010

0.8934 + 0.7527i

0.2219 + 0.2216i

0.6881 + 0.5652i

0.6173 + 1.0647i

00011

1.0419 + 0.5284i

1.0354 + 0.5975i

0.9811 + 0.7188i

1.2067 + 0.242i

00100

0.2537 + 0.3006i

0.1925 + 1.1798i

0.2475 + 0.2277i

0.2183 + 0.7125i

00101

0.1583 + 0.7127i

0.5389 + 1.067i

0.2041 + 1.199i

0.6249 + 0.5473i

00110

0.6045 + 0.9997i

0.2194 + 0.6207i

0.2562 + 0.6908i

0.2129 + 1.2121i

00111

0.25 + 1.1412i

0.7778 + 0.8523i

0.6044 + 1.0554i

1.0247 + 0.6815i

01000

0.6588 − 0.2335i

0.6258 − 0.171i

0.7734 − 0.1898i

0.2229 − 0.2243i

01001

1.152 − 0.1943i

1.1753 − 0.2181i

1.1905 − 0.2491i

0.7488 − 0.1887i

w10

01010

0.8934 − 0.7527i

0.2219 − 0.2216i

0.6881 − 0.5652i

0.6173 − 1.0647i

w11

01011

1.0419 − 0.5284i

1.0354 − 0.5975i

0.9811 − 0.7188i

1.2067 − 0.242i

w12

01100

0.2537 − 0.3006i

0.1925 − 1.1798i

0.2475 − 0.2277i

0.2183 − 0.7125i

w13

01101

0.1583 − 0.7127i

0.5389 − 1.067i

0.2041 − 1.199i

0.6249 − 0.5473i

w14

01110

0.6045 − 0.9997i

0.2194 − 0.6207i

0.2562 − 0.6908i

0.2129 − 1.2121i

w15

01111

0.25 − 1.1412i

0.7778 − 0.8523i

0.6044 − 1.0554i

1.0247 − 0.6815i

w16

10000

−0.6588 + 0.2335i

−0.6258 + 0.171i

−0.7734 + 0.1898i

−0.2229 + 0.2243i

w17

10001

−1.152 + 0.1943i

−1.1753 + 0.2181i

−1.1905 + 0.2491i

−0.7488 + 0.1887i

w18

10010

−0.8934 + 0.7527i

−0.2219 + 0.2216i

−0.6881 + 0.5652i

−0.6173 + 1.0647i

w19

10011

−1.0419 + 0.5284i

−1.0354 + 0.5975i

−0.9811 + 0.7188i

−1.2067 + 0.242i

w20

10100

−0.2537 + 0.3006i

−0.1925 + 1.1798i

−0.2475 + 0.2277i

−0.2183 + 0.7125i

w21

10101

−0.1583 + 0.7127i

−0.5389 + 1.067i

−0.2041 + 1.199i

−0.6249 + 0.5473i

w22

10110

−0.6045 + 0.9997i

−0.2194 + 0.6207i

−0.2562 + 0.6908i

−0.2129 + 1.2121i

w23

10111

−0.25 + 1.1412i

−0.7778 + 0.8523i

−0.6044 + 1.0554i

−1.0247 + 0.6815i

w24

11000

−0.6588 − 0.2335i

−0.6258 − 0.171i

−0.7734 − 0.1898i

−0.2229 − 0.2243i

w25

11001

−1.152 − 0.1943i

−1.1753 − 0.2181i

−1.1905 − 0.2491i

−0.7488 − 0.1887i

w26

11010

−0.8934 − 0.7527i

−0.2219 − 0.2216i

−0.6881 − 0.5652i

−0.6173 − 1.0647i

w27

11011

−1.0419 − 0.5284i

−1.0354 − 0.5975i

−0.9811 − 0.7188i

−1.2067 − 0.242i

w28

11100

−0.2537 − 0.3006i

−0.1925 − 1.1798i

−0.2475 − 0.2277i

−0.2183 − 0.7125i

w29

11101

−0.1583 − 0.7127i

−0.5389 − 1.067i

−0.2041 − 1.199i

−0.6249 − 0.5473i

w30

11110

−0.6045 − 0.9997i

−0.2194 − 0.6207i

−0.2562 − 0.6908i

−0.2129 − 1.2121i

w31

11111

−0.25 − 1.1412i

−0.7778 − 0.8523i

−0.6044 − 1.0554i

−1.0247 − 0.6815i

C) 64-QAM non--uniform constellations of group C1:

bit

R = ½ (or ⅝

R = ⅝ (or ½

R = ¾ (or ½

R = 13/16 (or ½

label

or ¾ or 13/16)

or ⅝ or 13/16)

or ⅝ or ¾)

000000

0.2287 + 0.5143i

0.1978 + 0.198i

1.0605 + 0.5953i

0.873 + 0.8874i

000001

0.2116 + 1.0918i

0.1916 + 1.1985i

0.1796 + 0.4943i

1.0395 + 0.6848i

000010

0.2828 + 0.5535i

0.4969 + 0.1984i

0.7562 + 0.4956i

0.6726 + 1.0474i

000011

0.214 + 1.0888i

0.4757 + 1.1166i

0.4954 + 0.5126i

0.6771 + 0.6619i

000100

0.6913 + 0.8711i

0.1862 + 0.5083i

1.1574 + 0.3735i

1.2358 + 0.1495i

000101

0.461 + 1.012i

0.171 + 0.8428i

0.1887 + 0.1816i

1.1669 + 0.4334i

000110

0.6929 + 0.8697i

0.479 + 0.5257i

0.8128 + 0.199i

0.8923 + 0.1387i

000111

0.4624 + 1.0114i

0.4272 + 0.8201i

0.5012 + 0.183i

0.8067 + 0.404i

001000

0.3191 + 0.2057i

1.1727 + 0.3125i

0.9378 + 0.7743i

0.1465 + 1.2361i

001001

1.0956 + 0.1876i

1.2022 + 0.1671i

0.1694 + 0.8236i

0.1412 + 0.8899i

w10

001010

0.5092 + 0.2494i

0.7798 + 0.2035i

0.7911 + 0.9225i

0.4261 + 1.1695i

w11

001011

1.093 + 0.2006i

0.6806 + 1.0049i

0.4477 + 0.779i

0.413 + 0.7955i

w12

001100

0.8876 + 0.67i

1.0766 + 0.5604i

1.2059 + 0.157i

0.1641 + 0.164i

w13

001101

1.0256 + 0.4299i

0.9914 + 0.7003i

0.1661 + 1.2048i

0.1442 + 0.5197i

w14

001110

0.8899 + 0.6666i

0.7425 + 0.5068i

0.6275 + 1.0418i

0.5218 + 0.1427i

w15

001111

1.0227 + 0.4368i

0.8329 + 0.8826i

0.4264 + 1.1388i

0.4324 + 0.4339i

w16

010000

0.2287 − 0.5143i

0.1978 − 0.198i

1.0605 − 0.5953i

0.873 − 0.8874i

w17

010001

0.2116 − 1.0918i

0.1916 − 1.1985i

0.1796 − 0.4943i

1.0395 − 0.6848i

w18

010010

0.2828 − 0.5535i

0.4969 − 0.1984i

0.7562 − 0.4956i

0.6726 − 1.0474i

w19

010011

0.214 − 1.0888i

0.4757 − 1.1166i

0.4954 − 0.5126i

0.6771 − 0.6619i

w20

010100

0.6913 − 0.8711i

0.1862 − 0.5083i

1.1574 − 0.3735i

1.2358 − 0.1495i

w21

010101

0.461 − 1.012i

0.171 − 0.8428i

0.1887 − 0.1816i

1.1669 − 0.4334i

w22

010110

0.6929 − 0.8697i

0.479 − 0.5257i

0.8128 − 0.199i

0.8923 − 0.1387i

w23

010111

0.4624 − 1.0114i

0.4272 − 0.8201i

0.5012 − 0.183i

0.8067 − 0.404i

w24

011000

0.3191 − 0.2057i

1.1727 − 0.3125i

0.9378 − 0.7743i

0.1465 − 1.2361i

w25

011001

1.0956 − 0.1876i

1.2022 − 0.1671i

0.1694 − 0.8236i

0.1412 − 0.8899i

w26

011010

0.5092 − 0.2494i

0.7798 − 0.2035i

0.7911 − 0.9225i

0.4261 − 1.1695i

w27

011011

1.093 − 0.2006i

0.6806 − 1.0049i

0.4477 − 0.779i

0.413 − 0.7955i

w28

011100

0.8876 − 0.67i

1.0766 − 0.5604i

1.2059 − 0.157i

0.1641 − 0.164i

w29

011101

1.0256 − 0.4299i

0.9914 − 0.7003i

0.1661 − 1.2048i

0.1442 − 0.5197i

w30

011110

0.8899 − 0.6666i

0.7425 − 0.5068i

0.6275 − 1.0418i

0.5218 − 0.1427i

w31

011111

1.0227 − 0.4368i

0.8329 − 0.8826i

0.4264 − 1.1388i

0.4324 − 0.4339i

w32

100000

−0.2287 + 0.5143i

−0.1978 + 0.198i

−1.0605 + 0.5953i

−0.873 + 0.8874i

w33

100001

−0.2116 + 1.0918i

−0.1916 + 1.1985i

−0.1796 + 0.4943i

−1.0395 + 0.6848i

w34

100010

−0.2828 + 0.5535i

−0.4969 + 0.1984i

−0.7562 + 0.4956i

−0.6726 + 1.0474i

w35

100011

−0.214 + 1.0888i

−0.4757 + 1.1166i

−0.4954 + 0.5126i

−0.6771 + 0.6619i

w36

100100

−0.6913 + 0.8711i

−0.1862 + 0.5083i

−1.1574 + 0.3735i

−1.2358 + 0.1495i

w37

100101

−0.461 + 1.012i

−0.171 + 0.8428i

−0.1887 + 0.1816i

−1.1669 + 0.4334i

w38

100110

−0.6929 + 0.8697i

−0.479 + 0.5257i

−0.8128 + 0.199i

−0.8923 + 0.1387i

w39

100111

−0.4624 + 1.0114i

−0.4272 + 0.8201i

−0.5012 + 0.183i

−0.8067 + 0.404i

w40

101000

−0.3191 + 0.2057i

−1.1727 + 0.3125i

−0.9378 + 0.7743i

−0.1465 + 1.2361i

w41

101001

−1.0956 + 0.1876i

−1.2022 + 0.1671i

−0.1694 + 0.8236i

−0.1412 + 0.8899i

w42

101010

−0.5092 + 0.2494i

−0.7798 + 0.2035i

−0.7911 + 0.9225i

−0.4261 + 1.1695i

w43

101011

−1.093 + 0.2006i

−0.6806 + 1.0049i

−0.4477 + 0.779i

−0.413 + 0.7955i

w44

101100

−0.8876 + 0.67i

−1.0766 + 0.5604i

−1.2059 + 0.157i

−0.1641 + 0.164i

w45

101101

−1.0256 + 0.4299i

−0.9914 + 0.7003i

−0.1661 + 1.2048i

−0.1442 + 0.5197i

w46

101110

−0.8899 + 0.6666i

−0.7425 + 0.5068i

−0.6275 + 1.0418i

−0.5218 + 0.1427i

w47

101111

−1.0227 + 0.4368i

−0.8329 + 0.8826i

−0.4264 + 1.1388i

−0.4324 + 0.4339i

w48

110000

−0.2287 − 0.5143i

−0.1978 − 0.198i

−1.0605 − 0.5953i

−0.873 − 0.8874i

w49

110001

−0.2116 − 1.0918i

−0.1916 − 1.1985i

−0.1796 − 0.4943i

−1.0395 − 0.6848i

w50

110010

−0.2828 − 0.5535i

−0.4969 − 0.1984i

−0.7562 − 0.4956i

−0.6726 − 1.0474i

w51

110011

−0.214 − 1.0888i

−0.4757 − 1.1166i

−0.4954 − 0.5126i

−0.6771 − 0.6619i

w52

110100

−0.6913 − 0.8711i

−0.1862 − 0.5083i

−1.1574 − 0.3735i

−1.2358 − 0.1495i

w53

110101

−0.461 − 1.012i

−0.171 − 0.8428i

−0.1887 − 0.1816i

−1.1669 − 0.4334i

w54

110110

−0.6929 − 0.8697i

−0.479 − 0.5257i

−0.8128 − 0.199i

−0.8923 − 0.1387i

w55

110111

−0.4624 − 1.0114i

−0.4272 − 0.8201i

−0.5012 − 0.183i

−0.8067 − 0.404i

w56

111000

−0.3191 − 0.2057i

−1.1727 − 0.3125i

−0.9378 − 0.7743i

−0.1465 − 1.2361i

w57

111001

−1.0956 − 0.1876i

−1.2022 − 0.1671i

−0.1694 − 0.8236i

−0.1412 − 0.8899i

w58

111010

−0.5092 − 0.2494i

−0.7798 − 0.2035i

−0.7911 − 0.9225i

−0.4261 − 1.1695i

w59

111011

−1.093 − 0.2006i

−0.6806 − 1.0049i

−0.4477 − 0.779i

−0.413 − 0.7955i

w60

111100

−0.8876 − 0.67i

−1.0766 − 0.5604i

−1.2059 − 0.157i

−0.1641 − 0.164i

w61

111101

−1.0256 − 0.4299i

−0.9914 − 0.7003i

−0.1661 − 1.2048i

−0.1442 − 0.5197i

w62

111110

−0.8899 − 0.6666i

−0.7425 − 0.5068i

−0.6275 − 1.0418i

−0.5218 − 0.1427i

w63

111111

−1.0227 − 0.4368i

−0.8329 − 0.8826i

−0.4264 − 1.1388i

−0.4324 − 0.4339i

or group C2:

bit

R = ½ (or ⅝

R = ⅝ (or ½

R = ¾ (or ½

R = 13/16 (or ½

label

or ¾ or 13/16)

or ⅝ or 13/16)

or ⅝ or ¾)

000000

0.1298 + 0.2084i

0.3328 + 0.1665i

0.9596 + 0.4358i

1.022 + 0.4536i

000001

0.1883 + 1.3627i

0.5435 + 1.2609i

0.1328 + 0.5092i

0.1374 + 0.4738i

000010

0.217 + 0.4464i

0.1217 + 0.1744i

0.6561 + 0.4543i

0.6985 + 0.4499i

000011

0.1269 + 0.764i

0.1904 + 1.3623i

0.3855 + 0.4909i

0.413 + 0.4891i

000100

0.7986 + 1.12i

0.3528 + 0.4894i

0.9773 + 0.1483i

1.0021 + 0.1484i

000101

0.4538 + 1.1748i

0.4073 + 0.8478i

0.1256 + 0.1724i

0.1339 + 0.1575i

000110

0.4822 + 0.6563i

0.1288 + 0.5124i

0.6457 + 0.1512i

0.6852 + 0.1497i

000111

0.3148 + 0.8326i

0.1465 + 0.8935i

0.3703 + 0.1633i

0.4014 + 0.1605i

001000

0.2328 + 0.1185i

0.5998 + 0.1505i

1.2035 + 0.6663i

1.147 + 0.7594i

001001

1.3637 + 0.1808i

0.8781 + 1.0589i

0.1492 + 0.8611i

0.1479 + 0.8049i

w10

001010

0.4762 + 0.2045i

0.9411 + 0.1492i

0.7306 + 0.7613i

0.7571 + 0.7595i

w11

001011

0.827 + 0.1328i

1.3582 + 0.218i

0.4377 + 0.8492i

0.4503 + 0.8438i

w12

001100

1.0652 + 0.8657i

0.6339 + 0.4545i

1.3574 + 0.2231i

1.3596 + 0.2095i

w13

001101

1.262 + 0.5438i

0.7138 + 0.7632i

0.1858 + 1.2632i

0.1659 + 1.1736i

w14

001110

0.6765 + 0.4967i

0.9294 + 0.4189i

0.9009 + 1.0396i

0.841 + 1.0885i

w15

001111

0.8548 + 0.3591i

1.1995 + 0.6617i

0.5564 + 1.2461i

0.5064 + 1.2593i

w16

010000

0.1298 − 0.2084i

0.3328 − 0.1665i

0.9596 − 0.4358i

1.022 − 0.4536i

w17

010001

0.1883 − 1.3627i

0.5435 − 1.2609i

0.1328 − 0.5092i

0.1374 − 0.4738i

w18

010010

0.217 − 0.4464i

0.1217 − 0.1744i

0.6561 − 0.4543i

0.6985 − 0.4499i

w19

010011

0.1269 − 0.764i

0.1904 − 1.3623i

0.3855 − 0.4909i

0.413 − 0.4891i

w20

010100

0.7986 − 1.12i

0.3528 − 0.4894i

0.9773 − 0.1483i

1.0021 − 0.1484i

w21

010101

0.4538 − 1.1748i

0.4073 − 0.8478i

0.1256 − 0.1724i

0.1339 − 0.1575i

w22

010110

0.4822 − 0.6563i

0.1288 − 0.5124i

0.6457 − 0.1512i

0.6852 − 0.1497i

w23

010111

0.3148 − 0.8326i

0.1465 − 0.8935i

0.3703 − 0.1633i

0.4014 − 0.1605i

w24

011000

0.2328 − 0.1185i

0.5998 − 0.1505i

1.2035 − 0.6663i

1.147 − 0.7594i

w25

011001

1.3637 − 0.1808i

0.8781 − 1.0589i

0.1492 − 0.8611i

0.1479 − 0.8049i

w26

011010

0.4762 − 0.2045i

0.9411 − 0.1492i

0.7306 − 0.7613i

0.7571 − 0.7595i

w27

011011

0.827 − 0.1328i

1.3582 − 0.218i

0.4377 − 0.8492i

0.4503 − 0.8438i

w28

011100

1.0652 − 0.8657i

0.6339 − 0.4545i

1.3574 − 0.2231i

1.3596 − 0.2095i

w29

011101

1.262 − 0.5438i

0.7138 − 0.7632i

0.1858 − 1.2632i

0.1659 − 1.1736i

w30

011110

0.6765 − 0.4967i

0.9294 − 0.4189i

0.9009 − 1.0396i

0.841 − 1.0885i

w31

011111

0.8548 − 0.3591i

1.1995 − 0.6617i

0.5564 − 1.2461i

0.5064 − 1.2593i

w32

100000

−0.1298 + 0.2084i

−0.3328 + 0.1665i

−0.9596 + 0.4358i

−1.022 + 0.4536i

w33

100001

−0.1883 + 1.3627i

−0.5435 + 1.2609i

−0.1328 + 0.5092i

−0.1374 + 0.4738i

w34

100010

−0.217 + 0.4464i

−0.1217 + 0.1744i

−0.6561 + 0.4543i

−0.6985 + 0.4499i

w35

100011

−0.1269 + 0.764i

−0.1904 + 1.3623i

−0.3855 + 0.4909i

−0.413 + 0.4891i

w36

100100

−0.7986 + 1.12i

−0.3528 + 0.4894i

−0.9773 + 0.1483i

−1.0021 + 0.1484i

w37

100101

−0.4538 + 1.1748i

−0.4073 + 0.8478i

−0.1256 + 0.1724i

−0.1339 + 0.1575i

w38

100110

−0.4822 + 0.6563i

−0.1288 + 0.5124i

−0.6457 + 0.1512i

−0.6852 + 0.1497i

w39

100111

−0.3148 + 0.8326i

−0.1465 + 0.8935i

−0.3703 + 0.1633i

−0.4014 + 0.1605i

w40

101000

−0.2328 + 0.1185i

−0.5998 + 0.1505i

−1.2035 + 0.6663i

−1.147 + 0.7594i

w41

101001

−1.3637 + 0.1808i

−0.8781 + 1.0589i

−0.1492 + 0.8611i

−0.1479 + 0.8049i

w42

101010

−0.4762 + 0.2045i

−0.9411 + 0.1492i

−0.7306 + 0.7613i

−0.7571 + 0.7595i

w43

101011

−0.827 + 0.1328i

−1.3582 + 0.218i

−0.4377 + 0.8492i

−0.4503 + 0.8438i

w44

101100

−1.0652 + 0.8657i

−0.6339 + 0.4545i

−1.3574 + 0.2231i

−1.3596 + 0.2095i

w45

101101

−1.262 + 0.5438i

−0.7138 + 0.7632i

−0.1858 + 1.2632i

−0.1659 + 1.1736i

w46

101110

−0.6765 + 0.4967i

−0.9294 + 0.4189i

−0.9009 + 1.0396i

−0.841 + 1.0885i

w47

101111

−0.8548 + 0.3591i

−1.1995 + 0.6617i

−0.5564 + 1.2461i

−0.5064 + 1.2593i

w48

110000

−0.1298 − 0.2084i

−0.3328 − 0.1665i

−0.9596 − 0.4358i

−1.022 − 0.4536i

w49

110001

−0.1883 − 1.3627i

−0.5435 − 1.2609i

−0.1328 − 0.5092i

−0.1374 − 0.4738i

w50

110010

−0.217 − 0.4464i

−0.1217 − 0.1744i

−0.6561 − 0.4543i

−0.6985 − 0.4499i

w51

110011

−0.1269 − 0.764i

−0.1904 − 1.3623i

−0.3855 − 0.4909i

−0.413 − 0.4891i

w52

110100

−0.7986 − 1.12i

−0.3528 − 0.4894i

−0.9773 − 0.1483i

−1.0021 − 0.1484i

w53

110101

−0.4538 − 1.1748i

−0.4073 − 0.8478i

−0.1256 − 0.1724i

−0.1339 − 0.1575i

w54

110110

−0.4822 − 0.6563i

−0.1288 − 0.5124i

−0.6457 − 0.1512i

−0.6852 − 0.1497i

w55

110111

−0.3148 − 0.8326i

−0.1465 − 0.8935i

−0.3703 − 0.1633i

−0.4014 − 0.1605i

w56

111000

−0.2328 − 0.1185i

−0.5998 − 0.1505i

−1.2035 − 0.6663i

−1.147 − 0.7594i

w57

111001

−1.3637 − 0.1808i

−0.8781 − 1.0589i

−0.1492 − 0.8611i

−0.1479 − 0.8049i

w58

111010

−0.4762 − 0.2045i

−0.9411 − 0.1492i

−0.7306 − 0.7613i

−0.7571 − 0.7595i

w59

111011

−0.827 − 0.1328i

−1.3582 − 0.218i

−0.4377 − 0.8492i

−0.4503 − 0.8438i

w60

111100

−1.0652 − 0.8657i

−0.6339 − 0.4545i

−1.3574 − 0.2231i

−1.3596 − 0.2095i

w61

111101

−1.262 − 0.5438i

−0.7138 − 0.7632i

−0.1858 − 1.2632i

−0.1659 − 1.1736i

w62

111110

−0.6765 − 0.4967i

−0.9294 − 0.4189i

−0.9009 − 1.0396i

−0.841 − 1.0885i

w63

111111

−0.8548 − 0.3591i

−1.1995 − 0.6617i

−0.5564 − 1.2461i

−0.5064 − 1.2593i

or group C3:

bit

R = ½ (or ⅝

R = ⅝ (or ½

R = ¾ (or ½

R = 13/16 (or ½

label

or ¾ or 13/16)

or ⅝ or 13/16)

or ⅝ or ¾)

000000

1.0569 + 0.7089i

0.8757 + 0.9247i

0.937 + 0.8841i

1.1723 + 0.5141i

000001

1.0841 + 0.6678i

1.045 + 0.728i

1.1063 + 0.6601i

0.1476 + 0.5364i

000010

0.819 + 0.9734i

0.7024 + 1.0623i

0.7126 + 1.0729i

0.7669 + 0.4573i

000011

0.7389 + 0.713i

0.6854 + 0.6748i

0.649 + 0.7077i

0.4449 + 0.4829i

000100

1.2554 + 0.2142i

1.2615 + 0.1746i

1.2781 + 0.1604i

1.004 + 0.174i

000101

1.2348 + 0.3103i

1.1831 + 0.4706i

1.0791 + 0.3764i

0.1371 + 0.1864i

000110

0.7562 + 0.1721i

0.8301 + 0.1381i

0.7714 + 0.1301i

0.7139 + 0.1521i

000111

0.7451 + 0.3181i

0.7748 + 0.3978i

0.7335 + 0.4268i

0.4208 + 0.1616i

001000

0.2187 + 1.2529i

0.1636 + 1.263i

0.1553 + 1.2788i

1.0216 + 0.771i

001001

0.1608 + 0.8472i

0.1378 + 0.8233i

0.1327 + 0.8728i

0.1431 + 0.9083i

w10

001010

0.5502 + 1.1466i

0.446 + 1.1929i

0.4463 + 1.2084i

0.7237 + 0.7521i

w11

001011

0.4217 + 0.7827i

0.3922 + 0.7613i

0.3935 + 0.8156i

0.4251 + 0.8248i

w12

001100

0.1479 + 0.17i

0.1453 + 0.1451i

0.1358 + 0.1626i

1.2711 + 0.1575i

w13

001101

0.1574 + 0.4709i

0.1295 + 0.4429i

0.1371 + 0.5004i

0.162 + 1.2706i

w14

001110

0.3867 + 0.1695i

0.4504 + 0.1426i

0.427 + 0.1484i

0.7403 + 1.045i

w15

001111

0.3923 + 0.4332i

0.4124 + 0.4207i

0.406 + 0.4481i

0.4693 + 1.1917i

w16

010000

1.0569 − 0.7089i

0.8757 − 0.9247i

0.937 − 0.8841i

1.1723 − 0.5141i

w17

010001

1.0841 − 0.6678i

1.045 − 0.728i

1.1063 − 0.6601i

0.1476 − 0.5364i

w18

010010

0.819 − 0.9734i

0.7024 − 1.0623i

0.7126 − 1.0729i

0.7669 − 0.4573i

w19

010011

0.7389 − 0.713i

0.6854 − 0.6748i

0.649 − 0.7077i

0.4449 − 0.4829i

w20

010100

1.2554 − 0.2142i

1.2615 − 0.1746i

1.2781 − 0.1604i

1.004 − 0.174i

w21

010101

1.2348 − 0.3103i

1.1831 − 0.4706i

1.0791 − 0.3764i

0.1371 − 0.1864i

w22

010110

0.7562 − 0.1721i

0.8301 − 0.1381i

0.7714 − 0.1301i

0.7139 − 0.1521i

w23

010111

0.7451 − 0.3181i

0.7748 − 0.3978i

0.7335 − 0.4268i

0.4208 − 0.1616i

w24

011000

0.2187 − 1.2529i

0.1636 − 1.263i

0.1553 − 1.2788i

1.0216 − 0.771i

w25

011001

0.1608 − 0.8472i

0.1378 − 0.8233i

0.1327 − 0.8728i

0.1431 − 0.9083i

w26

011010

0.5502 − 1.1466i

0.446 − 1.1929i

0.4463 − 1.2084i

0.7237 − 0.7521i

w27

011011

0.4217 − 0.7827i

0.3922 − 0.7613i

0.3935 − 0.8156i

0.4251 − 0.8248i

w28

011100

0.1479 − 0.17i

0.1453 − 0.1451i

0.1358 − 0.1626i

1.2711 − 0.1575i

w29

011101

0.1574 − 0.4709i

0.1295 − 0.4429i

0.1371 − 0.5004i

0.162 − 1.2706i

w30

011110

0.3867 − 0.1695i

0.4504 − 0.1426i

0.427 − 0.1484i

0.7403 − 1.045i

w31

011111

0.3923 − 0.4332i

0.4124 − 0.4207i

0.406 − 0.4481i

0.4693 − 1.1917i

w32

100000

−1.0569 + 0.7089i

−0.8757 + 0.9247i

−0.937 + 0.8841i

−1.1723 + 0.5141i

w33

100001

−1.0841 + 0.6678i

−1.045 + 0.728i

−1.1063 + 0.6601i

−0.1476 + 0.5364i

w34

100010

−0.819 + 0.9734i

−0.7024 + 1.0623i

−0.7126 + 1.0729i

−0.7669 + 0.4573i

w35

100011

−0.7389 + 0.713i

−0.6854 + 0.6748i

−0.649 + 0.7077i

−0.4449 + 0.4829i

w36

100100

−1.2554 + 0.2142i

−1.2615 + 0.1746i

−1.2781 + 0.1604i

−1.004 + 0.174i

w37

100101

−1.2348 + 0.3103i

−1.1831 + 0.4706i

−1.0791 + 0.3764i

−0.1371 + 0.1864i

w38

100110

−0.7562 + 0.1721i

−0.8301 + 0.1381i

−0.7714 + 0.1301i

−0.7139 + 0.1521i

w39

100111

−0.7451 + 0.3181i

−0.7748 + 0.3978i

−0.7335 + 0.4268i

−0.4208 + 0.1616i

w40

101000

−0.2187 + 1.2529i

−0.1636 + 1.263i

−0.1553 + 1.2788i

−1.0216 + 0.771i

w41

101001

−0.1608 + 0.8472i

−0.1378 + 0.8233i

−0.1327 + 0.8728i

−0.1431 + 0.9083i

w42

101010

−0.5502 + 1.1466i

−0.446 + 1.1929i

−0.4463 + 1.2084i

−0.7237 + 0.7521i

w43

101011

−0.4217 + 0.7827i

−0.3922 + 0.7613i

−0.3935 + 0.8156i

−0.4251 + 0.8248i

w44

101100

−0.1479 + 0.17i

−0.1453 + 0.1451i

−0.1358 + 0.1626i

−1.2711 + 0.1575i

w45

101101

−0.1574 + 0.4709i

−0.1295 + 0.4429i

−0.1371 + 0.5004i

−0.162 + 1.2706i

w46

101110

−0.3867 + 0.1695i

−0.4504 + 0.1426i

−0.427 + 0.1484i

−0.7403 + 1.045i

w47

101111

−0.3923 + 0.4332i

−0.4124 + 0.4207i

−0.406 + 0.4481i

−0.4693 + 1.1917i

w48

110000

−1.0569 − 0.7089i

−0.8757 − 0.9247i

−0.937 − 0.8841i

−1.1723 − 0.5141i

w49

110001

−1.0841 − 0.6678i

−1.045 − 0.728i

−1.1063 − 0.6601i

−0.1476 − 0.5364i

w50

110010

−0.819 − 0.9734i

−0.7024 − 1.0623i

−0.7126 − 1.0729i

−0.7669 − 0.4573i

w51

110011

−0.7389 − 0.713i

−0.6854 − 0.6748i

−0.649 − 0.7077i

−0.4449 − 0.4829i

w52

110100

−1.2554 − 0.2142i

−1.2615 − 0.1746i

−1.2781 − 0.1604i

−1.004 − 0.174i

w53

110101

−1.2348 − 0.3103i

−1.1831 − 0.4706i

−1.0791 − 0.3764i

−0.1371 − 0.1864i

w54

110110

−0.7562 − 0.1721i

−0.8301 − 0.1381i

−0.7714 − 0.1301i

−0.7139 − 0.1521i

w55

110111

−0.7451 − 0.3181i

−0.7748 − 0.3978i

−0.7335 − 0.4268i

−0.4208 − 0.1616i

w56

111000

−0.2187 − 1.2529i

−0.1636 − 1.263i

−0.1553 − 1.2788i

−1.0216 − 0.771i

w57

111001

−0.1608 − 0.8472i

−0.1378 − 0.8233i

−0.1327 − 0.8728i

−0.1431 − 0.9083i

w58

111010

−0.5502 − 1.1466i

−0.446 − 1.1929i

−0.4463 − 1.2084i

−0.7237 − 0.7521i

w59

111011

−0.4217 − 0.7827i

−0.3922 − 0.7613i

−0.3935 − 0.8156i

−0.4251 − 0.8248i

w60

111100

−0.1479 − 0.17i

−0.1453 − 0.1451i

−0.1358 − 0.1626i

−1.2711 − 0.1575i

w61

111101

−0.1574 − 0.4709i

−0.1295 − 0.4429i

−0.1371 − 0.5004i

−0.162 − 1.2706i

w62

111110

−0.3867 − 0.1695i

−0.4504 − 0.1426i

−0.427 − 0.1484i

−0.7403 − 1.045i

w63

111111

−0.3923 − 0.4332i

−0.4124 − 0.4207i

−0.406 − 0.4481i

−0.4693 − 1.1917i

wherein the bit labeling indicated in groups A, B and C may alternatively be inverted for one or more bit labels.

17. A receiving apparatus comprising:

a receiver configured to receive one or more transmission streams, a deconverter configured to deconvert one or more transmission streams into said constellation values,

a communication interface configured to transmit receiver signalling information to a transmission apparatus with which the receiving apparatus seeks to communicate, said receiver signalling information including one or more of a) the total number N of constellation points and the code rate R of a constellation to be used, b) an indication of the constellation to be used, c) constellation points of a constellation to be used, d) channel conditions of a communications channel between the receiving apparatus and a transmission apparatus with which the receiving apparatus seeks to communicate and e) PHY impairments at the receiving apparatus, and

a demodulation and decoding apparatus as claimed in claim 15 configured to demodulate and decode said constellation values into output data.

18. A communications system comprising:

one or more transmission apparatus as claimed in claim 4 ; and

one or more receiving apparatus comprising:

a receiver configured to receive one or more transmission streams,

a deconverter configured to deconvert one or more transmission streams into said constellation values, and

Assignments (1)

ASSIGNMENT OF ASSIGNOR'S INTEREST Recorded Aug 13, 2020

From: EITEL, BEN; SCHNEIDER, DANIEL; LOGHIN, NABIL; HANDTE, THOMAS

To: SONY CORPORATION

Reel/Frame 053482/0852 →

Priority Claims (1)

EP 15176027 · Jul 9, 2015 · regional

Continuity (1)

Related Publication 20200228234A1 · Jul 16, 2020