%0 Journal Article
%T Low density codes achieve the rate-distortion bound
%A Emin Martinian
%A Martin J. Wainwright
%J Mathematics
%D 2006
%I arXiv
%X We propose a new construction for low-density source codes with multiple parameters that can be tuned to optimize the performance of the code. In addition, we introduce a set of analysis techniques for deriving upper bounds for the expected distortion of our construction, as well as more general low-density constructions. We show that (with an optimal encoding algorithm) our codes achieve the rate-distortion bound for a binary symmetric source and Hamming distortion. Our methods also provide rigorous upper bounds on the minimum distortion achievable by previously proposed low-density constructions.
%U http://arxiv.org/abs/cs/0601123v1