CA2348700A1 - High-performance error-correcting codes with skew mapping - Google Patents

High-performance error-correcting codes with skew mapping Download PDF

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Publication number
CA2348700A1
CA2348700A1 CA002348700A CA2348700A CA2348700A1 CA 2348700 A1 CA2348700 A1 CA 2348700A1 CA 002348700 A CA002348700 A CA 002348700A CA 2348700 A CA2348700 A CA 2348700A CA 2348700 A1 CA2348700 A1 CA 2348700A1
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Prior art keywords
codes
skew
parity equations
parity
decoding
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CA002348700A
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French (fr)
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CA2348700C (en
Inventor
Andrew W. Hunt
Paul Guinand
John Lodge
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Communications Research Centre Canada
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Communications Research Centre Canada
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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
    • H03M13/27—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
    • H03M13/2742—Irregular interleaver wherein the permutation pattern is not obtained by a computation rule, e.g. interleaver based on random generators
    • 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
    • H03M13/2703—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 the interleaver involving at least two directions
    • H03M13/2721—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 the interleaver involving at least two directions the interleaver involves a diagonal direction, e.g. by using an interleaving matrix with read-out in a diagonal direction

Abstract

A method for generating new forward error correction codes, called skew codes, for the reliable transmission of data in noisy channels is disclosed. The method involves adding additional sets of parity equations across the third dimension of a cubic array of bits. The parity equations are applied to the cubic array such that the rectangular patterns of one square array do not match up with a rectangular pattern in another square array. By selecting skew mapping parameters of the parity equations from a set of quadratic residues of prime numbers according to specific design rules, the resulting codes are well suited to low-complexity high-speed iterative decoding, and have error correction performance and error detection capability, particularly for applications requiring high code rates. An improved decoding method for decoding skew codes and any code that is defined by a set of sum-to-identity parity equations initially decoded using an algorithm that provides confidence values on all the symbols at every symbol time is also disclosed. Generally, the improved decoding method will make hard decisions based upon the soft decisions passed from the failed iterative decoding system to provide a valid code word, through manipulation of the parity check matrix and reduction of its columns and rows.
CA002348700A 2000-05-26 2001-05-25 High-performance error-correcting codes with skew mapping Expired - Fee Related CA2348700C (en)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US20719500P 2000-05-26 2000-05-26
US60/207,195 2000-05-26

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CA2348700A1 true CA2348700A1 (en) 2001-11-26
CA2348700C CA2348700C (en) 2008-03-11

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CA002348941A Expired - Fee Related CA2348941C (en) 2000-05-26 2001-05-25 Method and system for high-spread high-distance interleaving for turbo-codes
CA002348700A Expired - Fee Related CA2348700C (en) 2000-05-26 2001-05-25 High-performance error-correcting codes with skew mapping

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CA002348941A Expired - Fee Related CA2348941C (en) 2000-05-26 2001-05-25 Method and system for high-spread high-distance interleaving for turbo-codes

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US (2) US6728927B2 (en)
CA (2) CA2348941C (en)

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US20020010892A1 (en) 2002-01-24
CA2348941A1 (en) 2001-11-26
US6718508B2 (en) 2004-04-06
CA2348700C (en) 2008-03-11
US6728927B2 (en) 2004-04-27
CA2348941C (en) 2008-03-18
US20020007475A1 (en) 2002-01-17

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