Statistical mechanics of LDPC codes on channels with memory

Details Statistical mechanics of LDPC codes on channels with memory Statistical mechanics of LDPC codes on channels with memory

2009-07-04

arxiv.org/abs/0907.0775v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 4 figures

Scientific paper

We present an analytic method of assessing the typical performance of
low-density parity-check codes on finite-state Markov channels. We show that
this problem is similar to a spin-glass model on a `small-world' lattice. We
apply our methodology to binary-symmetric and binary-asymmetric channels and we
provide the critical noise levels for different degrees of channel symmetry.

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