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Smooth compression, Gallager bound and nonlinear sparse-graph codes

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2 Author(s)
Montanari, A. ; EE & Stat. Depts., Stanford Univ., Stanford, CA ; Mossel, E.

A data compression scheme is defined to be smooth if its image (the codeword) depends gracefully on the source (the data). Smoothness is a desirable property in many practical contexts, and widely used source coding schemes lack of it. We introduce a family of smooth source codes based on sparse graph constructions, and prove them to achieve the (information theoretic) optimal compression rate for a dense set of iid sources. As a byproduct, we show how Gallager bound on sparsity can be overcome using non-linear function nodes.

Published in:

Information Theory, 2008. ISIT 2008. IEEE International Symposium on

Date of Conference:

6-11 July 2008