Encoder and encoding method providing incremental redundancy
View Patent ↗An encoder for error correction code encoding input data words (D) into codewords (Z 1 , Z 2 ) includes an encoder input for receiving input data words each including a first number K ldpc of information symbols, an encoding unit for encoding an input data word (D) into a codeword (Z 1 , Z 2 , Z 3 , Z 4 ) such that a codeword includes a basic codeword portion (B) including a data portion (D) and a basic parity portion (Pb) of a second number N ldpc - K ldpc of basic parity symbols, and an auxiliary codeword portion (A) including an auxiliary parity portion (Pa) of a third number MIR of auxiliary parity symbols, and an encoder output for outputting the codewords (Z 1 , Z 2 ).
1. An encoder for error correction code encoding input data words (D) into codewords (Z 1 , Z 2 ), comprising:
an encoder input configured to receive input data words (D) each comprising a first number K ldpc of information symbols,
an encoder configured to encode an input data word (D) into a codeword (Z 1 , Z 2 , Z 3 Z 4 ) such that a codeword comprises a basic codeword portion (B) including a data portion (D) and a basic parity portion (Pb) of a second number N ldpc - K ldpc of basic parity symbols, and an auxiliary codeword portion (A) including an auxiliary parity portion (Pa) of a third number M IR of auxiliary parity symbols,
wherein said encoder is configured to
i) generate said basic codeword portion (B) from an input data word (D) according to a first code, wherein a basic parity symbol is generated by accumulating an information symbol at a parity symbol address determined according to a first address generation rule and
wherein the N ldpc - K ldpc basic parity symbols are generated by accumulating an information symbol at position m, m =0, . . . , K ldpc -1, at a parity symbol address y, wherein said parity symbol addresses y are determined according to a first address generation rule
y={x+m mod G b ×Q ldpc } mod ( N ldpc −K ldpc ) if x<N ldpc −K ldpc ,
wherein x denotes the addresses of a parity symbol accumulator corresponding to the first information symbol of a group of size G b and Q ldpc is a basic code rate dependent, predefined constant, and
ii) generate said auxiliary codeword portion (A) from an input data word (D) according to a second code, wherein an auxiliary parity symbol is generated by accumulating an information symbol at position m, m =0, . . . , K ldpc -1, at a parity symbol address y, wherein said parity symbol addresses y are determined according to a second address generation rule
y=N ldpc −K ldpc +{x−( N ldpc −K ldpc ) + m mod G a ×Q IR } mod M IR if x≧N ldpc −K ldpc ,
wherein x denotes the addresses of a parity symbol accumulator corresponding to the first information symbol of a group of size G a and Q IR is an auxiliary code rate dependent, predefined constant and wherein G a =G b =72, and an encoder output for outputting said codewords (Z 1 , Z 2 ),
wherein said encoder is configured to blockwise generate said basic parity symbols and said auxiliary parity symbols by use of a group of subsequent information symbols,
wherein each information symbol i of said group of subsequent information symbols is accumulated at a set of different parity symbol addresses y,
wherein the set of parity symbol addresses, at which the first information symbol of said group is accumulated, is taken from a predetermined address table and wherein the symbol addresses, at which the subsequent information symbols of said group are accumulated, are determined from said set of parity symbol addresses according to said first or said second address generation rule, respectively,
wherein a separate set of parity symbol addresses is taken from said address table for generating each new block of basic parity symbols and auxiliary parity symbols, and
wherein said encoder is configured to subsequently take a new row of the following address table as a new set of different parity symbol addresses y for accumulating a new group of subsequent information symbols, said address table for Q IR =60, M IR =4320, N ldpc =4320, Q ldpc =30 and a code rate identifier of 1/2 being
142
150
213
247
507
538
578
828
969
1042
1107
1315
1509
1584
1612
1781
1934
2106
2117
2536
2748
3073
6181
6186
6192
3
17
20
31
97
466
571
580
842
983
1152
1226
1261
1392
1413
1465
1480
2047
2125
2374
2523
2813
4797
4898
5332
49
169
258
548
582
839
873
881
931
995
1145
1209
1639
1654
1776
1826
1865
1906
1956
2997
4265
4843
6118
6130
6381
148
393
396
486
568
806
909
965
1203
1256
1306
1371
1402
1534
1664
1736
1844
1947
2055
2247
3337
3419
3602
4638
5528
185
191
263
290
384
769
981
1071
1202
1357
1554
1723
1769
1815
1842
1880
1910
1926
1991
2518
2984
4098
4307
4373
4953
424
444
923
1679
2416
2673
3127
3151
3243
3538
3820
3896
4072
4183
4256
4425
4643
4882
5421
5750
5900
5929
6029
6030
91
436
535
978
2573
2789
2847
3356
3868
3922
3943
4085
4228
4357
4712
4777
4852
5140
5313
5381
5744
5931
6101
6250
6384
362
677
821
1695
2375
2622
2631
2782
2815
2827
2897
3031
3034
3314
3351
3369
3560
3857
4784
5283
5295
5471
5552
5995
6280
1117
1392
1454
2030
2667
2826
2877
2898
3504
3611
3765
4079
4100
4159
4362
4385
4442
4651
4779
5395
5446
5450
5472
5730
6311
35
840
1477
2152
3977
6205
6455
1061
1202
1836
1879
2239
5659
5940
242
286
1140
1538
3869
4260
4336
111
240
481
760
2485
4509
5139
59
1268
1899
2144
5044
5228
5475
737
1299
1395
2072
2664
3406
3695
34
288
810
1903
3266
5654
6059
232
1013
1365
1729
2952
4298
4860
410
783
1066
1187
3014
4134
6105
113
885
1423
1560
2761
3587
5468
760
909
1475
2048
4046
4329
4854
68
254
420
1867
2210
2293
2922
283
325
334
970
5308
5953
6201
168
321
479
554
2676
4106
4658
378
836
1913
1928
2587
2626
4239
101
238
964
1393
2346
3516
3923
304
460
1497
1588
2295
5785
6332
151
192
1075
1614
2464
5394
5987
297
313
677
1303
3090
3288
3829
329
447
1348
1832
4236
4741
4848
582
831
984
1900
4129
4230
5783.
2. The encoder of claim 1 , wherein
said encoder is configured to accumulate the basic parity symbols and the auxiliary parity symbols.
3. The encoder of claim 1 , wherein
said basic codeword portion (B) is provided for regular decoding and said auxiliary codeword portion (A) is provided as incremental redundancy if regular decoding of the codeword by use of the basic codeword portion (B) is erroneous.
4. An encoding method for error correction code encoding input data words (D) into codewords (Z 1 , Z 2 ), comprising:
receiving input data words (D) each comprising a first number K ldpc of information symbols,
encoding, by circuitry, an input data word (D) into a codeword (Z 1 , Z 2 , Z 3 , Z 4 ) such that a codeword comprises a basic codeword portion (B) including a data portion (D) and a basic parity portion (Pb) of a second number N ldpc - K ldpc of basic parity symbols, and an auxiliary codeword portion (A) including an auxiliary parity portion (Pa) of a third number M IR of auxiliary parity symbols,
generating, by the circuitry, said basic codeword portion (B) from an input data word (D) according to a first code, wherein a basic parity symbol is generated by accumulating an information symbol at a parity symbol address determined according to a first address generation rule and
wherein the N ldpc - K ldpc basic parity symbols are generated by accumulating an information symbol at position m, m =0, ..., K ldpc -1 at a parity symbol address y, wherein said parity symbol addresses y are determined according to a first address generation rule
y={x+m mod G b ×Q ldpc } mod(N ldpc −K ldpc ) if x<N ldpc −K ldpc ,
wherein x denotes the addresses of a parity symbol accumulator corresponding to the first information symbol of a group of size G b and Q ldpc is a basic code rate dependent, predefined constant,
generating, by the circuitry, said auxiliary codeword portion (A) from an input data word (D) according to a second code, wherein an auxiliary parity symbol is generated by accumulating an information symbol at position m, m =0, ..., K ldpc -1, at a parity symbol address y, wherein said parity symbol addresses y are determined according to a second address generation rule
y=N ldpc −K ldpc +{ x+m mod G a × Q IR } mod M IR if x≧N ldpc − K ldpc ,
wherein x denotes the addresses of a parity symbol accumulator corresponding to the first information symbol of a group of size G a and Q IR is an auxiliary code rate dependent, predefined constant and wherein G a =G b =72, and
outputting said codewords (Z 1 , Z 2 ),
wherein said basic parity symbols and said auxiliary parity symbols are blockwise generated by use of a group of subsequent information symbols,
wherein each information symbol i of said group of subsequent information symbols is accumulated at a set of different parity symbol addresses y,
wherein the set of parity symbol addresses, at which the first information symbol of said group is accumulated, is taken from a predetermined address table and wherein the symbol addresses, at which the subsequent information symbols of said group are accumulated, are determined from said set of parity symbol addresses according to said first or said second address generation rule, respectively, and
wherein a separate set of parity symbol addresses is taken from said address table for generating each new block of basic parity symbols and auxiliary parity symbols, and
wherein a new row of the following address table is subsequently taken as a new set of different parity symbol addresses y for accumulating a new group of subsequent information symbols, said address table for Q IR =60, M IR =4320, N ldpc =4320, Q ldpc =30and a code rate identifier of 1/2 being
142
150
213
247
507
538
578
828
969
1042
1107
1315
1509
1584
1612
1781
1934
2106
2117
2536
2748
3073
6181
6186
6192
3
17
20
31
97
466
571
580
842
983
1152
1226
1261
1392
1413
1465
1480
2047
2125
2374
2523
2813
4797
4898
5332
49
169
258
548
582
839
873
881
931
995
1145
1209
1639
1654
1776
1826
1865
1906
1956
2997
4265
4843
6118
6130
6381
148
393
396
486
568
806
909
965
1203
1256
1306
1371
1402
1534
1664
1736
1844
1947
2055
2247
3337
3419
3602
4638
5528
185
191
263
290
384
769
981
1071
1202
1357
1554
1723
1769
1815
1842
1880
1910
1926
1991
2518
2984
4098
4307
4373
4953
424
444
923
1679
2416
2673
3127
3151
3243
3538
3820
3896
4072
4183
4256
4425
4643
4882
5421
5750
5900
5929
6029
6030
91
436
535
978
2573
2789
2847
3356
3868
3922
3943
4085
4228
4357
4712
4777
4852
5140
5313
5381
5744
5931
6101
6250
6384
362
677
821
1695
2375
2622
2631
2782
2815
2827
2897
3031
3034
3314
3351
3369
3560
3857
4784
5283
5295
5471
5552
5995
6280
1117
1392
1454
2030
2667
2826
2877
2898
3504
3611
3765
4079
4100
4159
4362
4385
4442
4651
4779
5395
5446
5450
5472
5730
6311
35
840
1477
2152
3977
6205
6455
1061
1202
1836
1879
2239
5659
5940
242
286
1140
1538
3869
4260
4336
111
240
481
760
2485
4509
5139
59
1268
1899
2144
5044
5228
5475
737
1299
1395
2072
2664
3406
3695
34
288
810
1903
3266
5654
6059
232
1013
1365
1729
2952
4298
4860
410
783
1066
1187
3014
4134
6105
113
885
1423
1560
2761
3587
5468
760
909
1475
2048
4046
4329
4854
68
254
420
1867
2210
2293
2922
283
325
334
970
5308
5953
6201
168
321
479
554
2676
4106
4658
378
836
1913
1928
2587
2626
4239
101
238
964
1393
2346
3516
3923
304
460
1497
1588
2295
5785
6332
151
192
1075
1614
2464
5394
5987
297
313
677
1303
3090
3288
3829
329
447
1348
1832
4236
4741
4848
582
831
984
1900
4129
4230
5783.
5. A method for decoding data, the method comprising:
circuitry configured to decode data encoded by an encoding method for error correction code encoding input data words (D) into codewords (Z 1 , Z 2 ), the encoding method comprising:
receiving input data words (D) each comprising a first number K ldpc of information symbols,
encoding an input data word (D) into a codeword (Z 1 , Z 2 , Z 3 , Z 4 ) such that a codeword comprises a basic codeword portion (B) including a data portion (D) and a basic parity portion (Pb) of a second number N ldpc - K ldpc of basic parity symbols, and an auxiliary codeword portion (A) including an auxiliary parity portion (Pa) of a third number M IR of auxiliary parity symbols,
generating said basic codeword portion (B) from an input data word (D) according to a first code, wherein a basic parity symbol is generated by accumulating an information symbol at a parity symbol address determined according to a first address generation rule,
wherein the N ldpc - K ldpc basic parity symbols are generated by accumulating an information symbol at position m, m =0, ...,K ldpc -1 at a parity symbol address y, wherein said parity symbol addresses y are determined according to a first address generation rule
y={x+m mod G b ×Q ldpc } mod( N ldpc − K ldpc ) if x<N ldpc − K ldpc ,
wherein x denotes the addresses of a parity symbol accumulator corresponding to the first information symbol of a group of size G b and Q ldpc is a basic code rate dependent, predefined constant,
generating said auxiliary codeword portion (A) from an input data word (D) according to a second code, wherein an auxiliary parity symbol is generated by accumulating an information symbol at position m, m =0, ..., K ldpc -1, at a parity symbol address y, wherein said parity symbol addresses y are determined according to a second address generation rule
y=N ldpc −K ldpc +{x+m mod G a ×Q IR }mod M IR if x≧N ldpc −K ldpc ,
wherein x denotes the addresses of a parity symbol accumulator corresponding to the first information symbol of a group of size G a and Q IR is an auxiliary code rate dependent, predefined constant and wherein G a =G b =72, and outputting said codewords (Z 1 , Z 2 ),
wherein said basic parity symbols and said auxiliary parity symbols are blockwise generated by use of a group of subsequent information symbols,
wherein each information symbol i of said group of subsequent information symbols is accumulated at a set of different parity symbol addresses y,
wherein the set of parity symbol addresses, at which the first information symbol of said group is accumulated, is taken from a predetermined address table and wherein the symbol addresses, at which the subsequent information symbols of said group are accumulated, are determined from said set of parity symbol addresses according to said first or said second address generation rule, respectively, and
wherein a separate set of parity symbol addresses is taken from said address table for generating each new block of basic parity symbols and auxiliary parity symbols, and
wherein a new row of the following address table is subsequently taken as a new set of different parity symbol addresses y for accumulating a new group of subsequent information symbols, said address table for Q IR =60, M IR =4320, N ldpc =4320, Q ldpc =30and a code rate identifier of 1/2 being
142
150
213
247
507
538
578
828
969
1042
1107
1315
1509
1584
1612
1781
1934
2106
2117
2536
2748
3073
6181
6186
6192
3
17
20
31
97
466
571
580
842
983
1152
1226
1261
1392
1413
1465
1480
2047
2125
2374
2523
2813
4797
4898
5332
49
169
258
548
582
839
873
881
931
995
1145
1209
1639
1654
1776
1826
1865
1906
1956
2997
4265
4843
6118
6130
6381
148
393
396
486
568
806
909
965
1203
1256
1306
1371
1402
1534
1664
1736
1844
1947
2055
2247
3337
3419
3602
4638
5528
185
191
263
290
384
769
981
1071
1202
1357
1554
1723
1769
1815
1842
1880
1910
1926
1991
2518
2984
4098
4307
4373
4953
424
444
923
1679
2416
2673
3127
3151
3243
3538
3820
3896
4072
4183
4256
4425
4643
4834
4882
5421
5750
5900
5929
6029
6030
91
436
535
978
2573
2789
2847
3356
3868
3922
3943
4085
4228
4357
4712
4777
4852
5140
5313
5381
5744
5931
6101
6250
6384
362
677
821
1695
2375
2622
2631
2782
2815
2827
2897
3031
3034
3314
3351
3369
3560
3857
4784
5283
5295
5471
5552
5995
6280
1117
1392
1454
2030
2667
2826
2877
2898
3504
3611
3765
4079
4100
4159
4362
4385
4442
4651
4779
5395
5446
5450
5472
5730
6311
35
840
1477
2152
3977
6205
6455
1061
1202
1836
1879
2239
5659
5940
242
286
1140
1538
3869
4260
4336
111
240
481
760
2485
4509
5139
59
1268
1899
2144
5044
5228
5475
737
1299
1395
2072
2664
3406
3695
34
288
810
1903
3266
5954
6059
232
1013
1365
1729
2952
4298
4860
410
783
1066
1187
3014
4134
6105
113
885
1423
1560
2761
3587
5468
760
909
1475
2048
4046
4329
4854
68
254
420
1867
2210
2293
2922
283
325
334
970
5308
5953
6201
168
321
479
554
2676
4106
4658
378
836
1913
1928
2587
2626
4239
101
238
964
1393
2346
3516
3923
304
460
1497
1588
2295
5785
6332
151
192
1075
1614
2464
5394
5987
297
313
677
1303
3090
3288
3829
329
447
1348
1832
4236
4741
4848
582
831
984
1900
4129
4230
5783.