IP Library › Granted Patent US 9,813,279

Granted Patent B2

US 9,813,279 · App. 15/340,672 · Granted Nov 7, 2017

Coding and modulation apparatus using non-uniform constellation

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Quick Facts

Patent No.: US 9,813,279
App. No.: 15/340,672
Granted: Nov 7, 2017
Kind: B2

External Links

USPTO Patent Center↗ Full Patent PDF↗

Abstract

A coding and modulation apparatus and method are presented. The apparatus comprises an encoder that encodes input data into cell words, and a modulator that modulates said cell words into constellation values of a non-uniform constellation. The modulator is configured to use, based on the total number M of constellation points of the constellation and the code rate, a non-uniform constellation from one or several groups of constellations each comprising one or more constellations.

Claims (3120)

1. A coding and modulation apparatus, comprising:

encoder circuitry configured to encode input data into cell words; and

modulator circuitry configured to modulate said cell words into constellation values of a non-uniform constellation, wherein

said modulator circuitry is configured to use the following non-uniform constellation having the total number M=16 constellation points of the constellation and the code rate 3/5, and

the constellation points are defined by a constellation position vector w0 . . . M-1 :

w/code rate

3/5

0.4718 + 0.2606i

−0.4718 + 0.2606i

0.4718 − 0.2606i

−0.4718 − 0.2606i

0.2606 + 0.4718i

−0.2606 + 0.4718i

0.2606 − 0.4718i

−0.2606 − 0.4718i

1.2088 + 0.4984i

−1.2088 + 0.4984i

w10

1.2088 − 0.4984i

w11

−1.2088 − 0.4984i

w12

0.4984 + 1.2088i

w13

−0.4984 + 1.2088i

w14

0.4984 − 1.2088i

w15

−0.4984 − 1.2088i

w/code rate

3/5

0.4718 + 0.2606i

0.2606 + 0.4718i

−0.4718 + 0.2606i

−0.2606 + 0.4718i

0.4718 − 0.2606i

0.2606 − 0.4718i

−0.4718 − 0.2606i

−0.2606 − 0.4718i

1.2088 + 0.4984i

0.4984 + 1.2088i

w10

−1.2088 + 0.4984i

w11

−0.4984 + 1.2088i

w12

1.2088 − 0.4984i

w13

0.4984 − 1.2088i

w14

−1.2088 − 0.4984i

w15

−0.4984 − 1.2088i.

2. A demodulation and decoding apparatus, comprising:

a demodulator that demodulates constellation values of a non-uniform constellation used by a coding and modulation apparatus as claimed in claim 1 into cell words; and

a decoder that decodes said cell words into output data.

3. A coding and modulation apparatus, comprising:

encoder circuitry configured to encode input data into cell words; and

modulator circuitry configured to modulate said cell words into constellation values of a non-uniform constellation, wherein

said modulator circuitry is configured to use the following non-uniform constellation having the total number M=16 constellation points of the constellation and the code rate 20/30, and

the constellation points are defined by a constellation position vector w0 . . . M-1 :

w/code rate

20/30

0.5061 + 0.2474i

0.2474 + 0.5061i

−0.5061 + 0.2474i

−0.2474 + 0.5061i

0.5061 + 0.2474i

0.2474 − 0.5061i

−0.5061 − 0.2474i

−0.2474 − 0.5061i

1.2007 + 0.4909i

0.4909 + 1.2007i

w10

−1.2007 + 0.4909i

w11

−0.4909 + 1.2007i

w12

1.2007 − 0.4909i

w13

0.4909 − 1.2007i

w14

−1.2007 − 0.4909i

w15

−0.4909 − 1.2007i.

4. The coding and modulation apparatus as claimed in claim 3 , wherein

said encoder circuitry is a low-density, parity-check (LDPC) encoding circuitry or turbo code encoder circuitry, and

said encoder circuitry performs forward error correction.

5. A transmission apparatus, comprising:

a coding and modulation apparatus as claimed in claim 3 that encodes and modulates input data into constellation values;

a converter that converts said constellation values into one or more transmission streams to be transmitted; and

a transmitter that transmits said one or more transmission streams.

6. A demodulation and decoding apparatus, comprising:

a demodulator that demodulates constellation values of a non-uniform constellation used by a coding and modulation apparatus as claimed in claim 3 into cell words; and

a decoder that decodes said cell words into output data.

7. The demodulation and decoding apparatus as claimed in claim 6 , wherein the demodulator is a satellite transmission receiver for use in a satellite communications system.

8. A receiving apparatus, comprising:

a receiver that receives one or more transmission streams;

a deconverter that deconverts the received one or more transmission streams into constellation values; and

a demodulation and decoding apparatus as claimed in claim 6 that demodulates and decodes said constellation values into output data.

9. A coding and modulation apparatus, comprising:

encoder circuitry configured to encode input data into cell words; and

modulator circuitry configured to modulate said cell words into constellation values of a non-uniform constellation, wherein

said modulator circuitry is configured to use the following non-uniform constellation having the total number M=256 constellation points of the constellation and the code rate 20/30, and

the constellation points are defined by a constellation position vector w0 . . . M-1 :

w/code rate

20/30

1.6350 + 0.1593i

1.5776 + 0.4735i

0.9430 + 0.1100i

0.9069 + 0.2829i

0.3237 + 0.0849i

0.3228 + 0.0867i

0.7502 + 0.1138i

0.7325 + 0.2088i

0.1658 + 1.6747i

0.4907 + 1.6084i

w10

0.1088 + 0.9530i

w11

0.2464 + 0.9270i

w12

0.0872 + 0.1390i

w13

0.0871 + 0.1392i

w14

0.1091 + 0.7656i

w15

0.1699 + 0.7537i

w16

−1.6350 + 0.1593i

w17

−1.5776 + 0.4735i

w18

−0.9430 + 0.1100i

w19

−0.9069 + 0.2829i

w20

−0.3237 + 0.0849i

w21

−0.3228 + 0.0867i

w22

−0.7502 + 0.1138i

w23

−0.7325 + 0.2088i

w24

−0.1658 + 1.6747i

w25

−0.4907 + 1.6084i

w26

−0.1088 + 0.9530i

w27

−0.2464 + 0.9270i

w28

−0.0872 + 0.1390i

w29

−0.0871 + 0.1392i

w30

−0.1091 + 0.7656i

w31

−0.1699 + 0.7537i

w32

1.3225 + 0.1320i

w33

1.2742 + 0.3922i

w34

1.0854 + 0.1139i

w35

1.0441 + 0.3296i

w36

0.4582 + 0.1123i

w37

0.4545 + 0.1251i

w38

0.6473 + 0.1138i

w39

0.6339 + 0.1702i

w40

0.1322 + 1.3631i

w41

0.3929 + 1.3102i

w42

0.1124 + 1.1327i

w43

0.3160 + 1.0913i

w44

0.0928 + 0.3970i

w45

0.0937 + 0.3973i

w46

0.1054 + 0.5979i

w47

0.1230 + 0.5949i

w48

−1.3225 + 0.1320i

w49

−1.2742 + 0.3922i

w50

−1.0854 + 0.1139i

w51

−1.0441 + 0.3296i

w52

−0.4582 + 0.1123i

w53

−0.4545 + 0.1251i

w54

−0.6473 + 0.1138i

w55

−0.6339 + 0.1702i

w56

−0.1322 + 1.3631i

w57

−0.3929 + 1.3102i

w58

−0.1124 + 1.1327i

w59

−0.3160 + 1.0913i

w60

−0.0928 + 0.3970i

w61

−0.0937 + 0.3973i

w62

−0.1054 + 0.5979i

w63

−0.1230 + 0.5949i

w64

1.6350 − 0.1593i

w65

1.5776 − 0.4735i

w66

0.9430 − 0.1100i

w67

0.9069 − 0.2829i

w68

0.3237 − 0.0849i

w69

0.3228 − 0.0867i

w70

0.7502 − 0.1138i

w71

0.7325 − 0.2088i

w72

0.1658 − 1.6747i

w73

0.4907 − 1.6084i

w74

0.1088 − 0.9530i

w75

0.2464 − 0.9270i

w76

0.0872 − 0.1390i

w77

0.0871 − 0.1392i

w78

0.1091 − 0.7656i

w79

0.1699 − 0.7537i

w80

−1.6350 − 0.1593i

w81

−1.5776 − 0.4735i

w82

−0.9430 − 0.1100i

w83

−0.9069 − 0.2829i

w84

−0.3237 − 0.0849i

w85

−0.3228 − 0.0867i

w86

−0.7502 − 0.1138i

w87

−0.7325 − 0.2088i

w88

−0.1658 − 1.6747i

w89

−0.4907 − 1.6084i

w90

−0.1088 − 0.9530i

w91

−0.2464 − 0.9270i

w92

−0.0872 − 0.1390i

w93

−0.0871 − 0.1392i

w94

−0.1091 − 0.7656i

w95

−0.1699 − 0.7537i

w96

1.3225 − 0.1320i

w97

1.2742 − 0.3922i

w98

1.0854 − 0.1139i

w99

1.0441 − 0.3296i

w100

0.4582 − 0.1123i

w101

0.4545 − 0.1251i

w102

0.6473 − 0.1138i

w103

0.6339 − 0.1702i

w104

0.1322 − 1.3631i

w105

0.3929 − 1.3102i

w106

0.1124 − 1.1327i

w107

0.3160 − 1.0913i

w108

0.0928 − 0.3970i

w109

0.0937 − 0.3973i

w110

0.1054 − 0.5979i

wi11

0.1230 − 0.5949i

w112

−1.3225 − 0.1320i

w113

−1.2742 − 0.3922i

w114

−1.0854 − 0.1139i

w115

−1.0441 − 0.3296i

w116

−0.4582 − 0.1123i

w117

−0.4545 − 0.1251i

w118

−0.6473 − 0.1138i

w119

−0.6339 − 0.1702i

w120

−0.1322 − 1.3631i

w121

−0.3929 − 1.3102i

w122

−0.1124 − 1.1327i

w123

−0.3160 − 1.0913i

w124

−0.0928 − 0.3970i

w125

−0.0937 − 0.3973i

w126

−0.1054 − 0.5979i

w127

−0.1230 − 0.5949i

w128

1.2901 + 1.0495i

w129

1.4625 + 0.7740i

w130

0.7273 + 0.6160i

w131

0.8177 + 0.4841i

w132

0.2844 + 0.1296i

w133

0.2853 + 0.1309i

w134

0.5902 + 0.4857i

w135

0.6355 + 0.4185i

w136

1.0646 + 1.2876i

w137

0.7949 + 1.4772i

w138

0.5707 + 0.7662i

w139

0.4490 + 0.8461i

w140

0.1053 + 0.1494i

w141

0.1052 + 0.1495i

w142

0.4294 + 0.6363i

w143

0.3744 + 0.6744i

w144

−1.2901 + 1.0495i

w145

−1.4625 + 0.7740i

w146

−0.7273 + 0.6160i

w147

−0.8177 + 0.4841i

w148

−0.2844 + 0.1296i

w149

−0.2853 + 0.1309i

w150

−0.5902 + 0.4857i

w151

−0.6355 + 0.4185i

w152

−1.0646 + 1.2876i

w153

−0.7949 + 1.4772i

w154

−0.5707 + 0.7662i

w155

−0.4490 + 0.8461i

w156

−0.1053 + 0.1494i

w157

−0.1052 + 0.1495i

w158

−0.4294 + 0.6363i

w159

−0.3744 + 0.6744i

w160

1.0382 + 0.8623i

w161

1.1794 + 0.6376i

w162

0.8504 + 0.7217i

w163

0.9638 + 0.5407i

w164

0.3734 + 0.2560i

w165

0.3799 + 0.2517i

w166

0.4968 + 0.3947i

w167

0.5231 + 0.3644i

w168

0.8555 + 1.0542i

w169

0.6363 + 1.2064i

w170

0.6961 + 0.8850i

w171

0.5229 + 1.0037i

w172

0.1938 + 0.3621i

w173

0.1909 + 0.3627i

w174

0.3224 + 0.5236i

w175

0.3016 + 0.5347i

w176

−1.0382 + 0.8623i

w177

−1.1794 + 0.6376i

w178

−0.8504 + 0.7217i

w179

−0.9638 + 0.5407i

w180

−0.3734 + 0.2560i

w181

−0.3799 + 0.2517i

w182

−0.4968 + 0.3947i

w183

−0.5231 + 0.3644i

w184

−0.8555 + 1.0542i

w185

−0.6363 + 1.2064i

w186

−0.6961 + 0.8850i

w187

−0.5229 + 1.0037i

w188

−0.1938 + 0.3621i

w189

−0.1909 + 0.3627i

w190

−0.3224 + 0.5236i

w191

−0.3016 + 0.5347i

w192

1.2901 − 1.0495i

w193

1.4625 − 0.7740i

w194

0.7273 − 0.6160i

w195

0.8177 − 0.4841i

w196

0.2844 − 0.1296i

w197

0.2853 − 0.1309i

w198

0.5902 − 0.4857i

w199

0.6355 − 0.4185i

w200

1.0646 − 1.2876i

w201

0.7949 − 1.4772i

w202

0.5707 − 0.7662i

w203

0.4490 − 0.8461i

w204

0.1053 − 0.1494i

w205

0.1052 − 0.1495i

w206

0.4294 − 0.6363i

w207

0.3744 − 0.6744i

w208

−1.2901 − 1.0495i

w209

−1.4625 − 0.7740i

w210

−0.7273 − 0.6160i

w211

−0.8177 − 0.4841i

w212

−0.2844 − 0.1296i

w213

−0.2853 − 0.1309i

w214

−0.5902 − 0.4857i

w215

−0.6355 − 0.4185i

w216

−1.0646 − 1.2876i

w217

−0.7949 − 1.4772i

w218

−0.5707 − 0.7662i

w219

−0.4490 − 0.8461i

w220

−0.1053 − 0.1494i

w221

−0.1052 − 0.1495i

w222

−0.4294 − 0.6363i

w223

−0.3744 − 0.6744i

w224

1.0382 − 0.8623i

w225

1.1794 − 0.6376i

w226

0.8504 − 0.7217i

w227

0.9638 − 0.5407i

w228

0.3734 − 0.2560i

w229

0.3799 − 0.2517i

w230

0.4968 − 0.3947i

w231

0.5231 − 0.3644i

w232

0.8555 − 1.0542i

w233

0.6363 − 1.2064i

w234

0.6961 − 0.8850i

w235

0.5229 − 1.0037i

w236

0.1938 − 0.3621i

w237

0.1909 − 0.3627i

w238

0.3224 − 0.5236i

w239

0.3016 − 0.5347i

w240

−1.0382 − 0.8623i

w241

−1.1794 − 0.6376i

w242

−0.8504 − 0.7217i

w243

−0.9638 − 0.5407i

w244

−0.3734 − 0.2560i

w245

−0.3799 − 0.2517i

w246

−0.4968 − 0.3947i

w247

−0.5231 − 0.3644i

w248

−0.8555 − 1.0542i

w249

−0.6363 − 1.2064i

w250

−0.6961 − 0.8850i

w251

−0.5229 − 1.0037i

w252

−0.1938 − 0.3621i

w253

−0.1909 − 0.3627i

w254

−0.3224 − 0.5236i

w255

−0.3016 − 0.5347i.

10. A demodulation and decoding apparatus, comprising:

a demodulator that demodulates constellation values of a non-uniform constellation used by a coding and modulation apparatus as claimed in claim 9 into cell words; and

a decoder that decodes said cell words into output data.

11. A coding and modulation apparatus, comprising:

encoder circuitry configured to encode input data into cell words; and

modulator circuitry configured to modulate said cell words into constellation values of a non-uniform constellation, wherein

said modulator circuitry is configured to use the following non-uniform constellation having the total number M=256 constellation points of the constellation and the code rate 22/30, and

the constellation points are defined by a constellation position vector w0 . . . M-1 :

w/code rate

22/30

1.5977 + 0.1526i

1.3187 + 0.1269i

−1.5977 + 0.1526i

−1.3187 + 0.1269i

0.2574 + 0.0733i

0.4496 + 0.0807i

−0.2574 + 0.0733i

−0.4496 + 0.0807i

1.5977 − 0.1526i

1.3187 − 0.1269i

w10

−1.5977 − 0.1526i

w11

−1.3187 − 0.1269i

w12

0.2574 − 0.0733i

w13

0.4496 − 0.0807i

w14

−0.2574 − 0.0733i

w15

−0.4496 − 0.0807i

w16

0.9269 + 0.0943i

w17

1.1024 + 0.1086i

w18

−0.9269 + 0.0943i

w19

−1.1024+ 0.1086i

w20

0.7663 + 0.0867i

w21

0.6115 + 0.0871i

w22

−0.7663 + 0.0867i

w23

−0.6115 + 0.0871i

w24

0.9269 − 0.0943i

w25

1.1024 − 0.1086i

w26

−0.9269 − 0.0943i

w27

−1.1024 − 0.1086i

w28

0.7663 − 0.0867i

w29

0.6115 − 0.0871i

w30

−0.7663 − 0.0867i

w31

−0.6115 − 0.0871i

w32

1.2701 + 1.0139i

w33

1.0525 + 0.8406i

w34

−1.2701 + 1.0139i

w35

−1.0525 + 0.8406i

w36

0.2487 + 0.1978i

w37

0.3523 + 0.2915i

w38

−0.2487 + 0.1978i

w39

−0.3523 + 0.2915i

w40

1.2701 − 1.0139i

w41

1.0525 − 0.8406i

w42

−1.2701 − 1.0139i

w43

−1.0525 − 0.8406i

w44

0.2487 − 0.1978i

w45

0.3523 − 0.2915i

w46

−0.2487 − 0.1978i

w47

−0.3523 − 0.2915i

w48

0.7359 + 0.6043i

w49

0.8807 + 0.7105i

w50

−0.7359 + 0.6043i

w51

−0.8807 + 0.7105i

w52

0.6017 + 0.5019i

w53

0.4747 + 0.3996i

w54

−0.6017 + 0.5019i

w55

−0.4747 + 0.3996i

w56

0.7359 − 0.6043i

w57

0.8807 − 0.7105i

w58

−0.7359 − 0.6043i

w59

−0.8807 − 0.7105i

w60

0.6017 − 0.5019i

w61

0.4747 − 0.3996i

w62

−0.6017 − 0.5019i

w63

−0.4747 − 0.3996i

w64

1.5441 + 0.4545i

w65

1.2750 + 0.3775i

w66

−1.5441 + 0.4545i

w67

−1.2750 + 0.3775i

w68

0.2586 + 0.0752i

w69

0.4435 + 0.1065i

w70

−0.2586 + 0.0752i

w71

−0.4435 + 0.1065i

w72

1.5441 − 0.4545i

w73

1.2750 − 0.3775i

w74

−1.5441 − 0.4545i

w75

−1.2750 − 0.3775i

w76

0.2586 − 0.0752i

w77

0.4435 − 0.1065i

w78

−0.2586 − 0.0752i

w79

−0.4435 − 0.1065i

w80

0.8925 + 0.2771i

w81

1.0649 + 0.3219i

w82

−0.8925 + 0.2771i

w83

−1.0649 + 0.3219i

w84

0.7362 + 0.2279i

w85

0.5936 + 0.1699i

w86

−0.7362 + 0.2279i

w87

−0.5936 + 0.1699i

w88

0.8925 − 0.2771i

w89

1.0649 − 0.3219i

w90

−0.8925 − 0.2771i

w91

−1.0649 − 0.3219i

w92

0.7362 − 0.2279i

w93

0.5936 − 0.1699i

w94

−0.7362 − 0.2279i

w95

−0.5936 − 0.1699i

w96

1.4352 + 0.7452i

w97

1.1866 + 0.6182i

w98

−1.4352 + 0.7452i

w99

−1.1866 + 0.6182i

w100

0.2523 + 0.1944i

w101

0.3695 + 0.2695i

w102

−0.2523 + 0.1944i

w103

−0.3695 + 0.2695i

w104

1.4352 − 0.7452i

w105

1.1866 − 0.6182i

w106

−1.4352 − 0.7452i

w107

−1.1866 − 0.6182i

w108

0.2523 − 0.1944i

w109

0.3695 − 0.2695i

w110

−0.2523 − 0.1944i

w111

−0.3695 − 0.2695i

w112

0.8273 + 0.4493i

w113

0.9911 + 0.5243i

w114

−0.8273 + 0.4493i

w115

−0.9911 − 0.5243i

w116

0.6708 + 0.3859i

w117

0.5197 + 0.3331i

w118

−0.6708 + 0.3859i

w119

−0.5197 + 0.3331i

w120

0.8273 − 0.4493i

w121

0.9911 − 0.5243i

w122

−0.8273 − 0.4493i

w123

−0.9911 − 0.5243i

w124

0.6708 − 0.3859i

w125

0.5197 − 0.3331i

w126

−0.6708 − 0.3859i

w127

−0.5197 − 0.3331i

w128

0.1646 + 1.6329i

w129

0.1379 + 1.3595i

w130

−0.1646 + 1.6329i

w131

−0.1379 + 1.3595i

w132

0.0736 + 0.0898i

w133

0.0742 + 0.5054i

w134

−0.0736 + 0.0898i

w135

−0.0742 + 0.5054i

w136

0.1646 − 1.6329i

w137

0.1379 − 1.3595i

w138

−0.1646 − 1.6329i

w139

−0.1379 − 1.3595i

w140

0.0736 − 0.0898i

w141

0.0742 − 0.5054i

w142

−0.0736 − 0.0898i

w143

−0.0742 − 0.5054i

w144

0.0992 + 0.9847i

w145

0.1170 + 1.1517i

w146

−0.0992 + 0.9847i

w147

−0.1170 + 1.1517i

w148

0.0894 + 0.8287i

w149

0.0889 + 0.6739i

w150

−0.0894 + 0.8287i

w151

−0.0889 + 0.6739i

w152

0.0992 − 0.9847i

w153

0.1170 − 1.1517i

w154

−0.0992 − 0.9847i

w155

−0.1170 − 1.1517i

w156

0.0894 − 0.8287i

w157

0.0889 − 0.6739i

w158

−0.0894 − 0.8287i

w159

−0.0889 − 0.6739i

w160

1.0516 + 1.2481i

w161

0.8742 + 1.0355i

w162

−1.0516 + 1.2481i

w163

−0.8742 + 1.0355i

w164

0.0970 + 0.2450i

w165

0.1959 + 0.4045i

w166

−0.0970 + 0.2450i

w167

−0.1959 + 0.4045i

w168

1.0516 − 1.2481i

w169

0.8742 − 1.0355i

w170

−1.0516 − 1.2481i

w171

−0.8742 − 1.0355i

w172

0.0970 − 0.2450i

w173

0.1959 − 0.4045i

w174

−0.0970 − 0.2450i

w175

−0.1959 − 0.4045i

w176

0.6150 + 0.7441i

w177

0.7345 + 0.8743i

w178

−0.6150 + 0.7441i

w179

−0.7345 + 0.8743i

w180

0.4932 + 0.6301i

w181

0.3620 + 0.5258i

w182

−0.4932 + 0.6301i

w183

−0.3620 + 0.5258i

w184

0.6150 − 0.7441i

w185

0.7345 − 0.8743i

w186

−0.6150 − 0.7441i

w187

−0.7345 − 0.8743i

w188

0.4932 − 0.6301i

w189

0.3620 − 0.5258i

w190

−0.4932 − 0.6301i

w191

−0.3620 − 0.5258i

w192

0.4866 + 1.5660i

w193

0.4068 + 1.3027i

w194

−0.4866 + 1.5660i

w195

−0.4068 + 1.3027i

w196

0.0732 + 0.0899i

w197

0.0877 + 0.4997i

w198

−0.0732 + 0.0899i

w199

−0.0877 + 0.4997i

w200

0.4866 − 1.5660i

w201

0.4068 − 1.3027i

w202

−0.4866 − 1.5660i

w203

−0.4068 − 1.3027i

w204

0.0732 − 0.0899i

w205

0.0877 − 0.4997i

w206

−0.0732 − 0.0899i

w207

−0.0877 − 0.4997i

w208

0.2927 + 0.9409i

w209

0.3446 + 1.1023i

w210

−0.2927 + 0.9409i

w211

−0.3446 + 1.1023i

w212

0.2350 + 0.7945i

w213

0.1670 + 0.6529i

w214

−0.2350 + 0.7945i

w215

−0.1670 + 0.6529i

w216

0.2927 − 0.9409i

w217

0.3446 − 1.1023i

w218

−0.2927 − 0.9409i

w219

−0.3446 − 1.1023i

w220

0.2350 − 0.7945i

w221

0.1670 − 0.6529i

w222

−0.2350 − 0.7945i

w223

−0.1670 − 0.6529i

w224

0.7867 + 1.4356i

w225

0.6561 + 1.1927i

w226

−0.7867 + 1.4356i

w227

−0.6561 + 1.1927i

w228

0.0947 + 0.2451i

w229

0.1865 + 0.4121i

w230

−0.0947 + 0.2451i

w231

−0.1865 + 0.4121i

w232

0.7867 − 1.4356i

w233

0.6561 − 1.1927i

w234

−0.7867 − 1.4356i

w235

−0.6561 − 1.1927i

w236

0.0947 − 0.2451i

w237

0.1865 − 0.4121i

w238

−0.0947 − 0.2451i

w239

−0.1865 − 0.4121i

w240

0.4677 + 0.8579i

w241

0.5537 + 1.0081i

w242

−0.4677 + 0.8579i

w243

−0.5537 + 1.0081i

w244

0.3893 + 0.7143i

w245

0.3110 + 0.5686i

w246

−0.3893 + 0.7143i

w247

−0.3110 + 0.5686i

w248

0.4677 − 0.8579i

w249

0.5537 − 1.0081i

w250

−0.4677 − 0.8579i

w251

−0.5537 − 1.0081i

w252

0.3893 − 0.7143i

w253

0.3110 − 0.5686i

w254

−0.3893 − 0.7143i

w255

−0.3110 − 0.5686i.

12. A demodulation and decoding apparatus, comprising:

a demodulator that demodulates constellation values of a non-uniform constellation used by a coding and modulation apparatus as claimed in claim 11 into cell words; and

a decoder that decodes said cell words into output data.

13. A coding and modulation method, comprising:

encoding input data into cell words; and

modulating, by circuitry, said cell words into constellation values of a non-uniform constellation, wherein

said modulating uses the following non-uniform constellation having the total number M=16 constellation points of the constellation and the code rate 3/5, and

the constellation points are defined by a constellation position vector w0 . . . M-1 :

w/code rate

3/5

0.4718 + 0.2606i

−0.4718 + 0.2606i

0.4718 − 0.2606i

−0.4718 − 0.2606i

0.2606 + 0.4718i

−0.2606 + 0.4718i

0.2606 − 0.4718i

−0.2606 − 0.4718i

1.2088 + 0.4984i

−1.2088 + 0.4984i

w10

1.2088 − 0.4984i

w11

−1.2088 − 0.4984i

w12

0.4984 + 1.2088i

w13

−0.4984 + 1.2088i

w14

0.4984 − 1.2088i

w15

−0.4984 − 1.2088i

w/code rate

3/5

0.4718 + 0.2606i

0.2606 + 0.4718i

−0.4718 + 0.2606i

−0.2606 + 0.4718i

0.4718 − 0.2606i

0.2606 − 0.4718i

−0.4718 − 0.2606i

−0.2606 − 0.4718i

1.2088 + 0.4984i

0.4984 + 1.2088i

w10

−1.2088 + 0.4984i

w11

−0.4984 + 1.2088i

w12

1.2088 − 0.4984i

w13

0.4984 − 1.2088i

w14

−1.2088 − 0.4984i

w15

−0.4984 − 1.2088i.

14. A coding and modulation method, comprising:

encoding input data into cell words; and

modulating, by circuitry, said cell words into constellation values of a non-uniform constellation, wherein

said modulating uses the following non-uniform constellation having the total number M=16 constellation points of the constellation and the code rate 20/30, and

the constellation points are defined by a constellation position vector w0 . . . M-1 :

w/code rate

20/30

0.5061 + 0.2474i

0.2474 + 0.5061i

−0.5061 + 0.2474i

−0.2474 + 0.5061i

0.5061 − 0.2474i

0.2474 − 0.5061i

−0.5061 − 0.2474i

−0.2474 − 0.5061i

1.2007 + 0.4909i

0.4909 + 1.2007i

w10

−1.2007 + 0.4909i

w11

−0.4909 + 1.2007i

w12

1.2007 − 0.4909i

w13

0.4909 − 1.2007i

w14

−1.2007 − 0.4909i

w15

−0.4909 − 1.2007i.

15. A transmission method, comprising:

a coding and modulation method as claimed in claim 14 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.

16. A demodulation and decoding method, comprising:

demodulating constellation values of a non-uniform constellation used by a coding and modulation method as claimed in claim 14 into cell words; and

decoding said cell words into output data.

17. A receiving method, comprising:

receiving one or more transmission streams;

deconverting the received one or more transmission streams into constellation values; and

a demodulation and decoding method as claimed in claim 16 that demodulates and decodes said constellation values into output data.

18. A coding and modulation method, comprising:

encoding input data into cell words; and

modulating, by circuitry, said cell words into constellation values of a non-uniform constellation, wherein

said modulating uses the following non-uniform constellation having the total number M=256 constellation points of the constellation and the code rate 20/30, and

the constellation points are defined by a constellation position vector w0 . . . M-1 :

w/code rate

20/30

1.6350 + 0.1593i

1.5776 + 0.4735i

0.9430 + 0.1100i

0.9069 + 0.2829i

0.3237 + 0.0849i

0.3228 + 0.0867i

0.7502 + 0.1138i

0.7325 + 0.2088i

0.1658 + 1.6747i

0.4907 + 1.6084i

w10

0.1088 + 0.9530i

w11

0.2464 + 0.9270i

w12

0.0872 + 0.1390i

w13

0.0871 + 0.1392i

w14

0.1091 + 0.7656i

w15

0.1699 + 0.7537i

w16

−1.6350 + 0.1593i

w17

−1.5776 + 0.4735i

w18

−0.9430 + 0.1100i

w19

−0.9069 + 0.2829i

w20

−0.3237 + 0.0849i

w21

−0.3228 + 0.0867i

w22

−0.7502 + 0.1138i

w23

−0.7325 + 0.2088i

w24

−0.1658 + 1.6747i

w25

−0.4907 + 1.6084i

w26

−0.1088 + 0.9530i

w27

−0.2464 + 0.9270i

w28

−0.0872 + 0.1390i

w29

−0.0871 + 0.1392i

w30

−0.1091 + 0.7656i

w31

−0.1699 + 0.7537i

w32

1.3225 + 0.1320i

w33

1.2742 + 0.3922i

w34

1.0854 + 0.1139i

w35

1.0441 + 0.3296i

w36

0.4582 + 0.1123i

w37

0.4545 + 0.1251i

w38

0.6473 + 0.1138i

w39

0.6339 + 0.1702i

w40

0.1322 + 1.3631i

w41

0.3929 + 1.3102i

w42

0.1124 + 1.1327i

w43

0.3160 + 1.0913i

w44

0.0928 + 0.3970i

w45

0.0937 + 0.3973i

w46

0.1054 + 0.5979i

w47

0.1230 + 0.5949i

w48

−1.3225 + 0.1320i

w49

−1.2742 + 0.3922i

w50

−1.0854 + 0.1139i

w51

−1.0441 + 0.3296i

w52

−0.4582 + 0.1123i

w53

−0.4545 + 0.1251i

w54

−0.6473 + 0.1138i

w55

−0.6339 + 0.1702i

w56

−0.1322 + 1.3631i

w57

−0.3929 + 1.3102i

w58

−0.1124 + 1.1327i

w59

−0.3160 + 1.0913i

w60

−0.0928 + 0.3970i

w61

−0.0937 + 0.3973i

w62

−0.1054 + 0.5979i

w63

−0.1230 + 0.5949i

w64

1.6350 − 0.1593i

w65

1.5776 − 0.4735i

w66

0.9430 − 0.1100i

w67

0.9069 − 0.2829i

w68

0.3237 − 0.0849i

w69

0.3228 − 0.0867i

w70

0.7502 − 0.1138i

w71

0.7325 − 0.2088i

w72

0.1658 − 1.6747i

w73

0.4907 − 1.6084i

w74

0.1088 − 0.9530i

w75

0.2464 − 0.9270i

w76

0.0872 − 0.1390i

w77

0.0871 − 0.1392i

w78

0.1091 − 0.7656i

w79

0.1699 − 0.7537i

w80

−1.6350 − 0.1593i

w81

−1.5776 − 0.4735i

w82

−0.9430 − 0.1100i

w83

−0.9069 − 0.2829i

w84

−0.3237 − 0.0849i

w85

−0.3228 − 0.0867i

w86

−0.7502 − 0.1138i

w87

−0.7325 − 0.2088i

w88

−0.1658 − 1.6747i

w89

−0.4907 − 1.6084i

w90

−0.1088 − 0.9530i

w91

−0.2464 − 0.9270i

w92

−0.0872 − 0.1390i

w93

−0.0871 − 0.1392i

w94

−0.1091 − 0.7656i

w95

−0.1699 − 0.7537i

w96

1.3225 − 0.1320i

w97

1.2742 − 0.3922i

w98

1.0854 − 0.1139i

w99

1.0441 − 0.3296i

w100

0.4582 − 0.1123i

w101

0.4545 − 0.1251i

w102

0.6473 − 0.1138i

w103

0.6339 − 0.1702i

w104

0.1322 − 1.3631i

w105

0.3929 − 1.3102i

w106

0.1124 − 1.1327i

w107

0.3160 − 1.0913i

w108

0.0928 − 0.3970i

w109

0.0937 − 0.3973i

w110

0.1054 − 0.5979i

w111

0.1230 − 0.5949i

w112

−1.3225 − 0.1320i

w113

−1.2742 − 0.3922i

w114

−1.0854 − 0.1139i

w115

−1.0441 − 0.3296i

w116

−0.4582 − 0.1123i

w117

−0.4545 − 0.1251i

w118

−0.6473 − 0.1138i

w119

−0.6339 − 0.1702i

w120

−0.1322 − 1.3631i

w121

−0.3929 − 1.3102i

w122

−0.1124 − 1.1327i

w123

−0.3160 − 1.0913i

w124

−0.0928 − 0.3970i

w125

−0.0937 − 0.3973i

w126

−0.1054 − 0.5979i

w127

−0.1230 − 0.5949i

w128

1.2901 + 1.0495i

w129

1.4625 + 0.7740i

w130

0.7273 + 0.6160i

w131

0.8177 + 0.4841i

w132

0.2844 + 0.1296i

w133

0.2853 + 0.1309i

w134

0.5902 + 0.4857i

w135

0.6355 + 0.4185i

w136

1.0646 + 1.2876i

w137

0.7949 + 1.4772i

w138

0.5707 + 0.7662i

w139

0.4490 + 0.8461i

w140

0.1053 + 0.1494i

w141

0.1052 + 0.1495i

w142

0.4294 + 0.6363i

w143

0.3744 + 0.6744i

w144

−1.2901 + 1.0495i

w145

−1.4625 + 0.7740i

w146

−0.7273 + 0.6160i

w147

−0.8177 + 0.4841i

w148

−0.2844 + 0.1296i

w149

−0.2853 + 0.1309i

w150

−0.5902 + 0.4857i

w151

−0.6355 + 0.4185i

w152

−1.0646 + 1.2876i

w153

−0.7949 + 1.4772i

w154

−0.5707 + 0.7662i

w155

−0.4490 + 0.8461i

w156

−0.1053 + 0.1494i

w157

−0.1052 + 0.1495i

w158

−0.4294 + 0.6363i

w159

−0.3744 + 0.6744i

w160

1.0382 + 0.8623i

w161

1.1794 + 0.6376i

w162

0.8504 + 0.7217i

w163

0.9638 + 0.5407i

w164

0.3734 + 0.2560i

w165

0.3799 + 0.2517i

w166

0.4968 + 0.3947i

w167

0.5231 + 0.3644i

w168

0.8555 + 1.0542i

w169

0.6363 + 1.2064i

w170

0.6961 + 0.8850i

w171

0.5229 + 1.0037i

w172

0.1938 + 0.3621i

w173

0.1909 + 0.3627i

w174

0.3224 + 0.5236i

w175

0.3016 + 0.5347i

w176

−1.0382 + 0.8623i

w177

−1.1794 + 0.6376i

w178

−0.8504 + 0.7217i

w179

−0.9638 + 0.5407i

w180

−0.3734 + 0.2560i

w181

−0.3799 + 0.2517i

w182

−0.4968 + 0.3947i

w183

−0.5231 + 0.3644i

w184

−0.8555 + 1.0542i

w185

−0.6363 + 1.2064i

w186

−0.6961 + 0.8850i

w187

−0.5229 + 1.0037i

w188

−0.1938 + 0.3621i

w189

−0.1909 + 0.3627i

w190

−0.3224 + 0.5236i

w191

−0.3016 + 0.5347i

w192

1.2901 − 1.0495i

w193

1.4625 − 0.7740i

w194

0.7273 − 0.6160i

w195

0.8177 − 0.4841i

w196

0.2844 − 0.1296i

w197

0.2853 − 0.1309i

w198

0.5902 − 0.4857i

w199

0.6355 − 0.4185i

w200

1.0646 − 1.2876i

w201

0.7949 − 1.4772i

w202

0.5707 − 0.7662i

w203

0.4490 − 0.8461i

w204

0.1053 − 0.1494i

w205

0.1052 − 0.1495i

w206

0.4294 − 0.6363i

w207

0.3744 − 0.6744i

w208

−1.2901 − 1.0495i

w209

−1.4625 − 0.7740i

w210

−0.7273 − 0.6160i

w211

−0.8177 − 0.4841i

w212

−0.2844 − 0.1296i

w213

−0.2853 − 0.1309i

w214

−0.5902 − 0.4857i

w215

−0.6355 − 0.4185i

w216

−1.0646 − 1.2876i

w217

−0.7949 − 1.4772i

w218

−0.5707 − 0.7662i

w219

−0.4490 − 0.8461i

w220

−0.1053 − 0.1494i

w221

−0.1052 − 0.1495i

w222

−0.4294 − 0.6363i

w223

−0.3744 − 0.6744i

w224

1.0382 − 0.8623i

w225

1.1794 − 0.6376i

w226

0.8504 − 0.7217i

w227

0.9638 − 0.5407i

w228

0.3734 − 0.2560i

w229

0.3799 − 0.2517i

w230

0.4968 − 0.3947i

w231

0.5231 − 0.3644i

w232

0.8555 − 1.0542i

w233

0.6363 − 1.2064i

w234

0.6961 − 0.8850i

w235

0.5229 − 1.0037i

w236

0.1938 − 0.3621i

w237

0.1909 − 0.3627i

w238

0.3224 − 0.5236i

w239

0.3016 − 0.5347i

w240

−1.0382 − 0.8623i

w241

−1.1794 − 0.6376i

w242

−0.8504 − 0.7217i

w243

−0.9638 − 0.5407i

w244

−0.3734 − 0.2560i

w245

−0.3799 − 0.2517i

w246

−0.4968 − 0.3947i

w247

−0.5231 − 0.3644i

w248

−0.8555 − 1.0542i

w249

−0.6363 − 1.2064i

w250

−0.6961 − 0.8850i

w251

−0.5229 − 1.0037i

w252

−0.1938 − 0.3621i

w253

−0.1909 − 0.3627i

w254

−0.3224 − 0.5236i

w255

−0.3016 − 0.5347i.

19. A coding and modulation method, comprising:

encoding input data into cell words; and

modulating, by circuitry, said cell words into constellation values of a non-uniform constellation, wherein

said modulating uses the following non-uniform constellation having the total number M=256 constellation points of the constellation and the code rate 22/30, and

the constellation points are defined by a constellation position vector w0 . . . M-1 :

w/code rate

22/30

1.5977 + 0.1526i

1.3187 + 0.1269i

−1.5977 + 0.1526i

−1.3187 + 0.1269i

0.2574 + 0.0733i

0.4496 + 0.0807i

−0.2574 + 0.0733i

−0.4496 + 0.0807i

1.5977 − 0.1526i

1.3187 − 0.1269i

w10

−1.5977 − 0.1526i

w11

−1.3187 − 0.1269i

w12

0.2574 − 0.0733i

w13

0.4496 − 0.0807i

w14

−0.2574 − 0.0733i

w15

−0.4496 − 0.0807i

w16

0.9269 + 0.0943i

w17

1.1024 + 0.1086i

w18

−0.9269 + 0.0943i

w19

−1.1024 + 0.1086i

w20

0.7663 + 0.0867i

w21

0.6115 + 0.0871i

w22

−0.7663 + 0.0867i

w23

−0.6115 + 0.0871i

w24

0.9269 − 0.0943i

w25

1.1024 − 0.1086i

w26

−0.9269 − 0.0943i

w27

−1.1024 − 0.1086i

w28

0.7663 − 0.0867i

w29

0.6115 − 0.0871i

w30

−0.7663 − 0.0867i

w31

−0.6115 − 0.0871i

w32

1.2701 + 1.0139i

w33

1.0525 + 0.8406i

w34

−1.2701 + 1.0139i

w35

−1.0525 + 0.8406i

w36

0.2487 + 0.1978i

w37

0.3523 + 0.2915i

w38

−0.2487 + 0.1978i

w39

−0.3523 + 0.2915i

w40

1.2701 − 1.0139i

w41

1.0525 − 0.8406i

w42

−1.2701 − 1.0139i

w43

−1.0525 − 0.8406i

w44

0.2487 − 0.1978i

w45

0.3523 − 0.2915i

w46

−0.2487 − 0.1978i

w47

−0.3523 − 0.2915i

w48

0.7359 + 0.6043i

w49

0.8807 + 0.7105i

w50

−0.7359 + 0.6043i

w51

−0.8807 + 0.7105i

w52

0.6017 + 0.5019i

w53

0.4747 + 0.3996i

w54

−0.6017 + 0.5019i

w55

−0.4747 + 0.3996i

w56

0.7359 − 0.6043i

w57

0.8807 − 0.7105i

w58

−0.7359 − 0.6043i

w59

−0.8807 − 0.7105i

w60

0.6017 − 0.5019i

w61

0.4747 − 0.3996i

w62

−0.6017 − 0.5019i

w63

−0.4747 − 0.3996i

w64

1.5441 + 0.4545i

w65

1.2750 + 0.3775i

w66

−1.5441 + 0.4545i

w67

−1.2750 + 0.3775i

w68

0.2586 + 0.0752i

w69

0.4435 + 0.1065i

w70

−0.2586 + 0.0752i

w71

−0.4435 + 0.1065i

w72

1.5441 − 0.4545i

w73

1.2750 − 0.3775i

w74

−1.5441 − 0.4545i

w75

−1.2750 − 0.3775i

w76

0.2586 − 0.0752i

w77

0.4435 − 0.1065i

w78

−0.2586 − 0.0752i

w79

−0.4435 − 0.1065i

w80

0.8925 + 0.2771i

w81

1.0649 + 0.3219i

w82

−0.8925 + 0.2771i

w83

−1.0649 + 0.3219i

w84

0.7362 + 0.2279i

w85

0.5936 + 0.1699i

w86

−0.7362 + 0.2279i

w87

−0.5936 + 0.1699i

w88

0.8925 − 0.2771i

w89

1.0649 − 0.3219i

w90

−0.8925 − 0.2771i

w91

−1.0649 − 0.3219i

w92

0.7362 − 0.2279i

w93

0.5936 − 0.1699i

w94

−0.7362 − 0.2279i

w95

−0.5936 − 0.1699i

w96

1.4352 + 0.7452i

w97

1.1866 + 0.6182i

w98

−1.4352 + 0.7452i

w99

−1.1866 + 0.6182i

w100

0.2523 + 0.1944i

w101

0.3695 + 0.2695i

w102

−0.2523 + 0.1944i

w103

−0.3695 + 0.2695i

w104

1.4352 − 0.7452i

w105

1.1866 − 0.6182i

w106

−1.4352 − 0.7452i

w107

−1.1866 − 0.6182i

w108

0.2523 − 0.1944i

w109

0.3695 − 0.2695i

w110

−0.2523 − 0.1944i

w111

−0.3695 − 0.2695i

w112

0.8273 + 0.4493i

w113

0.9911 + 0.5243i

w114

−0.8273 + 0.4493i

w115

−0.9911 + 0.5243i

w116

0.6708 + 0.3859i

w117

0.5197 + 0.3331i

w118

−0.6708 + 0.3859i

w119

−0.5197 + 0.3331i

w120

0.8273 − 0.4493i

w121

0.9911 − 0.5243i

w122

−0.8273 − 0.4493i

w123

−0.9911 − 0.5243i

w124

0.6708 − 0.3859i

w125

0.5197 − 0.3331i

w126

−0.6708 − 0.3859i

w127

−0.5197 − 0.3331i

w128

0.1646 + 1.6329i

w129

0.1379 + 1.3595i

w130

−0.1646 + 1.6329i

w131

−0.1379 + 1.3595i

w132

0.0736 + 0.0898i

w133

0.0742 + 0.5054i

w134

−0.0736 + 0.0898i

w135

−0.0742 + 0.5054i

w136

0.1646 − 1.6329i

w137

0.1379 − 1.3595i

w138

−0.1646 − 1.6329i

w139

−0.1379 − 1.3595i

w140

0.0736 − 0.0898i

w141

0.0742 − 0.5054i

w142

−0.0736 − 0.0898i

w143

−0.0742 − 0.5054i

w144

0.0992 + 0.9847i

w145

0.1170 + 1.1517i

w146

−0.0992 + 0.9847i

w147

−0.1170 + 1.1517i

w148

0.0894 + 0.8287i

w149

0.0889 + 0.6739i

w150

−0.0894 + 0.8287i

w151

−0.0889 + 0.6739i

w152

0.0992 − 0.9847i

w153

0.1170 − 1.1517i

w154

−0.0992 − 0.9847i

w155

−0.1170 − 1.1517i

w156

0.0894 − 0.8287i

w157

0.0889 − 0.6739i

w158

−0.0894 − 0.8287i

w159

−0.0889 − 0.6739i

w160

1.0516 + 1.2481i

w161

0.8742 + 1.0355i

w162

−1.0516 + 1.2481i

w163

−0.8742 + 1.0355i

w164

0.0970 + 0.2450i

w165

0.1959 + 0.4045i

w166

−0.0970 + 0.2450i

w167

−0.1959 + 0.4045i

w168

1.0516 − 1.2481i

w169

0.8742 − 1.0355i

w170

−1.0516 − 1.2481i

w171

−0.8742 − 1.0355i

w172

0.0970 − 0.2450i

w173

0.1959 − 0.4045i

w174

−0.0970 − 0.2450i

w175

−0.1959 − 0.4045i

w176

0.6150 + 0.7441i

w177

0.7345 + 0.8743i

w178

−0.6150 + 0.7441i

w179

−0.7345 + 0.8743i

w180

0.4932 + 0.6301i

w181

0.3620 + 0.5258i

w182

−0.4932 + 0.6301i

w183

−0.3620 + 0.5258i

w184

0.6150 − 0.7441i

w185

0.7345 − 0.8743i

w186

−0.6150 − 0.7441i

w187

−0.7345 − 0.8743i

w188

0.4932 − 0.6301i

w189

0.3620 − 0.5258i

w190

−0.4932 − 0.6301i

w191

−0.3620 − 0.5258i

w192

0.4866 + 1.5660i

w193

0.4068 + 1.3027i

w194

−0.4866 + 1.5660i

w195

−0.4068 + 1.3027i

w196

0.0732 + 0.0899i

w197

0.0877 + 0.4997i

w198

−0.0732 + 0.0899i

w199

−0.0877 + 0.4997i

w200

0.4866 − 1.5660i

w201

0.4068 − 1.3027i

w202

−0.4866 − 1.5660i

w203

−0.4068 − 1.3027i

w204

0.0732 − 0.0899i

w205

0.0877 − 0.4997i

w206

−0.0732 − 0.0899i

w207

−0.0877 − 0.4997i

w208

0.2927 + 0.9409i

w209

0.3446 + 1.1023i

w210

−0.2927 + 0.9409i

w211

−0.3446 + 1.1023i

w212

0.2350 + 0.7945i

w213

0.1670 + 0.6529i

w214

−0.2350 + 0.7945i

w215

−0.1670 + 0.6529i

w216

0.2927 − 0.9409i

w217

0.3446 − 1.1023i

w218

−0.2927 − 0.9409i

w219

−0.3446 − 1.1023i

w220

0.2350 − 0.7945i

w221

0.1670 − 0.6529i

w222

−0.2350 − 0.7945i

w223

−0.1670 − 0.6529i

w224

0.7867 + 1.4356i

w225

0.6561 + 1.1927i

w226

−0.7867 + 1.4356i

w227

−0.6561 + 1.1927i

w228

0.0947 + 0.2451i

w229

0.1865 + 0.4121i

w230

−0.0947 + 0.2451i

w231

−0.1865 + 0.4121i

w232

0.7867 − 1.4356i

w233

0.6561 − 1.1927i

w234

−0.7867 − 1.4356i

w235

−0.6561 − 1.1927i

w236

0.0947 − 0.2451i

w237

0.1865 − 0.4121i

w238

−0.0947 − 0.2451i

w239

−0.1865 − 0.4121i

w240

0.4677 + 0.8579i

w241

0.5537 + 1.0081i

w242

−0.4677 + 0.8579i

w243

−0.5537 + 1.0081i

w244

0.3893 + 0.7143i

w245

0.3110 + 0.5686i

w246

−0.3893 + 0.7143i

w247

−0.3110 + 0.5686i

w248

0.4677 − 0.8579i

w249

0.5537 − 1.0081i

w250

−0.4677 − 0.8579i

w251

−0.5537 − 1.0081i

w252

0.3893 − 0.7143i

w253

0.3110 − 0.5686i

w254

−0.3893 − 0.7143i

w255

−0.3110 − 0.5686i.

20. A coding and modulation apparatus, comprising:

encoder circuitry configured to encode input data into cell words; and

modulator circuitry configured to modulate said cell words into constellation values of a non-uniform constellation, wherein

the modulator circuitry is configured to use the following quarter of a non-uniform constellation having a total number of M=16 constellation points and the code rate 6/15,

the constellation points are defined by a constellation position vector W0 . . . b-1 with b=M/4

0.2663 + 0.4530i

0.4530 + 0.2663i

0.5115 + 1.2092i

1.2092 + 0.5115i

and the other three quarters are derived by symmetry from the said quarter of a non-uniform constellation and wherein the bit positions of the non-uniform constellation are interchanged.

21. A demodulation and decoding apparatus, comprising:

a demodulator that demodulates constellation values of a non-uniform constellation used by a coding and modulation apparatus as claimed in claim 20 into cell words; and

a decoder that decodes said cell words into output data.

22. A receiving apparatus, comprising:

a receiver that receives one or more transmission streams;

a deconverter that deconverts the received one or more transmission streams into constellation values; and

demodulation and decoding apparatus as claimed in claim 21 that demodulates and decodes said constellation values into output data.

23. The coding and modulation apparatus as claimed in claim 20 , wherein the interchanged bit positions result in a constellation position vector W0 . . . b-1 of

0.5115 + 1.2092i

1.2092 + 0.5115i

0.2663 + 0.4530i

0.4530 + 0.2663i.

24. A demodulation and decoding apparatus, comprising:

a demodulator that demodulates constellation values of a non-uniform constellation used by a coding and modulation apparatus as claimed in claim 23 into cell words; and

a decoder that decodes said cell words into output data.

25. A receiving apparatus, comprising:

a receiver that receives one or more transmission streams;

a deconverter that deconverts the received one or more transmission streams into constellation values; and

demodulation and decoding apparatus as claimed in claim 24 that demodulates and decodes said constellation values into output data.

26. A coding and modulation method, comprising:

encoding input data into cell words; and

modulating, by circuitry, said cell words into constellation values of a non-uniform constellation, wherein

the modulating uses the following quarter of a non-uniform constellation having a total number of M=16 constellation points and the code rate 6/15,

the constellation points are defined by a constellation position vector W0 . . . b-1 with b=M/4

0.2663 + 0.4530i

0.4530 + 0.2663i

0.5115 + 1.2092i

1.2092 + 0.5115i

and the other three quarters are derived by symmetry from the said quarter of a non-uniform constellation and wherein the bit positions of the non-uniform constellation are interchanged.

27. A demodulation and decoding method, comprising:

demodulating constellation values of a non-uniform constellation used by a coding and modulation method as claimed in claim 26 ; and

decoding said cell words into output data.

28. A coding and modulation apparatus, comprising:

encoder circuitry configured to encode input data into cell words; and

modulator circuitry configured to modulate said cell words into constellation values of a non-uniform constellation, wherein

the modulator circuitry uses the following quarter of a non-uniform constellation having a total number of M=16 constellation points and the code rate 10/15,

the constellation points are defined by a constellation position vector W0 . . . b-1 with b=M/4

0.6186 + 0.2544i

0.2213 + 0.4416i

1.2080 + 0.5377i

0.4487 + 1.1657i

and the other three quarters are derived by symmetry from the said quarter of a non-uniform constellation and wherein the bit positions of the non-uniform constellation are interchanged.

29. A demodulation and decoding apparatus, comprising:

a demodulator that demodulates constellation values of a non-uniform constellation used by a coding and modulation apparatus as claimed in claim 28 into cell words; and

a decoder that decodes said cell words into output data.

30. A receiving apparatus, comprising:

a receiver that receives one or more transmission streams;

a deconverter that deconverts the received one or more transmission streams into constellation values; and

demodulation and decoding apparatus as claimed in claim 29 that demodulates and decodes said constellation values into output data.

31. A coding and modulation method, comprising:

encoding input data into cell words; and

modulating, by circuitry, said cell words into constellation values of a non-uniform constellation, wherein

the modulating uses the following quarter of a non-uniform constellation having a total number of M=16 constellation points and the code rate 10/15,

the constellation points are defined by a constellation position vector W0 . . . b-1 with b=M/4

0.6186 + 0.2544i

0.2213 + 0.4416i

1.2080 + 0.5377i

0.4487 + 1.1657i

and the other three quarters are derived by symmetry from the said quarter of a non-uniform constellation and wherein the bit positions of the non-uniform constellation are interchanged.

32. A demodulation and decoding method comprising:

demodulating constellation values of a non-uniform constellation used by a coding and modulation method as claimed in claim 31 ; and

decoding said cell words into output data.

33. A coding and modulation apparatus, comprising:

encoder circuitry configured to encode input data into cell words; and

modulator circuitry configured to modulate said cell words into constellation values of a non-uniform constellation, wherein

the modulator circuitry uses the following quarter of a non-uniform constellation having a total number of M=16 constellation points and the code rate 12/15,

the constellation points are defined by a constellation position vector W0 . . . b-1 with b=M/4

−0.2949 + 0.2949i

−0.9555 + 0.2949i

−0.2949 + 0.9555i

−0.9555 + 0.9555i

and the other three quarters are derived by symmetry from the said quarter of a non-uniform constellation, the bit positions of the non-uniform constellation are interchanged and wherein the constellation points are reflected in the imaginary axis.

34. A demodulation and decoding apparatus comprising:

a demodulator that demodulates constellation values of a non-uniform constellation used by a coding and modulation apparatus as claimed in claim 33 into cell words; and

a decoder that decodes said cell words into output data.

35. A receiving apparatus comprising:

a receiver that receives one or more transmission streams;

a deconverter that deconverts the received one or more transmission streams into constellation values; and

demodulation and decoding apparatus as claimed in claim 34 that demodulates and decodes said constellation values into output data.

36. A coding and modulation method, comprising:

encoding input data into cell words; and

modulating, by circuitry, said cell words into constellation values of a non-uniform constellation, wherein

the modulating uses the following quarter of a non-uniform constellation having a total number of M=16 constellation points and the code rate 12/15,

the constellation points are defined by a constellation position vector W0 . . . b-1 with b=M/4

−0.2949 + 0.2949i

−0.9555 + 0.2949i

−0.2949 + 0.9555i

−0.9555 + 0.9555i

37. A demodulation and decoding method, comprising:

demodulating constellation values of a non-uniform constellation used by a coding and modulation method as claimed in claim 36 ; and

decoding said cell words into output data.

38. A coding and modulation method, comprising:

encoding input data into cell words; and

modulating, by circuitry, said cell words into constellation values of a non-uniform constellation, wherein

the modulator circuitry uses the following quarter of a non-uniform constellation having a total number of M=64 constellation points and the code rate 8/15,

the constellation points are defined by a constellation position vector W0 . . . b-1 with b=M/4

0.2920 + 1.4827i

0.8411 + 1.2563i

0.2174 + 1.0211i

0.5702 + 0.8798i

1.4827 + 0.2920i

1.2563 + 0.8410i

1.0211 + 0.2174i

0.8798 + 0.5702i

0.1475 + 0.3040i

0.1691 + 0.3028i

w10

0.1871 + 0.6855i

w11

0.3563 + 0.6126i

w12

0.3040 + 0.1475i

w13

0.3028 + 0.1691i

w14

0.6855 + 0.1871i

w15

0.6126 + 0.3563i

and the other three quarters are derived by symmetry from the said quarter of a non-uniform constellation and wherein the bit positions of the non-uniform constellation are interchanged.

39. A demodulation and decoding method, comprising:

demodulating constellation values of a non-uniform constellation used by a coding and modulation method as claimed in claim 38 ; and

decoding said cell words into output data.

40. A coding and modulation apparatus, comprising:

encoder circuitry configured to encode input data into cell words; and

modulator circuitry configured to modulate said cell words into constellation values of a non-uniform constellation, wherein

the modulator circuitry uses the following quarter of a non-uniform constellation having a total number of M=64 constellation points and the code rate 12/15,

the constellation points are defined by a constellation position vector W0 . . . b-1 with b=M/4

1.0519 − 0.5188i

0.7146 − 0.4532i

1.0500 − 0.1642i

0.7170 − 0.1473i

1.0952 − 0.9115i

0.6868 − 0.8108i

1.4480 − 0.2403i

0.6406 − 1.1995i

0.1325 − 0.3998i

0.4122 − 0.4120i

w10

0.1374 − 0.1295i

w11

0.4185 − 0.1357i

w12

0.1369 − 0.7073i

w13

0.4044 − 0.7057i

w14

0.1677 − 1.0405i

w15

0.2402 − 1.4087i

and the other three quarters are derived by symmetry from the said quarter of a non-uniform constellation, wherein the bit positions of the non-uniform constellation are interchanged and wherein the constellation points are reflected in the real axis.

41. A demodulation and decoding apparatus, comprising:

a demodulator that demodulates constellation values of a non-uniform constellation used by a coding and modulation apparatus as claimed in claim 40 into cell words; and

a decoder that decodes said cell words into output data.

42. A receiving apparatus, comprising:

a receiver that receives one or more transmission streams;

a deconverter that deconverts the received one or more transmission streams into constellation values; and

demodulation and decoding apparatus as claimed in claim 41 that demodulates and decodes said constellation values into output data.

43. A coding and modulation method, comprising:

encoding input data into cell words; and

modulating, by circuitry, said cell words into constellation values of a non-uniform constellation, wherein

the modulating uses the following quarter of a non-uniform constellation having a total number of M=64 constellation points and the code rate 12/15, the constellation points are defined by a constellation position vector W0 . . . b-1 with b=M/4

1.0519-0.5188i

0.7146-0.4532i

1.0500-0.1642i

0.7170-0.1473i

1.0952-0.9115i

0.6868-0.8108i

1.4480-0.2403i

0.6406-1.1995i

0.1325-0.3998i

0.4122-0.4120i

w10

0.1374-0.1295i

w11

0.4185-0.1357i

w12

0.1369-0.7073i

w13

0.4044-0.7057i

w14

0.1677-1.0405i

w15

0.2402-1.4087i

44. A demodulation and decoding method, comprising:

demodulating constellation values of a non-uniform constellation used by a coding and modulation method as claimed in claim 43 ; and

decoding said cell words into output data.

45. A coding and modulation apparatus, comprising:

encoder circuitry configured to encode input data into cell words; and

modulator circuitry configured to modulate said cell words into constellation values of a non-uniform constellation, wherein

the modulator circuitry uses the following quarter of a non-uniform constellation having a total number of M=256 constellation points and the code rate 12/15,

the constellation points are defined by a constellation position vector W0 . . . b-1 with b=M/4

1.1980 + 1.1541i

0.9192 + 1.2082i

1.2778 + 0.8523i

1.0390 + 0.9253i

0.6057 + 1.2200i

0.7371 + 1.4217i

0.6678 + 1.0021i

0.8412 + 0.9448i

1.2128 + 0.5373i

1.0048 + 0.5165i

w10

1.4321 + 0.6343i

w11

1.0245 + 0.7152i

w12

0.6384 + 0.6073i

w13

0.8175 + 0.5684i

w14

0.6568 + 0.7801i

w15

0.8311 + 0.7459i

w16

0.1349 + 1.4742i

w17

0.1105 + 1.2309i

w18

0.0634 + 0.9796i

w19

0.1891 + 1.0198i

w20

0.4142 + 1.44611

w21

0.3323 + 1.2279i

w22

0.4998 + 0.9827i

w23

0.3467 + 1.0202i

w24

0.0680 + 0.6501i

w25

0.2016 + 0.6464i

w26

0.0719 + 0.8075i

w27

0.2088 + 0.8146i

w28

0.4809 + 0.6296i

w29

0.3374 + 0.6412i

w30

0.4955 + 0.8008i

w31

0.3431 + 0.8141i

w32

1.2731 + 0.1108i

w33

1.0794 + 0.0977i

w34

1.5126 + 0.1256i

w35

0.9029 + 0.0853i

w36

0.5429 + 0.0694i

w37

0.6795 + 0.0559i

w38

0.5628 + 0.1945i

w39

0.7326 + 0.1410i

w40

1.2283 + 0.3217i

w41

1.0269 + 0.3261i

w42

1.4663 + 0.3716i

w43

0.9085 + 0.2470i

w44

0.6160 + 0.45491

w45

0.7818 + 0.4247i

w46

0.5938 + 0.3170i

w47

0.7600 + 0.2850i

w48

0.0595 + 0.0707i

w49

0.1722 + 0.0706i

w50

0.0599 + 0.2119i

w51

0.1748 + 0.2114i

w52

0.4134 + 0.0701i

w53

0.2935 + 0.0705i

w54

0.4231 + 0.2066i

w55

0.2979 + 0.2100i

w56

0.0638 + 0.5002i

w57

0.1905 + 0.4966i

w58

0.0612 + 0.3552i

w59

0.1810 + 0.3533i

w60

0.4630 + 0.4764i

w61

0.3231 + 0.4895i

w62

0.4416 + 0.3397i

w63

0.3083 + 0.3490i

and the other three quarters are derived by symmetry from the said quarter of a non-uniform constellation.

46. A demodulation and decoding apparatus, comprising:

a demodulator that demodulates constellation values of a non-uniform constellation used by a coding and modulation apparatus as claimed in claim 45 into cell words; and

a decoder that decodes said cell words into output data.

47. A receiving apparatus, comprising:

a receiver that receives one or more transmission streams;

a deconverter that deconverts the received one or more transmission streams into constellation values; and

demodulation and decoding apparatus as claimed in claim 46 that demodulates and decodes said constellation values into output data.

48. A coding and modulation method, comprising:

encoding input data into cell words; and

modulating, by circuitry, said cell words into constellation values of a non-uniform constellation, wherein

the modulating uses the following quarter of a non-uniform constellation having a total number of M=256 constellation points and the code rate 12/15,

the constellation points are defined by a constellation position vector W0 . . . b-1 with b=M/4

1.1980 + 1.1541i

0.9192 + 1.2082i

1.2778 + 0.8523i

1.0390 + 0.9253i

0.6057 + 1.2200i

0.7371 + 1.4217i

0.6678 + 1.0021i

0.8412 + 0.9448i

1.2128 + 0.5373i

1.0048 + 0.5165i

w10

1.4321 + 0.6343i

w11

1.0245 + 0.7152i

w12

0.6384 + 0.6073i

w13

0.8175 + 0.5684i

w14

0.6568 + 0.7801i

w15

0.8311 + 0.7459i

w16

0.1349 + 1.4742i

w17

0.1105 + 1.2309i

w18

0.0634 + 0.9796i

w19

0.1891 + 1.0198i

w20

0.4142 + 1.4461i

w21

0.3323 + 1.2279i

w22

0.4998 + 0.9827i

w23

0.3467 + 1.0202i

w24

0.0680 + 0.6501i

w25

0.2016 + 0.6464i

w26

0.0719 + 0.8075i

w27

0.2088 + 0.8146i

w28

0.4809 + 0.6296i

w29

0.3374 + 0.6412i

w30

0.4955 + 0.8008i

w31

0.3431 + 0.8141i

w32

1.2731 + 0.1108i

w33

1.0794 + 0.0977i

w34

1.5126 + 0.1256i

w35

0.9029 + 0.0853i

w36

0.5429 + 0.0694i

w37

0.6795 + 0.0559i

w38

0.5628 + 0.1945i

w39

0.7326 + 0.1410i

w40

1.2283 + 0.3217i

w41

1.0269 + 0.3261i

w42

1.4663 + 0.3716i

w43

0.9085 + 0.2470i

w44

0.6160 + 0.4549i

w45

0.7818 + 0.4247i

w46

0.5938 + 0.3170i

w47

0.7600 + 0.2850i

w48

0.0595 + 0.0707i

w49

0.1722 + 0.0706i

w50

0.0599 + 0.2119i

w51

0.1748 + 0.2114i

w52

0.4134 + 0.0701i

w53

0.2935 + 0.0705i

w54

0.4231 + 0.2066i

w55

0.2979 + 0.2100i

w56

0.0638 + 0.5002i

w57

0.1905 + 0.4966i

w58

0.0612 + 0.3552i

w59

0.1810 + 0.3533i

w60

0.4630 + 0.4764i

w61

0.3231 + 0.4895i

w62

0.4416 + 0.3397i

w63

0.3083 + 0.3490i

and the other three quarters are derived by symmetry from the said quarter of a non-uniform constellation.

49. A demodulation and decoding method, comprising:

demodulating constellation values of a non-uniform constellation used by a coding and modulation method as claimed in claim 48 ; and

decoding said cell words into output data.

50. A coding and modulation apparatus, comprising:

encoder circuitry configured to encode input data into cell words; and

modulator circuitry configured to modulate said cell words into constellation values of a non-uniform constellation, wherein

the modulator circuitry uses the following non-uniform constellation having a total number of M=1024 constellation points and the code rate 6/15,

the constellation points are defined by a constellation position vector u of length v=sqrt(M)/2−1

1.0003

1.0149

1.0158

2.6848

2.6903

2.882

2.8747

4.7815

4.7619

u10

5.5779

u11

5.6434

u12

7.3854

u13

7.8797

u14

9.635

u15

11.7874

and the position vector values are normalized to unit average power.

51. The coding an modulation apparatus according to claim 50 , wherein a value 1 is appended as the first element of the vector.

52. A demodulation and decoding apparatus, comprising:

a demodulator that demodulates constellation values of a non-uniform constellation used by a coding and modulation apparatus as claimed in claim 50 into cell words; and

a decoder that decodes said cell words into output data.

53. A receiving apparatus, comprising:

a receiver that receives one or more transmission streams;

a deconverter that deconverts the received one or more transmission streams into constellation values; and

demodulation and decoding apparatus as claimed in claim 52 that demodulates and decodes said constellation values into output data.

54. A coding and modulation method, comprising:

encoding input data into cell words; and

modulating, by circuitry, said cell words into constellation values of a non-uniform constellation, wherein

the modulating uses the following non-uniform constellation having a total number of M=1024 constellation points and the code rate 6/15,

the constellation points are defined by a constellation position vector u of length v=sqrt(M)/2−1

1.0003

1.0149

1.0158

2.6848

2.6903

2.882

2.8747

4.7815

4.7619

u10

5.5779

u11

5.6434

u12

7.3854

u13

7.8797

u14

9.635

u15

11.7874

and the position vector values are normalized to unit average power.

55. A demodulation and decoding method, comprising:

demodulating constellation values of a non-uniform constellation used by a coding and modulation method as claimed in claim 54 ; and

decoding said cell words into output data.

56. A coding and modulation apparatus, comprising:

encoder circuitry configured to encode input data into cell words; and

modulator circuitry configured to modulate said cell words into constellation values of a non-uniform constellation, wherein

the modulator circuitry uses the following non-uniform constellation having a total number of M=1024 constellation points and the code rate 8/15,

the constellation points are defined by a constellation position vector u of length v=sqrt(M)/2−1

1.0005

2.0897

2.0888

3.9945

3.9931

5.3843

5.3894

7.5206

7.6013

u10

9.3371

u11

9.8429

u12

11.9255

u13

13.3962

u14

15.8981

u15

19.1591

and the position vector values are normalized to unit average power.

57. The coding and modulation apparatus according to claim 56 , wherein a value 1 is appended as the first element of the vector.

58. A demodulation and decoding apparatus, comprising:

a demodulator that demodulates constellation values of a non-uniform constellation used by a coding and modulation apparatus as claimed in claim 57 into cell words; and

a decoder that decodes said cell words into output data.

59. A receiving apparatus, comprising:

a receiver that receives one or more transmission streams;

a deconverter that deconverts the received one or more transmission streams into constellation values; and

demodulation and decoding apparatus as claimed in claim 58 that demodulates and decodes said constellation values into output data.

60. A coding and modulation method, comprising:

encoding input data into cell words; and

modulating, by circuitry, said cell words into constellation values of a non-uniform constellation, wherein

the modulator circuitry uses the following non-uniform constellation having a total number of M=1024 constellation points and the code rate 8/15,

the constellation points are defined by a constellation position vector u of length v=sqrt(M)/2−1

1.0005

2.0897

2.0888

3.9945

3.9931

5.3843

5.3894

7.5206

7.6013

u10

9.3371

u11

9.8429

u12

11.9255

u13

13.3962

u14

15.8981

u15

19.1591

and the position vector values are normalized to unit average power.

61. A demodulation and decoding method, comprising:

demodulating constellation values of a non-uniform constellation used by a coding and modulation method as claimed in claim 60 ; and

decoding said cell words into output data.

62. A coding and modulation apparatus, comprising:

encoder circuitry configured to encode input data into cell words; and

modulator circuitry configured to modulate said cell words into constellation values of a non-uniform constellation, wherein

the modulator circuitry uses the following non-uniform constellation having a total number of M=1024 constellation points and the code rate 12/15,

the constellation points are defined by a constellation position vector u of length v=sqrt(M)/2−1

2.5983

4.5193

6.1649

8.2107

9.9594

12.0321

13.9574

16.2598

18.4269

u10

20.9273

u11

23.4863

u12

26.4823

u13

29.7085

u14

33.6247

u15

38.5854

and the position vector values are normalized to unit average power.

63. The coding and modulation apparatus according to claim 62 , wherein a value 1 is appended as the first element of the vector.

64. A demodulation and decoding apparatus, comprising:

a demodulator that demodulates constellation values of a non-uniform constellation used by a coding and modulation apparatus as claimed in claim 63 into cell words; and

a decoder that decodes said cell words into output data.

65. A receiving apparatus, comprising:

a receiver that receives one or more transmission streams;

a deconverter that deconverts the received one or more transmission streams into constellation values; and

demodulation and decoding apparatus as claimed in claim 64 that demodulates and decodes said constellation values into output data.

66. A coding and modulation method, comprising:

encoding input data into cell words; and

modulating, by circuitry, said cell words into constellation values of a non-uniform constellation, wherein

the modulating uses the following non-uniform constellation having a total number of M=1024 constellation points and the code rate 12/15,

the constellation points are defined by a constellation position vector u of length v=sqrt(M)/2−1

2.5983

4.5193

6.1649

8.2107

9.9594

12.0321

13.9574

16.2598

18.4269

u10

20.9273

u11

23.4863

u12

26.4823

u13

29.7085

u14

33.6247

u15

38.5854

and the position vector values are normalized to unit average power.

67. A demodulation and decoding method, comprising:

demodulating constellation values of a non-uniform constellation used by a coding and modulation method as claimed in claim 66 ; and

decoding said cell words into output data.

Assignments (1)

ASSIGNMENT OF ASSIGNOR'S INTEREST Recorded Mar 30, 2020

From: SONY CORPORATION

To: SATURN LICENSING LLC

Reel/Frame 052256/0443 →