JP4225163B2 - 復号装置および復号方法、並びにプログラム - Google Patents

復号装置および復号方法、並びにプログラム Download PDF

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Publication number
JP4225163B2
JP4225163B2 JP2003294383A JP2003294383A JP4225163B2 JP 4225163 B2 JP4225163 B2 JP 4225163B2 JP 2003294383 A JP2003294383 A JP 2003294383A JP 2003294383 A JP2003294383 A JP 2003294383A JP 4225163 B2 JP4225163 B2 JP 4225163B2
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decoding
calculation
matrix
intermediate result
decoding intermediate
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Japanese (ja)
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JP2004364233A (ja
JP2004364233A5 (enExample
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峰志 横川
俊之 宮内
康博 飯田
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Sony Corp
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Sony Corp
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Priority to JP2003294383A priority Critical patent/JP4225163B2/ja
Application filed by Sony Corp filed Critical Sony Corp
Priority to CN 200910147019 priority patent/CN101567699B/zh
Priority to ES04728265T priority patent/ES2401577T3/es
Priority to EP10178005.4A priority patent/EP2270989B1/en
Priority to EP04728265A priority patent/EP1624581B1/en
Priority to EP10178046.8A priority patent/EP2270990B1/en
Priority to ES10178046T priority patent/ES2426756T3/es
Priority to KR1020057000601A priority patent/KR101090001B1/ko
Priority to PCT/JP2004/005562 priority patent/WO2004102811A1/ja
Priority to ES10178005T priority patent/ES2424463T3/es
Priority to US10/521,054 priority patent/US7299397B2/en
Priority to US12/611,227 priority patent/USRE44420E1/en
Publication of JP2004364233A publication Critical patent/JP2004364233A/ja
Publication of JP2004364233A5 publication Critical patent/JP2004364233A5/ja
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    • H—ELECTRICITY
    • H03—ELECTRONIC CIRCUITRY
    • H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
    • H03M13/05—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
    • H03M13/11—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits using multiple parity bits
    • H03M13/1102—Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes
    • H03M13/1148—Structural properties of the code parity-check or generator matrix
    • H03M13/116—Quasi-cyclic LDPC [QC-LDPC] codes, i.e. the parity-check matrix being composed of permutation or circulant sub-matrices
    • H03M13/1168—Quasi-cyclic LDPC [QC-LDPC] codes, i.e. the parity-check matrix being composed of permutation or circulant sub-matrices wherein the sub-matrices have column and row weights greater than one, e.g. multi-diagonal sub-matrices
    • H—ELECTRICITY
    • H03—ELECTRONIC CIRCUITRY
    • H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
    • H03M13/05—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
    • H03M13/11—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits using multiple parity bits
    • H—ELECTRICITY
    • H03—ELECTRONIC CIRCUITRY
    • H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
    • H03M13/05—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
    • H03M13/09—Error detection only, e.g. using cyclic redundancy check [CRC] codes or single parity bit
    • H—ELECTRICITY
    • H03—ELECTRONIC CIRCUITRY
    • H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
    • H03M13/05—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
    • H03M13/11—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits using multiple parity bits
    • H03M13/1102—Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes
    • H03M13/1105—Decoding
    • H03M13/1111—Soft-decision decoding, e.g. by means of message passing or belief propagation algorithms
    • H03M13/1114—Merged schedule message passing algorithm with storage of sums of check-to-bit node messages or sums of bit-to-check node messages, e.g. in order to increase the memory efficiency
    • H—ELECTRICITY
    • H03—ELECTRONIC CIRCUITRY
    • H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
    • H03M13/05—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
    • H03M13/11—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits using multiple parity bits
    • H03M13/1102—Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes
    • H03M13/1105—Decoding
    • H03M13/1131—Scheduling of bit node or check node processing
    • H03M13/1134—Full parallel processing, i.e. all bit nodes or check nodes are processed in parallel
    • H—ELECTRICITY
    • H03—ELECTRONIC CIRCUITRY
    • H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
    • H03M13/05—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
    • H03M13/11—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits using multiple parity bits
    • H03M13/1102—Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes
    • H03M13/1105—Decoding
    • H03M13/1131—Scheduling of bit node or check node processing
    • H03M13/1137—Partly parallel processing, i.e. sub-blocks or sub-groups of nodes being processed in parallel
    • H—ELECTRICITY
    • H03—ELECTRONIC CIRCUITRY
    • H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
    • H03M13/05—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
    • H03M13/11—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits using multiple parity bits
    • H03M13/1102—Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes
    • H03M13/1105—Decoding
    • H03M13/1145—Pipelined decoding at code word level, e.g. multiple code words being decoded simultaneously
    • H—ELECTRICITY
    • H03—ELECTRONIC CIRCUITRY
    • H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
    • H03M13/05—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
    • H03M13/11—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits using multiple parity bits
    • H03M13/1102—Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes
    • H03M13/1148—Structural properties of the code parity-check or generator matrix
    • H03M13/118—Parity check matrix structured for simplifying encoding, e.g. by having a triangular or an approximate triangular structure
    • H03M13/1185—Parity check matrix structured for simplifying encoding, e.g. by having a triangular or an approximate triangular structure wherein the parity-check matrix comprises a part with a double-diagonal
    • H03M13/1188—Parity check matrix structured for simplifying encoding, e.g. by having a triangular or an approximate triangular structure wherein the parity-check matrix comprises a part with a double-diagonal wherein in the part with the double-diagonal at least one column has an odd column weight equal or greater than three
    • H—ELECTRICITY
    • H03—ELECTRONIC CIRCUITRY
    • H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
    • H03M13/05—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
    • H03M13/13—Linear codes
    • H03M13/19—Single error correction without using particular properties of the cyclic codes, e.g. Hamming codes, extended or generalised Hamming codes
    • H—ELECTRICITY
    • H03—ELECTRONIC CIRCUITRY
    • H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/65—Purpose and implementation aspects
    • H03M13/6502—Reduction of hardware complexity or efficient processing
    • H03M13/6505—Memory efficient implementations
    • H—ELECTRICITY
    • H03—ELECTRONIC CIRCUITRY
    • H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/65—Purpose and implementation aspects
    • H03M13/6566—Implementations concerning memory access contentions
    • H—ELECTRICITY
    • H03—ELECTRONIC CIRCUITRY
    • H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/65—Purpose and implementation aspects
    • H03M13/6577—Representation or format of variables, register sizes or word-lengths and quantization

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  • Physics & Mathematics (AREA)
  • Probability & Statistics with Applications (AREA)
  • Engineering & Computer Science (AREA)
  • Theoretical Computer Science (AREA)
  • Mathematical Physics (AREA)
  • Error Detection And Correction (AREA)
  • Detection And Correction Of Errors (AREA)
JP2003294383A 2003-05-13 2003-08-18 復号装置および復号方法、並びにプログラム Expired - Fee Related JP4225163B2 (ja)

Priority Applications (12)

Application Number Priority Date Filing Date Title
JP2003294383A JP4225163B2 (ja) 2003-05-13 2003-08-18 復号装置および復号方法、並びにプログラム
US10/521,054 US7299397B2 (en) 2003-05-13 2004-04-19 Decoding apparatus, decoding method, and program to decode low density parity check codes
EP10178005.4A EP2270989B1 (en) 2003-05-13 2004-04-19 Decoding apparatus, decoding method, and program
EP04728265A EP1624581B1 (en) 2003-05-13 2004-04-19 Decoding device, decoding method, and program
EP10178046.8A EP2270990B1 (en) 2003-05-13 2004-04-19 Decoding apparatus, decoding method, and program
ES10178046T ES2426756T3 (es) 2003-05-13 2004-04-19 Aparato de decodificación, método de decodificación y programa
CN 200910147019 CN101567699B (zh) 2003-05-13 2004-04-19 解码装置
PCT/JP2004/005562 WO2004102811A1 (ja) 2003-05-13 2004-04-19 復号装置および復号方法、並びにプログラム
ES10178005T ES2424463T3 (es) 2003-05-13 2004-04-19 Aparato de decodificación, método de decodificación y programa
ES04728265T ES2401577T3 (es) 2003-05-13 2004-04-19 Dispositivo de decodificación, método de decodificación y programa
US12/611,227 USRE44420E1 (en) 2003-05-13 2004-04-19 Decoding apparatus, decoding method, and program to decode low density parity check codes
KR1020057000601A KR101090001B1 (ko) 2003-05-13 2004-04-19 복호 장치 및 복호 방법, 및 기록 매체

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JP2003133941 2003-05-13
JP2003294383A JP4225163B2 (ja) 2003-05-13 2003-08-18 復号装置および復号方法、並びにプログラム

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JP2004364233A JP2004364233A (ja) 2004-12-24
JP2004364233A5 JP2004364233A5 (enExample) 2006-05-18
JP4225163B2 true JP4225163B2 (ja) 2009-02-18

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US (2) USRE44420E1 (enExample)
EP (3) EP1624581B1 (enExample)
JP (1) JP4225163B2 (enExample)
KR (1) KR101090001B1 (enExample)
ES (3) ES2424463T3 (enExample)
WO (1) WO2004102811A1 (enExample)

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JP5536155B2 (ja) * 2012-08-03 2014-07-02 トムソン ライセンシング 誤り訂正を実行する装置及び方法
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EP1624581B1 (en) 2013-01-02
EP1624581A4 (en) 2008-07-09
EP2270989A3 (en) 2011-06-22
EP2270989A2 (en) 2011-01-05
KR20060007362A (ko) 2006-01-24
EP1624581A1 (en) 2006-02-08
EP2270990A2 (en) 2011-01-05
WO2004102811A1 (ja) 2004-11-25
EP2270990B1 (en) 2013-07-10
ES2426756T3 (es) 2013-10-25
JP2004364233A (ja) 2004-12-24
US20050240853A1 (en) 2005-10-27
USRE44420E1 (en) 2013-08-06
ES2401577T3 (es) 2013-04-22
ES2424463T3 (es) 2013-10-02
KR101090001B1 (ko) 2011-12-05
EP2270989B1 (en) 2013-07-03
EP2270990A3 (en) 2011-06-22
US7299397B2 (en) 2007-11-20

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