JPWO2007132656A1 - 誤り訂正符号化方法及び装置 - Google Patents
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- H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
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- H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
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- 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
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- 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
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- 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
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- H—ELECTRICITY
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- 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
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- H—ELECTRICITY
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Abstract
Description
でいる。
12 多項式除算・乗算ユニット
13,14,23,34,54,55,64,73 スイッチ
21,42 多項式乗算回路
22,32,43,52,62 排他的論理和回路
31,51,61 フリップ・フロップ
33,53,63 結線素子
41 多項式除算回路
44 セレクタ
45,46 入力端子
47,48 出力端子
65 シリアル/パラレル変換器
71 冗長ビット列算出装置
72 行列情報保存メモリ
81 データ送信装置
82 符号化装置
83,87 同期制御・データ変換装置
84 変調器
85 データ受信装置
86 復調器
88 復号装置
Claims (11)
- 低密度パリティ検査符号を用いる誤り訂正符号化方法であって、
m,nを正整数、rを1≦r≦mの整数、k1,k2,…,krを0≦k1,k2,…,kr≦n−1の整数として、
誤り訂正符号化すべき情報ビット列を、各々が長さnのビット列からなる(m−r)個の第1のブロックと、各々が長さk1,k2,…,krのビット列からなるr個の第2のブロックとに分割することと、
(m−r)個の前記第1のブロックに対して多項式乗算を行って長さnのr個のビット列を出力する第1の演算と、
r個の前記第2のブロックと前記第1の演算段階によるr個の演算結果とに対して多項式除算及び多項式乗算を行って、長さがそれぞれn−k1,n−k2,…,n−krである冗長ビット系列を含むビット列を出力する第2の演算と、
を有する、誤り訂正符号化方法。 - 前記第2の演算は、
長さがkrである前記第2のブロックと前記第1の演算からのr個の演算結果とに対してたかだか1回の多項式除算とたかだか(r−1)回の多項式乗算とを並列に行って、前記冗長ビット列のうちの(n−kr)ビットと(r−1)個の長さnのビット列とを出力する第1の多項式除算・乗算演算と、
pを2≦p≦rの整数として、第(p−1)の多項式除算・乗算演算から出力される(r−p+1)個の長さnのビット列と、長さがkr−p+1である前記第2のブロックとに対して、たかだか1回の多項式除算とたかだか(r−p)回の多項式乗算とを並列に行って、前記冗長ビット列のうちの(n−kr−p+1)ビットと(r−p)個の長さnのビット列とを出力する第pの多項式除算・乗算演算と、
を備える、請求項1に記載の方法。 - 前記多項式除算における除数を、多項式xn−1を1のn乗根を含む有限体の元の素体上の最小多項式の積からなる多項式で除算した商多項式とする、請求項2に記載の方法。
- 低密度パリティ検査符号を用いる誤り訂正符号化装置であって、
m,nを正整数、rを1≦r≦mの整数、k1,k2,…,krを0≦k1,k2,…,kr≦n−1の整数として、
誤り訂正符号化すべき情報ビット列を、各々が長さnのビット列からなる(m−r)個の第1のブロックと、各々が長さk1,k2,…,krのビット列からなるr個の第2のブロックとに分割する分割部と、
(m−r)個の前記第1のブロックに対して多項式乗算を行って演算結果として長さnのビット列を出力するr個の第1の演算部と、
r個の前記第2のブロックとr個の前記第1の演算部の各々から並列に入力する前記演算結果とに対して多項式除算及び多項式乗算を行って、長さがそれぞれn−k1,n−k2,…,n−krである冗長ビット系列を含むビット列を出力する第2の演算部と、
を有する、誤り訂正符号化装置。 - 前記第2の演算部は、
長さがkrである前記第2のブロックとr個の前記第1の演算部からの演算結果とに対してたかだか1個の多項式除算とたかだか(r−1)回の多項式乗算とを並列に行って、前記冗長ビット列のうちの(n−kr)ビットと(r−1)個の長さnのビット列とを出力する第1の多項式除算・乗算ユニットと、
pを2≦p≦rの整数として、第(p−1)の多項式除算・乗算ユニットから出力される(r−p+1)個の長さnのビット列と、長さがkr−p+1である前記第2のブロックとに対して、たかだか1回の多項式除算とたかだかr−p回の多項式乗算とを並列に行って、前記冗長ビット列のうちの(n−kr−p+1)ビットと(r−p)個の長さnのビット列とを出力する第pの多項式除算・乗算ユニットと、
を備える、請求項4に記載の装置。 - 前記第1の演算部は、
複数段縦続接続されたレジスタと、
前記縦続接続においてレジスタごとに当該レジスタの入力端に配置された排他的論理和回路と、を備え、
前記排他的論理和回路ごとに当該排他的論理回路の出力論理を非反転または反転とするように、所定の多項式演算に基づいて定められる結線によって前記各排他的論理回路の出力論理が設定されている、請求項4に記載の装置。 - qを1≦q≦rの整数として、第rの多項式除算・乗算ユニットは、たかだか1つの多項式除算回路と、たかだか(r−q)個の多項式乗算回路とを備える、請求項5に記載の装置。
- 前記多項式除算回路は、多項式xn−1を1のn乗根を含む有限体の元の素体上の最小多項式の積からなる多項式で除算した商多項式を除数として多項式除算を実行する回路である、請求項7に記載の装置。
- 前記第1の演算部は、
複数段縦続接続されたレジスタと、
前記縦続接続においてレジスタごとに当該レジスタの入力端に配置された排他的論理和回路と、を備え、
前記排他的論理和回路ごとに当該排他的論理回路の出力論理を非反転または反転とするように、所定の多項式演算に基づいて定められる結線によって前記各排他的論理回路の出力論理が設定されている、請求項5に記載の装置。 - 入力データを変調して送信するデータ送信装置であって、前記入力データに対して誤り訂正符号化を行う請求項4乃至9のいずれか1項に記載の装置を有するデータ送信装置。
- 入力データを変調して記録媒体に記録するデータ記憶装置であって、前記入力データに対して誤り訂正符号化を行う請求項4乃至9のいずれか1項に記載の装置を有するデータ記憶装置。
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CN (1) | CN101490963B (ja) |
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BR122019003652A8 (pt) | 2007-09-28 | 2023-01-31 | Panasonic Corp | Método de codificação, codificador estruturado para criar um código convolucional de verificação de paridade de baixa densidade e decodificador que decodifica um código convolucional de verificação de paridade de baixa densidade |
EP2191471A4 (en) | 2008-07-28 | 2013-12-18 | Agere Systems Inc | SYSTEMS AND METHODS FOR VARIABLE COMPENSATED FLIGHT HEIGHT MEASUREMENT |
US9343082B2 (en) * | 2010-03-30 | 2016-05-17 | Avago Technologies General Ip (Singapore) Pte. Ltd. | Systems and methods for detecting head contact |
RU2013146898A (ru) | 2011-03-22 | 2015-04-27 | Нек Корпорейшн | Устройство кодирования с коррекцией ошибок, способ кодирования с коррекцией ошибок и программа кодирования с коррекцией ошибок |
US8526133B2 (en) | 2011-07-19 | 2013-09-03 | Lsi Corporation | Systems and methods for user data based fly height calculation |
WO2014054283A1 (ja) * | 2012-10-05 | 2014-04-10 | パナソニック株式会社 | 符号化方法、復号方法、符号化器、及び、復号器 |
US9293164B2 (en) | 2013-05-10 | 2016-03-22 | Avago Technologies General Ip (Singapore) Pte. Ltd. | Systems and methods for energy based head contact detection |
US8937781B1 (en) | 2013-12-16 | 2015-01-20 | Lsi Corporation | Constant false alarm resonance detector |
US9129632B1 (en) | 2014-10-27 | 2015-09-08 | Avago Technologies General Ip (Singapore) Pte. Ltd. | Loop pulse estimation-based fly height detector |
RU2639661C1 (ru) * | 2016-09-02 | 2017-12-21 | Акционерное общество "Калужский научно-исследовательский институт телемеханических устройств" | Способ умножения и деления элементов конечных полей |
WO2018218466A1 (zh) | 2017-05-28 | 2018-12-06 | 华为技术有限公司 | 信息处理的方法和通信装置 |
EP3624350A4 (en) * | 2017-06-03 | 2020-06-17 | Huawei Technologies Co., Ltd. | INFORMATION PROCESSING PROCESS AND COMMUNICATION DEVICE |
RU2659025C1 (ru) * | 2017-06-14 | 2018-06-26 | Общество с ограниченной ответственностью "ЛЭНДИГРАД" | Способы кодирования и декодирования информации |
JP7004008B2 (ja) | 2017-12-27 | 2022-01-21 | 日本電気株式会社 | 通信路分極を用いた誤り訂正符号化方法および装置、復号方法および装置 |
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JP4045872B2 (ja) * | 2001-07-18 | 2008-02-13 | ソニー株式会社 | 符号化方法および符号化装置 |
US7162684B2 (en) * | 2003-01-27 | 2007-01-09 | Texas Instruments Incorporated | Efficient encoder for low-density-parity-check codes |
US7865806B2 (en) * | 2006-03-03 | 2011-01-04 | Peter Lablans | Methods and apparatus in finite field polynomial implementations |
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DE602005007320D1 (de) * | 2005-02-22 | 2008-07-17 | Lucent Technologies Inc | Vorgehensweise und Apparat zur Encodierung von Low-Density Parity-Check (LDPC) Codes |
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CN101490963B (zh) | 2013-11-06 |
JP4978625B2 (ja) | 2012-07-18 |
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EP2031759B1 (en) | 2014-07-30 |
WO2007132656A1 (ja) | 2007-11-22 |
RU2408979C2 (ru) | 2011-01-10 |
EP2031759A4 (en) | 2012-07-04 |
EP2031759A1 (en) | 2009-03-04 |
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US8205142B2 (en) | 2012-06-19 |
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