PL2387157T3 - Wydajne kodowanie kodów LDPC z użyciem strukturalnych macierzy kontroli parzystości - Google Patents

Wydajne kodowanie kodów LDPC z użyciem strukturalnych macierzy kontroli parzystości

Info

Publication number
PL2387157T3
PL2387157T3 PL11177322T PL11177322T PL2387157T3 PL 2387157 T3 PL2387157 T3 PL 2387157T3 PL 11177322 T PL11177322 T PL 11177322T PL 11177322 T PL11177322 T PL 11177322T PL 2387157 T3 PL2387157 T3 PL 2387157T3
Authority
PL
Poland
Prior art keywords
ldpc codes
efficient encoding
check matrices
structured parity
parity
Prior art date
Application number
PL11177322T
Other languages
English (en)
Inventor
Yufei W Blankenship
Brian K Classon
T Keith Blankenship
Original Assignee
Google Technology Holdings LLC
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Family has litigation
First worldwide family litigation filed litigation Critical https://patents.darts-ip.com/?family=35758925&utm_source=***_patent&utm_medium=platform_link&utm_campaign=public_patent_search&patent=PL2387157(T3) "Global patent litigation dataset” by Darts-ip is licensed under a Creative Commons Attribution 4.0 International License.
Application filed by Google Technology Holdings LLC filed Critical Google Technology Holdings LLC
Publication of PL2387157T3 publication Critical patent/PL2387157T3/pl

Links

Classifications

    • 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
    • H03M13/63—Joint error correction and other techniques
    • H03M13/635—Error control coding in combination with rate matching
    • H03M13/6362—Error control coding in combination with rate matching by puncturing
    • H03M13/6368—Error control coding in combination with rate matching by puncturing using rate compatible puncturing or complementary puncturing
    • H03M13/6393—Rate compatible low-density parity check [LDPC] 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
    • 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
    • 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
    • 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
    • H03M13/1174—Parity-check or generator matrices built from sub-matrices representing known block codes such as, e.g. Hamming codes, e.g. generalized LDPC 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
    • H03M13/03—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
    • 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
    • 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

Landscapes

  • Physics & Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Probability & Statistics with Applications (AREA)
  • Engineering & Computer Science (AREA)
  • Theoretical Computer Science (AREA)
  • Error Detection And Correction (AREA)
PL11177322T 2004-08-09 2005-08-03 Wydajne kodowanie kodów LDPC z użyciem strukturalnych macierzy kontroli parzystości PL2387157T3 (pl)

Applications Claiming Priority (4)

Application Number Priority Date Filing Date Title
US60000504P 2004-08-09 2004-08-09
US11/004,359 US7143333B2 (en) 2004-08-09 2004-12-03 Method and apparatus for encoding and decoding data
EP05778444A EP1790081A4 (en) 2004-08-09 2005-08-03 METHOD AND DEVICE FOR CODING AND DECODING DATA
EP11177322.2A EP2387157B1 (en) 2004-08-09 2005-08-03 Efficient encoding of LDPC codes using structured parity-check matrices

Publications (1)

Publication Number Publication Date
PL2387157T3 true PL2387157T3 (pl) 2013-12-31

Family

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Family Applications (1)

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PL11177322T PL2387157T3 (pl) 2004-08-09 2005-08-03 Wydajne kodowanie kodów LDPC z użyciem strukturalnych macierzy kontroli parzystości

Country Status (10)

Country Link
US (1) US7143333B2 (pl)
EP (2) EP2387157B1 (pl)
JP (1) JP4516602B2 (pl)
KR (1) KR100884698B1 (pl)
CN (1) CN101032082B (pl)
BR (1) BRPI0514179B1 (pl)
ES (1) ES2421942T3 (pl)
PL (1) PL2387157T3 (pl)
RU (1) RU2370886C2 (pl)
WO (1) WO2006020495A1 (pl)

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US7581157B2 (en) * 2004-06-24 2009-08-25 Lg Electronics Inc. Method and apparatus of encoding and decoding data using low density parity check code in a wireless communication system
US7934140B2 (en) * 2004-09-17 2011-04-26 Lg Electronics Inc. Method of encoding and decoding using LDPC code
KR101065693B1 (ko) * 2004-09-17 2011-09-19 엘지전자 주식회사 Ｌｄｐｃ 코드를 이용한 부호화, 복호화 방법 및 부호화또는 복호화를 위한 ｌｄｐｃ 코드 생성 방법
BRPI0515948A (pt) * 2004-10-01 2008-08-12 Thomson Licensing decodificador de verificação de paridade de baixa densidade (ldpc)
EP1829223B1 (en) * 2004-12-22 2013-02-13 LG Electronics Inc. Parallel, layered decoding for Low-Density Parity-Check (LDPC) codes
CN100486150C (zh) * 2005-01-23 2009-05-06 中兴通讯股份有限公司 基于非正则低密度奇偶校验码的编译码器及其生成方法
US20070180344A1 (en) * 2006-01-31 2007-08-02 Jacobsen Eric A Techniques for low density parity check for forward error correction in high-data rate transmission
US7941737B2 (en) * 2006-04-19 2011-05-10 Tata Consultancy Services Limited Low density parity check code decoder
KR101119111B1 (ko) * 2006-05-04 2012-03-16 엘지전자 주식회사 Ｌｄｐｃ 부호를 이용한 데이터 재전송 방법
KR101227514B1 (ko) 2007-03-15 2013-01-31 엘지전자 주식회사 Ｌｄｐｃ 부호화 및 복호화를 위한 모델 행렬을 구성하는방법
US8418023B2 (en) * 2007-05-01 2013-04-09 The Texas A&M University System Low density parity check decoder for irregular LDPC codes
US20080320374A1 (en) * 2007-06-22 2008-12-25 Legend Silicon Corp. Method and apparatus for decoding a ldpc code
JP4823176B2 (ja) * 2007-08-31 2011-11-24 パナソニック株式会社 復号方法及び復号装置
CN101803205B (zh) * 2008-08-15 2013-12-18 Lsi公司 近码字的ram列表解码
CN102077173B (zh) 2009-04-21 2015-06-24 艾格瑞***有限责任公司 利用写入验证减轻代码的误码平层
US8392789B2 (en) * 2009-07-28 2013-03-05 Texas Instruments Incorporated Method and system for decoding low density parity check codes
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Also Published As

Publication number Publication date
ES2421942T3 (es) 2013-09-06
EP2387157B1 (en) 2013-07-10
KR20070035072A (ko) 2007-03-29
CN101032082B (zh) 2010-09-15
BRPI0514179A (pt) 2008-06-03
US20060031744A1 (en) 2006-02-09
JP2008509635A (ja) 2008-03-27
RU2370886C2 (ru) 2009-10-20
US7143333B2 (en) 2006-11-28
JP4516602B2 (ja) 2010-08-04
EP2387157A1 (en) 2011-11-16
EP1790081A1 (en) 2007-05-30
CN101032082A (zh) 2007-09-05
BRPI0514179B1 (pt) 2018-01-23
KR100884698B1 (ko) 2009-02-19
RU2007107953A (ru) 2008-09-20
EP1790081A4 (en) 2009-06-03
WO2006020495A1 (en) 2006-02-23

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