JP4563476B2 - 符号化器、復号化器及び符号化方法 - Google Patents

符号化器、復号化器及び符号化方法 Download PDF

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Publication number
JP4563476B2
JP4563476B2 JP2008227505A JP2008227505A JP4563476B2 JP 4563476 B2 JP4563476 B2 JP 4563476B2 JP 2008227505 A JP2008227505 A JP 2008227505A JP 2008227505 A JP2008227505 A JP 2008227505A JP 4563476 B2 JP4563476 B2 JP 4563476B2
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Japan
Prior art keywords
ldpc
time
parity check
information
coding rate
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JP2008227505A
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English (en)
Japanese (ja)
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JP2010041703A5 (enExample
JP2010041703A (ja
Inventor
豊 村上
周太 岡村
雅之 折橋
高明 岸上
昌蔵 岡坂
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Panasonic Corp
Panasonic Holdings Corp
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Panasonic Corp
Matsushita Electric Industrial Co Ltd
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Priority to JP2008227505A priority Critical patent/JP4563476B2/ja
Application filed by Panasonic Corp, Matsushita Electric Industrial Co Ltd filed Critical Panasonic Corp
Priority to EP15182348.1A priority patent/EP2966783B1/en
Priority to CN201310711243.1A priority patent/CN103647559B/zh
Priority to EP18201751.7A priority patent/EP3457576B1/en
Priority to BRPI0913438-7A priority patent/BRPI0913438B1/pt
Priority to EP09794170.2A priority patent/EP2296283B1/en
Priority to CN200980121588.3A priority patent/CN102057579B/zh
Priority to PCT/JP2009/003129 priority patent/WO2010004722A1/ja
Priority to CN201310711416.XA priority patent/CN103701474B/zh
Priority to KR1020107026059A priority patent/KR101529360B1/ko
Priority to US12/937,366 priority patent/US8397145B2/en
Publication of JP2010041703A publication Critical patent/JP2010041703A/ja
Publication of JP2010041703A5 publication Critical patent/JP2010041703A5/ja
Application granted granted Critical
Publication of JP4563476B2 publication Critical patent/JP4563476B2/ja
Priority to US13/756,208 priority patent/US8612838B2/en
Priority to US14/072,586 priority patent/US8892984B2/en
Priority to US14/516,437 priority patent/US9178654B2/en
Priority to US14/860,302 priority patent/US9331715B2/en
Priority to US15/077,737 priority patent/US9564923B2/en
Priority to US15/387,041 priority patent/US10038457B2/en
Priority to US16/019,387 priority patent/US10263641B2/en
Priority to US16/248,252 priority patent/US10855312B2/en
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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
    • H03M13/1154—Low-density parity-check convolutional codes [LDPC-CC]
    • 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
    • H03M13/13—Linear 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
    • H03M13/23—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using convolutional codes, e.g. unit memory codes
    • H03M13/235—Encoding of convolutional codes, e.g. methods or arrangements for parallel or block-wise encoding
    • 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
    • H03M13/61—Aspects and characteristics of methods and arrangements for error correction or error detection, not provided for otherwise
    • H03M13/615—Use of computational or mathematical techniques
    • H03M13/616—Matrix operations, especially for generator matrices or check matrices, e.g. column or row permutations
    • 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
    • H03M13/61—Aspects and characteristics of methods and arrangements for error correction or error detection, not provided for otherwise
    • H03M13/615—Use of computational or mathematical techniques
    • H03M13/617—Polynomial operations, e.g. operations related to generator polynomials or parity-check polynomials
    • 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
    • H03M13/6306—Error control coding in combination with Automatic Repeat reQuest [ARQ] and diversity transmission, e.g. coding schemes for the multiple transmission of the same information or the transmission of incremental redundancy
    • 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
    • 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
    • H03M13/6356—Error control coding in combination with rate matching by repetition or insertion of dummy data, i.e. rate reduction
    • 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
    • H03M13/6508—Flexibility, adaptability, parametrability and configurability of the implementation
    • H03M13/6516—Support of multiple code parameters, e.g. generalized Reed-Solomon decoder for a variety of generator polynomials or Galois fields
    • 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
    • H03M13/6522—Intended application, e.g. transmission or communication standard
    • H03M13/6527—IEEE 802.11 [WLAN]
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B3/00—Line transmission systems
    • H04B3/54—Systems for transmission via power distribution lines
    • H04B3/542—Systems for transmission via power distribution lines the information being in digital form
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00—Arrangements for detecting or preventing errors in the information received
    • H04L1/004—Arrangements for detecting or preventing errors in the information received by using forward error control
    • H04L1/0041—Arrangements at the transmitter end
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00—Arrangements for detecting or preventing errors in the information received
    • H04L1/004—Arrangements for detecting or preventing errors in the information received by using forward error control
    • H04L1/0056—Systems characterized by the type of code used
    • H04L1/0057—Block codes
    • H04L1/0058—Block-coded modulation

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  • Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Theoretical Computer Science (AREA)
  • Probability & Statistics with Applications (AREA)
  • Mathematical Physics (AREA)
  • General Physics & Mathematics (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Signal Processing (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Algebra (AREA)
  • Computing Systems (AREA)
  • Power Engineering (AREA)
  • Error Detection And Correction (AREA)
JP2008227505A 2008-07-09 2008-09-04 符号化器、復号化器及び符号化方法 Active JP4563476B2 (ja)

Priority Applications (19)

Application Number Priority Date Filing Date Title
JP2008227505A JP4563476B2 (ja) 2008-07-09 2008-09-04 符号化器、復号化器及び符号化方法
CN201310711416.XA CN103701474B (zh) 2008-07-09 2009-07-06 编码方法及发送装置
EP18201751.7A EP3457576B1 (en) 2008-07-09 2009-07-06 Transmission method, reception method, and corresponding apparatuses
BRPI0913438-7A BRPI0913438B1 (pt) 2008-07-09 2009-07-06 Método de codificação e aparelho de transmissão
EP09794170.2A EP2296283B1 (en) 2008-07-09 2009-07-06 Encoder, decoder, and encoding method
CN200980121588.3A CN102057579B (zh) 2008-07-09 2009-07-06 编码器、解码器及编码方法
PCT/JP2009/003129 WO2010004722A1 (ja) 2008-07-09 2009-07-06 符号化器、復号化器及び符号化方法
CN201310711243.1A CN103647559B (zh) 2008-07-09 2009-07-06 接收装置
KR1020107026059A KR101529360B1 (ko) 2008-07-09 2009-07-06 부호화기, 복호화기 및 부호화 방법
US12/937,366 US8397145B2 (en) 2008-07-09 2009-07-06 Encoder, decoder, and encoding method
EP15182348.1A EP2966783B1 (en) 2008-07-09 2009-07-06 Encoder and transmission apparatus
US13/756,208 US8612838B2 (en) 2008-07-09 2013-01-31 Convolutional code encoding method
US14/072,586 US8892984B2 (en) 2008-07-09 2013-11-05 Convolutional code encoding method
US14/516,437 US9178654B2 (en) 2008-07-09 2014-10-16 Transmission apparatus and associated method of encoding transmission data
US14/860,302 US9331715B2 (en) 2008-07-09 2015-09-21 Reception apparatus and associated method of receiving encoded data
US15/077,737 US9564923B2 (en) 2008-07-09 2016-03-22 Reception apparatus and associated method of receiving encoded data
US15/387,041 US10038457B2 (en) 2008-07-09 2016-12-21 Transmission apparatus and associated method of encoding transmission data
US16/019,387 US10263641B2 (en) 2008-07-09 2018-06-26 Reception apparatus and associated method of receiving encoded data
US16/248,252 US10855312B2 (en) 2008-07-09 2019-01-15 Transmission apparatus and associated method of encoded data

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
JP2008179636 2008-07-09
JP2008227505A JP4563476B2 (ja) 2008-07-09 2008-09-04 符号化器、復号化器及び符号化方法

Related Child Applications (1)

Application Number Title Priority Date Filing Date
JP2010132050A Division JP4879338B2 (ja) 2008-07-09 2010-06-09 符号化方法

Publications (3)

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JP2010041703A JP2010041703A (ja) 2010-02-18
JP2010041703A5 JP2010041703A5 (enExample) 2010-07-22
JP4563476B2 true JP4563476B2 (ja) 2010-10-13

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JP2008227505A Active JP4563476B2 (ja) 2008-07-09 2008-09-04 符号化器、復号化器及び符号化方法

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US (9) US8397145B2 (enExample)
EP (3) EP2966783B1 (enExample)
JP (1) JP4563476B2 (enExample)
KR (1) KR101529360B1 (enExample)
CN (3) CN103647559B (enExample)
BR (1) BRPI0913438B1 (enExample)
WO (1) WO2010004722A1 (enExample)

Cited By (2)

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JP2013048469A (ja) * 2008-07-09 2013-03-07 Panasonic Corp 受信装置
JP5844747B2 (ja) * 2011-01-21 2016-01-20 パナソニック インテレクチュアル プロパティ コーポレーション オブアメリカＰａｎａｓｏｎｉｃ Ｉｎｔｅｌｌｅｃｔｕａｌ Ｐｒｏｐｅｒｔｙ Ｃｏｒｐｏｒａｔｉｏｎ ｏｆ Ａｍｅｒｉｃａ 符号化方法、復号方法

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US8732545B2 (en) 2008-12-26 2014-05-20 Panasonic Corporation Encoding method and encoder for generating a low-density parity check convolutional code and decoder for decoding a low-density parity check convolutional code using belief propagation
EP2738943B1 (en) * 2011-07-27 2017-10-18 Sun Patent Trust Encoding and decoding of tail-biting rate (n-1)/n low-density parity check convolutional codes (ldpc-cc)
EP2738944B1 (en) 2011-07-27 2017-08-30 Sun Patent Trust Encoding and decoding of tail-biting rate (n-1)/n low-density parity check convolutional codes (ldpc-cc)
WO2013097174A1 (zh) * 2011-12-30 2013-07-04 华为技术有限公司 前向纠错编、解码方法、装置及系统
EP2879296A4 (en) * 2012-07-24 2015-08-05 Panasonic Ip Corp America DECODING PROCESS AND CODING METHOD
EP3378164B1 (en) * 2015-12-23 2022-04-27 Samsung Electronics Co., Ltd. Apparatus and method for encoding and decoding channel in communication or broadcasting system
US10367528B2 (en) * 2016-03-04 2019-07-30 Sandisk Technologies Llc Convolutional low-density parity-check coding
US10063258B2 (en) 2016-03-04 2018-08-28 Sandisk Technologies Llc Method and data storage device to estimate a number of errors using convolutional low-density parity-check coding
US10389389B2 (en) 2016-03-04 2019-08-20 Western Digital Technologies, Inc. Method and data storage device using convolutional low-density parity-check coding with a long page write and a short page read granularity
EP3472955B1 (en) 2016-07-29 2020-09-23 Huawei Technologies Co., Ltd. Encoding device and method and corresponding decoding device and method
CN106788880B (zh) * 2016-09-30 2019-08-09 北京展讯高科通信技术有限公司 应用ldpc编码的数据传输方法及装置
CN107947801B (zh) * 2017-11-24 2020-12-15 西南电子技术研究所（中国电子科技集团公司第十研究所） 多码率兼容ldpc码编码器
CN111756453A (zh) * 2019-03-28 2020-10-09 创发信息科技（苏州）有限公司 通过一对双绞线或两对双绞线来传输的以太网通信系统
US11405057B2 (en) * 2019-10-28 2022-08-02 Huawei Technologies Co., Ltd. System and method for hybrid-ARQ
JP7587434B2 (ja) * 2020-06-03 2024-11-20 日本放送協会 送信サーバ、送信装置、受信装置及びプログラム
CN114124108B (zh) * 2020-08-25 2025-12-02 华为技术有限公司 基于低密度奇偶校验的编码方法、译码方法和相关装置
KR102574250B1 (ko) 2021-08-09 2023-09-06 서울대학교산학협력단 저밀도 패리티 체크 부호를 이용한 dna 데이터 부호화 및 복호화 방법, 프로그램 및 장치
WO2025014911A2 (en) * 2023-07-09 2025-01-16 Lyte Ai, Inc. Reflective optical amplifier array with shared drive

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2013048469A (ja) * 2008-07-09 2013-03-07 Panasonic Corp 受信装置
JP5844747B2 (ja) * 2011-01-21 2016-01-20 パナソニック インテレクチュアル プロパティ コーポレーション オブアメリカＰａｎａｓｏｎｉｃ Ｉｎｔｅｌｌｅｃｔｕａｌ Ｐｒｏｐｅｒｔｙ Ｃｏｒｐｏｒａｔｉｏｎ ｏｆ Ａｍｅｒｉｃａ 符号化方法、復号方法

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Publication number Publication date
EP2966783A1 (en) 2016-01-13
CN103701474A (zh) 2014-04-02
US20110041044A1 (en) 2011-02-17
EP2296283A4 (en) 2013-01-09
US20130145228A1 (en) 2013-06-06
CN102057579B (zh) 2014-01-22
US10855312B2 (en) 2020-12-01
CN103701474B (zh) 2017-01-18
US8612838B2 (en) 2013-12-17
KR101529360B1 (ko) 2015-06-16
EP2296283B1 (en) 2015-10-28
US20160013808A1 (en) 2016-01-14
BRPI0913438A2 (pt) 2021-06-15
EP2966783B1 (en) 2018-12-05
US20190149170A1 (en) 2019-05-16
KR20110037940A (ko) 2011-04-13
US9331715B2 (en) 2016-05-03
CN103647559A (zh) 2014-03-19
CN102057579A (zh) 2011-05-11
BRPI0913438B1 (pt) 2021-11-03
US10038457B2 (en) 2018-07-31
US20150039974A1 (en) 2015-02-05
US8892984B2 (en) 2014-11-18
US20180323800A1 (en) 2018-11-08
US20140068370A1 (en) 2014-03-06
EP3457576B1 (en) 2023-10-11
WO2010004722A1 (ja) 2010-01-14
US9178654B2 (en) 2015-11-03
US20170104495A1 (en) 2017-04-13
EP3457576A1 (en) 2019-03-20
US10263641B2 (en) 2019-04-16
EP2296283A1 (en) 2011-03-16
US8397145B2 (en) 2013-03-12
JP2010041703A (ja) 2010-02-18
CN103647559B (zh) 2017-04-12
US9564923B2 (en) 2017-02-07
US20160204807A1 (en) 2016-07-14

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