Presentation 2009-03-09
Error-Trellis State Complexity of LDPC Convolutional Codes Based on Circulant Matrices
Masato TAJIMA, Koji OKINO, Takashi MIYAGOSHI,
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Abstract(in English) Let H(D) be the parity-check matrix of an LDPC convolutional code corresponding to the parity-check matrix H of a quasi-cyclic (QC) code obtained using the method of Tanner et al. We see that the entries in H(D) are all monomials and several rows (columns) have monomial factors. Let us cyclically shift the rows of H. Then the parity-check matrix H'(D) corresponding to the modified matrix H' defines another convolutional code. However, its free distance is lower-bounded by the minimum distance of the original QC code. Also, each row (column) of H'(D) has a factor different from the one in H(D). Noting these facts, we show that the state-space complexity of the error-trellis associated with H'(D) can be significantly reduced by controlling the row shifts applied to H with the error-correcting capability being preserved.
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Keyword(in English) circulant matrices / QC codes / LDPC convolutional codes / error-trellis / state complexity
Paper # IT2008-61,ISEC2008-119,WBS2008-74
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Committee WBS
Conference Date 2009/3/2(1days)
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Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Error-Trellis State Complexity of LDPC Convolutional Codes Based on Circulant Matrices
Sub Title (in English)
Keyword(1) circulant matrices
Keyword(2) QC codes
Keyword(3) LDPC convolutional codes
Keyword(4) error-trellis
Keyword(5) state complexity
1st Author's Name Masato TAJIMA
1st Author's Affiliation Graduate School of Science and Engineering, University of Toyama()
2nd Author's Name Koji OKINO
2nd Author's Affiliation Information Technology Center, University of Toyama
3rd Author's Name Takashi MIYAGOSHI
3rd Author's Affiliation Graduate School of Science and Engineering, University of Toyama
Date 2009-03-09
Paper # IT2008-61,ISEC2008-119,WBS2008-74
Volume (vol) vol.108
Number (no) 474
Page pp.pp.-
#Pages 8
Date of Issue