CN105075128B - 用于经提升ldpc码的方法、计算机可读存储介质和设备 - Google Patents

用于经提升ldpc码的方法、计算机可读存储介质和设备 Download PDF

Info

Publication number
CN105075128B
CN105075128B CN201480008419.XA CN201480008419A CN105075128B CN 105075128 B CN105075128 B CN 105075128B CN 201480008419 A CN201480008419 A CN 201480008419A CN 105075128 B CN105075128 B CN 105075128B
Authority
CN
China
Prior art keywords
group
sub
lifting
lifted
columns
Prior art date
Legal status (The legal status 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 status listed.)
Active
Application number
CN201480008419.XA
Other languages
English (en)
Chinese (zh)
Other versions
CN105075128A (zh
Inventor
T·J·理查德森
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Qualcomm Inc
Original Assignee
Qualcomm Inc
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
Application filed by Qualcomm Inc filed Critical Qualcomm Inc
Publication of CN105075128A publication Critical patent/CN105075128A/zh
Application granted granted Critical
Publication of CN105075128B publication Critical patent/CN105075128B/zh
Active legal-status Critical Current
Anticipated expiration legal-status Critical

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
    • H03M13/1102—Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes
    • H03M13/1105—Decoding
    • 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
    • H03M13/033—Theoretical methods to calculate these checking codes
    • H03M13/036—Heuristic code construction methods, i.e. code construction or code search based on using trial-and-error
    • 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
    • H03M13/1148—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
    • H03M13/118—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
    • 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
    • H03M13/611—Specific encoding aspects, e.g. encoding by means of decoding
    • 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

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)
CN201480008419.XA 2013-02-13 2014-02-13 用于经提升ldpc码的方法、计算机可读存储介质和设备 Active CN105075128B (zh)

Applications Claiming Priority (7)

Application Number Priority Date Filing Date Title
US201361764476P 2013-02-13 2013-02-13
US61/764,476 2013-02-13
PCT/US2014/016279 WO2014127140A1 (en) 2013-02-13 2014-02-13 Design for lifted ldpc codes having high parallelism, low error floor, and simple encoding principle
US14/179,942 US9306601B2 (en) 2013-02-13 2014-02-13 LDPC design for high parallelism, low error floor, and simple encoding
US14/179,871 US20140229788A1 (en) 2013-02-13 2014-02-13 Ldpc design for high rate, high parallelism, and low error floor
US14/179,942 2014-02-13
US14/179,871 2014-02-13

Publications (2)

Publication Number Publication Date
CN105075128A CN105075128A (zh) 2015-11-18
CN105075128B true CN105075128B (zh) 2018-07-17

Family

ID=51298356

Family Applications (2)

Application Number Title Priority Date Filing Date
CN201480008419.XA Active CN105075128B (zh) 2013-02-13 2014-02-13 用于经提升ldpc码的方法、计算机可读存储介质和设备
CN201480008409.6A Active CN104981978B (zh) 2013-02-13 2014-02-13 使用准循环构造和穿孔以实现高速率、高并行性和低差错本底的ldpc设计

Family Applications After (1)

Application Number Title Priority Date Filing Date
CN201480008409.6A Active CN104981978B (zh) 2013-02-13 2014-02-13 使用准循环构造和穿孔以实现高速率、高并行性和低差错本底的ldpc设计

Country Status (7)

Country Link
US (2) US9306601B2 (2)
EP (2) EP2957038B1 (2)
JP (2) JP6542132B2 (2)
KR (2) KR101662747B1 (2)
CN (2) CN105075128B (2)
BR (1) BR112015019409B1 (2)
WO (2) WO2014127140A1 (2)

Families Citing this family (50)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP3035539A1 (en) * 2014-12-19 2016-06-22 Xieon Networks S.à r.l. Encoder, decoder and encoding method with low error floor
CN106160937B (zh) 2015-04-15 2019-01-04 中兴通讯股份有限公司 一种实现码块分割的方法及装置
US10523364B2 (en) * 2015-11-06 2019-12-31 Samsung Electronics Co., Ltd. Channel coding framework for 802.11AY and larger block-length LDPC codes for 11AY with 2-step lifting matrices and in-place property
US10784901B2 (en) 2015-11-12 2020-09-22 Qualcomm Incorporated Puncturing for structured low density parity check (LDPC) codes
US10404280B2 (en) * 2015-11-19 2019-09-03 Westhold Corporation Error correction using cyclic code-based LDPC codes
US11043966B2 (en) * 2016-05-11 2021-06-22 Qualcomm Incorporated Methods and apparatus for efficiently generating multiple lifted low-density parity-check (LDPC) codes
US10454499B2 (en) * 2016-05-12 2019-10-22 Qualcomm Incorporated Enhanced puncturing and low-density parity-check (LDPC) code structure
US9917675B2 (en) 2016-06-01 2018-03-13 Qualcomm Incorporated Enhanced polar code constructions by strategic placement of CRC bits
US10313057B2 (en) 2016-06-01 2019-06-04 Qualcomm Incorporated Error detection in wireless communications using sectional redundancy check information
US10469104B2 (en) 2016-06-14 2019-11-05 Qualcomm Incorporated Methods and apparatus for compactly describing lifted low-density parity-check (LDPC) codes
KR20180009558A (ko) 2016-07-19 2018-01-29 삼성전자주식회사 저밀도-패리티 체크 코드를 이용하는 디코더 및 이를 포함하는 메모리 컨트롤러
EP3491758B1 (en) 2016-07-27 2023-06-28 QUALCOMM Incorporated Design of hybrid automatic repeat request (harq) feedback bits for polar codes
CN109792253A (zh) * 2016-09-30 2019-05-21 Lg电子株式会社 Qc ldpc码速率匹配方法和用于该方法的装置
CN107959501B (zh) * 2016-10-17 2021-06-29 上海数字电视国家工程研究中心有限公司 一种ldpc编码器
WO2018079987A1 (ko) * 2016-10-24 2018-05-03 엘지전자 주식회사 Ldpc 코드의 운송블록 분할 방법 및 이를 위한 장치
WO2018084735A1 (en) * 2016-11-03 2018-05-11 Huawei Technologies Co., Ltd. Efficiently decodable qc-ldpc code
EP3327936B1 (fr) * 2016-11-23 2021-04-21 SUEZ Groupe Codage/décodage par code ldpc quasi-cyclique semi-régulier de courte longueur pour applications à faible consommation telles que la télérelève
JP2020501429A (ja) * 2017-01-06 2020-01-16 エルジー エレクトロニクス インコーポレイティド 多重ｌｄｐｃコードからｌｄｐｃベースコードを選択する方法及びそのための装置
EP3571770B1 (en) * 2017-03-03 2024-02-21 Huawei Technologies Co., Ltd. High-rate long ldpc codes
CN108631925B (zh) * 2017-03-24 2022-05-03 中兴通讯股份有限公司 一种准循环低密度奇偶校验编码处理方法及装置
US11368169B2 (en) 2017-03-24 2022-06-21 Zte Corporation Processing method and device for quasi-cyclic low density parity check coding
RU2667772C1 (ru) * 2017-05-05 2018-09-24 Хуавэй Текнолоджиз Ко., Лтд. Способ и устройство обработки информации и устройство связи
CN108809325B (zh) * 2017-05-05 2022-01-28 上海数字电视国家工程研究中心有限公司 Ldpc译码器
CN108809328B (zh) 2017-05-05 2024-05-17 华为技术有限公司 信息处理的方法、通信装置
WO2018201540A1 (zh) * 2017-05-05 2018-11-08 华为技术有限公司 信息处理的方法、通信装置
US10680646B2 (en) 2017-05-12 2020-06-09 Qualcomm Incorporated Row orthogonality in LDPC rate compatible design
CN108988869B (zh) * 2017-05-31 2021-07-30 大唐移动通信设备有限公司 一种确定校验矩阵的方法及装置、计算机存储介质
CN108988871A (zh) * 2017-05-31 2018-12-11 电信科学技术研究院 一种编码方法及装置、计算机存储介质
US10312939B2 (en) 2017-06-10 2019-06-04 Qualcomm Incorporated Communication techniques involving pairwise orthogonality of adjacent rows in LPDC code
RU2740154C1 (ru) 2017-06-15 2021-01-12 Хуавей Текнолоджиз Ко., Лтд. Способ обработки информации и устройство связи
CN109067407B (zh) * 2017-06-15 2019-11-15 华为技术有限公司 信息处理的方法、装置和通信设备
US12476733B2 (en) 2017-06-19 2025-11-18 Qualcomm Incorporated Communication techniques with self-decodable redundancy versions (RVs) using systematic codes
CN118473422A (zh) * 2017-06-27 2024-08-09 华为技术有限公司 信息处理的方法、装置和通信设备
CN110677157B (zh) * 2017-06-27 2023-02-07 华为技术有限公司 信息处理的方法、装置和通信设备
CN110832799B (zh) 2017-07-07 2021-04-02 高通股份有限公司 应用低密度奇偶校验码基图选择的通信技术
US10887791B2 (en) * 2017-07-28 2021-01-05 Qualcomm Incorporated Techniques and apparatuses for low density parity check base graph determination and indication
KR101917829B1 (ko) * 2017-11-30 2018-11-12 고려대학교 산학협력단 Ldpc 부호의 셔플 복호를 위한 복호 순서 결정 방법 및 장치
WO2019164515A1 (en) * 2018-02-23 2019-08-29 Nokia Technologies Oy Ldpc codes for 3gpp nr ultra-reliable low-latency communications
WO2019226064A1 (en) * 2018-05-22 2019-11-28 Huawei Technologies Co., Ltd. Type-i qc-ldpc codes with efficient encoding and good error floor characteristic
KR101991447B1 (ko) * 2018-09-10 2019-06-20 국방과학연구소 블록 간섭 및 블록 페이딩에 강인한 고부호율 프로토그래프 기반 ldpc 부호 설계 기법
CN111064475A (zh) * 2018-10-16 2020-04-24 华为技术有限公司 基于低密度奇偶校验码的译码方法及装置
CN109639392B (zh) * 2018-11-09 2020-03-27 清华大学 广播信道传输的空间耦合ldpc码的构造方法及系统
US11303303B2 (en) * 2020-01-03 2022-04-12 Qualcomm Incorporated Rate 7/8 low-density parity-check (LDPC) code
US11455208B2 (en) 2020-08-20 2022-09-27 Western Digital Technologies, Inc. Soft information for punctured bit estimation in a data storage device
KR102476160B1 (ko) * 2020-11-11 2022-12-08 포항공과대학교 산학협력단 비이진 저밀도 패리티 검사 코드 복호기 및 이를 이용한 복호화 방법
US11575390B2 (en) * 2021-07-02 2023-02-07 Hong Kong Applied Science and Technology Research Insitute Co., Ltd. Low-latency segmented quasi-cyclic low-density parity-check (QC-LDPC) decoder
US20240405918A1 (en) * 2023-06-05 2024-12-05 Qualcomm Incorporated Low-density parity-check coding including punctured auxiliary bits
CN116644071B (zh) * 2023-06-08 2024-04-05 中国长江三峡集团有限公司 一种物资编码管理方法、装置、计算机设备及存储介质
US12308958B2 (en) * 2023-08-15 2025-05-20 Qualcomm Incorporated Fast converging low-density parity-check techniques
CN120185621A (zh) * 2023-12-18 2025-06-20 华为技术有限公司 一种基于ldpc码的通信方法和通信装置

Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1770640A (zh) * 2004-11-04 2006-05-10 中兴通讯股份有限公司 一种低密度奇偶校验码的编码器/译码器及其生成方法
CN101427473A (zh) * 2006-06-07 2009-05-06 Lg电子株式会社 使用低密度校验码矩阵进行编码/解码的方法

Family Cites Families (28)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US6633856B2 (en) 2001-06-15 2003-10-14 Flarion Technologies, Inc. Methods and apparatus for decoding LDPC codes
US6961888B2 (en) * 2002-08-20 2005-11-01 Flarion Technologies, Inc. Methods and apparatus for encoding LDPC codes
US6957375B2 (en) * 2003-02-26 2005-10-18 Flarion Technologies, Inc. Method and apparatus for performing low-density parity-check (LDPC) code operations using a multi-level permutation
KR100809619B1 (ko) * 2003-08-26 2008-03-05 삼성전자주식회사 이동 통신 시스템에서 블록 저밀도 패러티 검사 부호부호화/복호 장치 및 방법
KR100922956B1 (ko) * 2003-10-14 2009-10-22 삼성전자주식회사 저밀도 패리티 검사 코드의 부호화 방법
KR20050118056A (ko) 2004-05-12 2005-12-15 삼성전자주식회사 다양한 부호율을 갖는 Ｂｌｏｃｋ ＬＤＰＣ 부호를 이용한이동 통신 시스템에서의 채널부호화 복호화 방법 및 장치
US7346832B2 (en) * 2004-07-21 2008-03-18 Qualcomm Incorporated LDPC encoding methods and apparatus
US7143333B2 (en) 2004-08-09 2006-11-28 Motorola, Inc. Method and apparatus for encoding and decoding data
US7506238B2 (en) * 2004-08-13 2009-03-17 Texas Instruments Incorporated Simplified LDPC encoding for digital communications
WO2006039801A1 (en) 2004-10-12 2006-04-20 Nortel Networks Limited System and method for low density parity check encoding of data
KR100856235B1 (ko) 2005-09-26 2008-09-03 삼성전자주식회사 가변 부호화율을 가지는 블록 저밀도 패리티 검사 부호부호화/복호 장치 및 방법
US8132072B2 (en) 2006-01-06 2012-03-06 Qualcomm Incorporated System and method for providing H-ARQ rate compatible codes for high throughput applications
EP1999852B1 (en) * 2006-03-30 2011-08-03 Fujitsu Ltd. Construction of parity-check matrices for non-binary ldpc codes
US8028216B1 (en) * 2006-06-02 2011-09-27 Marvell International Ltd. Embedded parity coding for data storage
KR101299124B1 (ko) 2006-10-26 2013-08-22 퀄컴 인코포레이티드 무선 통신 전송을 위한 코딩 방법
US8161363B2 (en) * 2006-12-04 2012-04-17 Samsung Electronics Co., Ltd Apparatus and method to encode/decode block low density parity check codes in a communication system
KR101433375B1 (ko) 2006-12-04 2014-08-29 삼성전자주식회사 통신 시스템에서 블록 저밀도 패리티 검사 부호부호화/복호 장치 및 방법
CN101601187B (zh) * 2007-01-24 2014-08-20 高通股份有限公司 对可变大小分组进行ldpc编码和译码
US8261155B2 (en) * 2007-03-09 2012-09-04 Qualcomm Incorporated Methods and apparatus for encoding and decoding low density parity check (LDPC) codes
KR101119302B1 (ko) * 2007-04-20 2012-03-19 재단법인서울대학교산학협력재단 통신 시스템에서 저밀도 패리티 검사 부호 부호화 장치 및방법
KR20080102902A (ko) * 2007-05-22 2008-11-26 삼성전자주식회사 가변 부호화율을 가지는 ｌｄｐｃ 부호 설계 방법, 장치 및그 정보 저장 매체
US7966548B2 (en) 2007-06-29 2011-06-21 Alcatel-Lucent Usa Inc. Method and system for encoding data using rate-compatible irregular LDPC codes based on edge growth and parity splitting
JP5354985B2 (ja) 2007-07-30 2013-11-27 パナソニック株式会社 符号化装置及び復号化装置
CN101227193B (zh) * 2008-02-02 2010-06-02 中国科学院计算技术研究所 一种低密度校验码的编解码装置和方法
EP2099135B1 (en) * 2008-03-03 2018-02-28 Samsung Electronics Co., Ltd. Apparatus and method for channel encoding and decoding in communication system using low-density parity-check codes
US8433972B2 (en) * 2009-04-06 2013-04-30 Nec Laboratories America, Inc. Systems and methods for constructing the base matrix of quasi-cyclic low-density parity-check codes
US8484545B2 (en) 2009-04-23 2013-07-09 Georgia Tech Research Corporation Secure communication using error correction codes
US8832520B2 (en) 2011-11-29 2014-09-09 California Institute Of Technology High order modulation protograph codes

Patent Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1770640A (zh) * 2004-11-04 2006-05-10 中兴通讯股份有限公司 一种低密度奇偶校验码的编码器/译码器及其生成方法
CN101427473A (zh) * 2006-06-07 2009-05-06 Lg电子株式会社 使用低密度校验码矩阵进行编码/解码的方法

Non-Patent Citations (4)

* Cited by examiner, † Cited by third party
Title
Lowering the Error Floor of LDPC Codes Using Cyclic Liftings;Reza Asvadi et al.;《IEEE TRANSACTIONS ON INFORMATION THEORY》;20110430;第57卷(第4期);全文 *
On the Girth of Quasi Cycilc Protograph LDPC Codes;Mehdi Karimi and Amir H.Banihashemi;《2012 IEEE International Symposium on Information Theory Proceedings》;20120706;全文 *
基于陪集的拟循环LDPC码构造;陈鹏程;《计算机工程》;20091231;第35卷(第24期);全文 *
基于马尔可夫的LDPC码围长检测研究;陈石平;《桂林电子科技大学学报》;20071031;第27卷(第5期);全文 *

Also Published As

Publication number Publication date
WO2014127140A1 (en) 2014-08-21
EP2957038B1 (en) 2020-06-10
JP5976960B2 (ja) 2016-08-24
KR101662747B1 (ko) 2016-10-06
JP6542132B2 (ja) 2019-07-10
JP2016507200A (ja) 2016-03-07
BR112015019409A2 (pt) 2017-07-18
CN104981978B (zh) 2017-12-08
US20140229788A1 (en) 2014-08-14
CN104981978A (zh) 2015-10-14
EP2957037A1 (en) 2015-12-23
JP2016510185A (ja) 2016-04-04
CN105075128A (zh) 2015-11-18
KR20150118993A (ko) 2015-10-23
US20140229789A1 (en) 2014-08-14
KR102142142B1 (ko) 2020-08-06
WO2014127129A1 (en) 2014-08-21
KR20150118992A (ko) 2015-10-23
BR112015019409B1 (pt) 2022-01-11
US9306601B2 (en) 2016-04-05
EP2957038A1 (en) 2015-12-23

Similar Documents

Publication Publication Date Title
CN105075128B (zh) 用于经提升ldpc码的方法、计算机可读存储介质和设备
US11463114B2 (en) Protograph quasi-cyclic polar codes and related low-density generator matrix family
JP7152394B2 (ja) Ｌｄｐｃコードを符号化および復号化するための方法および装置
EP4231532B1 (en) Encoding method and device and decoding method and device for structured ldpc
US10320419B2 (en) Encoding method, decoding method, encoding device and decoding device for structured LDPC
KR101742451B1 (ko) 부호화 장치, 복호 장치, 부호화 방법 및 복호 방법
CN101032082A (zh) 编码和解码数据的方法和设备
WO2010004722A1 (ja) 符号化器、復号化器及び符号化方法
CN112204888B (zh) 具有高效编码和良好误码平层特性的一类qc-ldpc码
EP2890016A1 (en) Ldpc encoder and decoder
CN105164924A (zh) 10gbase-t系统中ldpc编码器的方法和装置
WO2021118395A1 (en) Spatially coupled forward error correction encoding method and device using generalized error locating codes as component codes
CN106685432A (zh) 一种基于完备循环差集的大围长Type‑II QC‑LDPC码构造方法
CN115664431A (zh) 基于嵌套结构的全局耦合低密度奇偶校验码构造系统
WO2011144161A1 (zh) 前向纠错方法、装置及系统
US8977924B2 (en) Optimized mechanism to simplify the circulant shifter and the P/Q kick out for layered LDPC decoder
WO2018126914A1 (zh) 准循环低密度奇偶校验码的编码方法及装置、存储介质
CN102136842B (zh) 一种译码器及译码方法
Mansoor et al. A Short Length Low Complexity Low Delay Recursive LDPC Code
Liu et al. FPGA implementation of the encoding and decoding of an LDPC code for deep space applications

Legal Events

Date Code Title Description
C06 Publication
PB01 Publication
C10 Entry into substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant