English

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

Disordered Systems and Neural Networks 2009-07-16 v2 Information Theory math.IT

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.

Cite

@article{arxiv.0810.5308,
  title  = {Typical Performance of Irregular Low-Density Generator-Matrix Codes for Lossy Compression},
  author = {Kazushi Mimura},
  journal= {arXiv preprint arXiv:0810.5308},
  year   = {2009}
}

Comments

12 pages, 8 figures

R2 v1 2026-06-21T11:36:15.135Z