WO1995023384A3 - Error correctable data transmission method and device based on semi-cyclic codes - Google Patents

Error correctable data transmission method and device based on semi-cyclic codes Download PDF

Info

Publication number
WO1995023384A3
WO1995023384A3 PCT/IB1995/000100 IB9500100W WO9523384A3 WO 1995023384 A3 WO1995023384 A3 WO 1995023384A3 IB 9500100 W IB9500100 W IB 9500100W WO 9523384 A3 WO9523384 A3 WO 9523384A3
Authority
WO
WIPO (PCT)
Prior art keywords
symbols
check
semi
block
arranging state
Prior art date
Application number
PCT/IB1995/000100
Other languages
French (fr)
Other versions
WO1995023384A2 (en
Inventor
Constant Paul Marie Joz Baggen
Ludovicus Marinus Ge Tolhuizen
Original Assignee
Philips Electronics Nv
Philips Norden Ab
Constant Paul Marie Joz Baggen
Ludovicus Marinus Ge Tolhuizen
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 Philips Electronics Nv, Philips Norden Ab, Constant Paul Marie Joz Baggen, Ludovicus Marinus Ge Tolhuizen filed Critical Philips Electronics Nv
Priority to US08/535,155 priority Critical patent/US5872798A/en
Priority to AU15448/95A priority patent/AU1544895A/en
Priority to CN95190236A priority patent/CN1126005A/en
Priority to EP95907126A priority patent/EP0698269A1/en
Priority to KR1019950704557A priority patent/KR960702131A/en
Priority to JP7522232A priority patent/JPH08509351A/en
Publication of WO1995023384A2 publication Critical patent/WO1995023384A2/en
Publication of WO1995023384A3 publication Critical patent/WO1995023384A3/en

Links

Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06K—GRAPHICAL DATA READING; PRESENTATION OF DATA; RECORD CARRIERS; HANDLING RECORD CARRIERS
    • G06K19/00—Record carriers for use with machines and with at least a part designed to carry digital markings
    • G06K19/06—Record carriers for use with machines and with at least a part designed to carry digital markings characterised by the kind of the digital marking, e.g. shape, nature, code
    • G—PHYSICS
    • G11—INFORMATION STORAGE
    • G11B—INFORMATION STORAGE BASED ON RELATIVE MOVEMENT BETWEEN RECORD CARRIER AND TRANSDUCER
    • G11B20/00—Signal processing not specific to the method of recording or reproducing; Circuits therefor
    • G11B20/10—Digital recording or reproducing
    • G11B20/18—Error detection or correction; Testing, e.g. of drop-outs
    • G11B20/1833—Error detection or correction; Testing, e.g. of drop-outs by adding special lists or symbols to the coded information
    • G—PHYSICS
    • G11—INFORMATION STORAGE
    • G11B—INFORMATION STORAGE BASED ON RELATIVE MOVEMENT BETWEEN RECORD CARRIER AND TRANSDUCER
    • G11B20/00—Signal processing not specific to the method of recording or reproducing; Circuits therefor
    • G11B20/10—Digital recording or reproducing
    • G11B20/18—Error detection or correction; Testing, e.g. of drop-outs
    • G11B20/1866—Error detection or correction; Testing, e.g. of drop-outs by interleaving
    • 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
    • H03M13/15—Cyclic codes, i.e. cyclic shifts of codewords produce other codewords, e.g. codes defined by a generator polynomial, Bose-Chaudhuri-Hocquenghem [BCH] codes
    • H03M13/151—Cyclic codes, i.e. cyclic shifts of codewords produce other codewords, e.g. codes defined by a generator polynomial, Bose-Chaudhuri-Hocquenghem [BCH] codes using error location or error correction polynomials
    • H03M13/1515—Reed-Solomon 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
    • H03M13/27—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 using interleaving techniques
    • 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
    • H03M13/29—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 combining two or more codes or code structures, e.g. product codes, generalised product codes, concatenated codes, inner and outer 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
    • H03M13/29—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 combining two or more codes or code structures, e.g. product codes, generalised product codes, concatenated codes, inner and outer codes
    • H03M13/2903—Methods and arrangements specifically for encoding, e.g. parallel encoding of a plurality of constituent 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
    • H03M13/29—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 combining two or more codes or code structures, e.g. product codes, generalised product codes, concatenated codes, inner and outer codes
    • H03M13/2906—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 combining two or more codes or code structures, e.g. product codes, generalised product codes, concatenated codes, inner and outer codes using block codes
    • H03M13/2921—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 combining two or more codes or code structures, e.g. product codes, generalised product codes, concatenated codes, inner and outer codes using block codes wherein error correction coding involves a diagonal direction
    • 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
    • H03M13/29—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 combining two or more codes or code structures, e.g. product codes, generalised product codes, concatenated codes, inner and outer codes
    • H03M13/2906—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 combining two or more codes or code structures, e.g. product codes, generalised product codes, concatenated codes, inner and outer codes using block codes
    • H03M13/2927—Decoding strategies
    • H03M13/293—Decoding strategies with erasure setting
    • 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
    • H04L1/0045—Arrangements at the receiver 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
    • 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
    • H04L1/0064—Concatenated codes
    • H04L1/0065—Serial concatenated codes
    • 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
    • H04L1/007—Unequal error protection
    • 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
    • H04L1/0071—Use of interleaving
    • G—PHYSICS
    • G11—INFORMATION STORAGE
    • G11B—INFORMATION STORAGE BASED ON RELATIVE MOVEMENT BETWEEN RECORD CARRIER AND TRANSDUCER
    • G11B20/00—Signal processing not specific to the method of recording or reproducing; Circuits therefor
    • G11B20/10—Digital recording or reproducing
    • G11B20/18—Error detection or correction; Testing, e.g. of drop-outs
    • G11B20/1833—Error detection or correction; Testing, e.g. of drop-outs by adding special lists or symbols to the coded information
    • G11B2020/1836—Error detection or correction; Testing, e.g. of drop-outs by adding special lists or symbols to the coded information using a Reed Solomon [RS] code

Abstract

A digital signal is transmitted as a plurality of (s) sequences of information symbols of uniform bit length. Each sequence occurs in a respective input channel, check words being included in the transmission through encoding. A first block of symbols, one from each input channel, is applied in a first arrangement state to a first error correcting encoder to generate a series of (p) first check symbols. Next, each symbol in the first block and each of the (p) first check symbols is delayed by a respective different delay so as to obtain a second block of symbols in a second arranging state for supply to a second error-correcting encoder. This generates a series of (q) second check symbols for transmission. First and second check symbols are generated to satisfy a respective parity check matrix with (s+p+q) columns and (p) and (q) rows respectively, of semi-cyclic codes. The delay puts adjacent symbols of the first arranging state into adjacent instances of the second arranging state and the (q) second check symbols are retro-coupled into the first encoder in accordance with the first arranging state.
PCT/IB1995/000100 1994-02-16 1995-02-14 Error correctable data transmission method and device based on semi-cyclic codes WO1995023384A2 (en)

Priority Applications (6)

Application Number Priority Date Filing Date Title
US08/535,155 US5872798A (en) 1994-02-16 1995-02-14 Error correctable data transmission method and device based on semi-cyclic codes
AU15448/95A AU1544895A (en) 1994-02-16 1995-02-14 Error correctable data transmission method and device based on semi-cyclic codes
CN95190236A CN1126005A (en) 1994-02-16 1995-02-14 Error correctable data transmission method and device based on semi-cyclic codes
EP95907126A EP0698269A1 (en) 1994-02-16 1995-02-14 Error correctable data transmission method and device based on semi-cyclic codes
KR1019950704557A KR960702131A (en) 1994-02-16 1995-02-14 Error correctable data transmission method and device based on semi-cyclic codes
JP7522232A JPH08509351A (en) 1994-02-16 1995-02-14 Method and apparatus for error-correctable data transmission based on semi-cyclic code

Applications Claiming Priority (11)

Application Number Priority Date Filing Date Title
EP94200336 1994-02-16
EP94200336.9 1994-02-16
EP94200452 1994-02-23
EP94200452.4 1994-02-23
EP94200703.0 1994-03-21
EP94200703 1994-03-21
EP94201824 1994-06-24
EP94201824.3 1994-06-24
US30400094A 1994-09-09 1994-09-09
EP94203394 1994-11-22
EP94203394.5 1994-11-22

Publications (2)

Publication Number Publication Date
WO1995023384A2 WO1995023384A2 (en) 1995-08-31
WO1995023384A3 true WO1995023384A3 (en) 1995-10-19

Family

ID=27514155

Family Applications (1)

Application Number Title Priority Date Filing Date
PCT/IB1995/000100 WO1995023384A2 (en) 1994-02-16 1995-02-14 Error correctable data transmission method and device based on semi-cyclic codes

Country Status (7)

Country Link
EP (1) EP0698269A1 (en)
JP (1) JPH08509351A (en)
KR (1) KR960702131A (en)
CN (1) CN1126005A (en)
AU (1) AU1544895A (en)
TW (1) TW257907B (en)
WO (1) WO1995023384A2 (en)

Families Citing this family (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH11510945A (en) * 1996-06-13 1999-09-21 フィリップス エレクトロニクス ネムローゼ フェンノートシャップ Method and apparatus for track-wise burst error correction in a multi-track storage format
JPH1074613A (en) 1996-08-30 1998-03-17 Tokin Corp Tape, adhesive tape and self-fusion tape
US6725412B1 (en) * 2000-08-15 2004-04-20 Dolby Laboratories Licensing Corporation Low latency data encoder
KR100602027B1 (en) * 2002-07-03 2006-07-19 휴우즈 일렉트로닉스 코오포레이션 Bit-interleaved coded modulation using low density parity check ldpc codes
US7418644B2 (en) * 2004-03-01 2008-08-26 Hewlett-Packard Development Company, L.P. System for error correction coding and decoding

Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US4750178A (en) * 1985-04-13 1988-06-07 Sony Corporation Error correction method
US4998252A (en) * 1987-08-06 1991-03-05 Sony Corporation Method and apparatus for transmitting digital data
US5224106A (en) * 1990-05-09 1993-06-29 Digital Equipment Corporation Multi-level error correction system
US5325371A (en) * 1990-08-24 1994-06-28 Sony Corporation Coding/decoding apparatus

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US4750178A (en) * 1985-04-13 1988-06-07 Sony Corporation Error correction method
US4998252A (en) * 1987-08-06 1991-03-05 Sony Corporation Method and apparatus for transmitting digital data
US5224106A (en) * 1990-05-09 1993-06-29 Digital Equipment Corporation Multi-level error correction system
US5325371A (en) * 1990-08-24 1994-06-28 Sony Corporation Coding/decoding apparatus

Also Published As

Publication number Publication date
CN1126005A (en) 1996-07-03
TW257907B (en) 1995-09-21
AU1544895A (en) 1995-09-11
KR960702131A (en) 1996-03-28
JPH08509351A (en) 1996-10-01
EP0698269A1 (en) 1996-02-28
WO1995023384A2 (en) 1995-08-31

Similar Documents

Publication Publication Date Title
US7103830B1 (en) DC balanced error correction coding
US6658605B1 (en) Multiple coding method and apparatus, multiple decoding method and apparatus, and information transmission system
US8201048B2 (en) Method for a general near optimal turbo code trellis termination
US5983388A (en) Forward error correction arrangement (FEC) for multipoint to single point communication systems
EP0681373B1 (en) Convolutional interleaver with reduced memory requirements and address generator therefor
JP3274627B2 (en) Method for encoding a stream of input signals and method for generating an output signal stream
WO2002013449A3 (en) Apparatus and method for providing turbo code interleaving in a communications system
EP2136473A3 (en) Method and system for transmitting and receiving information using chain reaction codes
KR960705437A (en) MULTIIRATE SERIAL VITERBI DECODER FOR CODE DIVISION MULTIPLE ACCESS SYSTEM APPLICATIONS
RU2008152401A (en) MOVING DEVICE AND RECEIVER FOR SIGNAL FORMED BY MOVING DEVICE
CA2171886A1 (en) Bar Code Encoding System Using Four-State Codes
GB0210604D0 (en) Method and arrangement for data compression
US6081921A (en) Bit insertion approach to convolutional encoding
CA2431698A1 (en) Method and system for allocating convolutional encoded bits into symbols before modulation
US5473620A (en) Programmable redundancy/syndrome generator
WO1995023384A3 (en) Error correctable data transmission method and device based on semi-cyclic codes
US3235661A (en) Communications and data processing equipment
KR960006313A (en) Transmission mode and transmission device
JP3279624B2 (en) 1-bit error correction circuit based on CRC operation
EP1529344A2 (en) Method of first interleavering of a two interleaver transmitter
US5124992A (en) Error correcting encoder/decoder for a digital transmission installation
RU2251210C1 (en) Noise-immune cyclic code codec
KR20080052832A (en) Method and apparatus for quasi-cyclic ldpc coding
US6829742B1 (en) Coding method and coding apparatus for coding a serial data stream
GB9313412D0 (en) Digital signal comparsion circuitry

Legal Events

Date Code Title Description
WWE Wipo information: entry into national phase

Ref document number: 95190236.9

Country of ref document: CN

AK Designated states

Kind code of ref document: A2

Designated state(s): AU BG BR CA CN CZ FI HU JP KR MX NO PL RO RU US

AL Designated countries for regional patents

Kind code of ref document: A2

Designated state(s): AT BE CH DE DK ES FR GB GR IE IT LU MC NL PT SE

WWE Wipo information: entry into national phase

Ref document number: 1995907126

Country of ref document: EP

WWE Wipo information: entry into national phase

Ref document number: 08535155

Country of ref document: US

AK Designated states

Kind code of ref document: A3

Designated state(s): AU BG BR CA CN CZ FI HU JP KR MX NO PL RO RU US

AL Designated countries for regional patents

Kind code of ref document: A3

Designated state(s): AT BE CH DE DK ES FR GB GR IE IT LU MC NL PT SE

121 Ep: the epo has been informed by wipo that ep was designated in this application
WWP Wipo information: published in national office

Ref document number: 1995907126

Country of ref document: EP

NENP Non-entry into the national phase

Ref country code: CA

WWW Wipo information: withdrawn in national office

Ref document number: 1995907126

Country of ref document: EP