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arXiv · 0810.5308

Typical Performance of Irregular Low-Density Generator-Matrix Codes for Lossy Compression

Kazushi Mimura
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Abstract

We evaluate typical performance of irregular low-density generator-matrix (LDGM) codes, which is defined by sparse matrices with arbitrary irregular bit degree distribution and arbitrary check degree distribution, for lossy compression. We apply the replica method under one-step replica symmetry breaking (1RSB) ansatz to this problem.

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Kazushi Mimura. 2009-02-16. Typical Performance of Irregular Low-Density Generator-Matrix Codes for Lossy Compression. https://doi.org/10.1088/1751-8113%2F42%2F13%2F135002

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