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Low density codes achieve the rate-distortion bound

2006/01/30 by Emin Martinian, Martin J. Wainwright, Martinian, Emin +1
Computer Science · Mathematics · #FOS: Computer and information sciences #Information Theory (cs.IT) #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.cs/0601123

To be published in Proceedings of the Data Compression Conference; Snowbird, Utah, March 2006; 10 pages total

arxiv created 2006/01/30 · arxiv updated 2009/12/01

Abstract

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.

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