Low density codes achieve the rate-distortion bound
信息论
2007-07-13 v1 math.IT
摘要
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.
引用
@article{arxiv.cs/0601123,
title = {Low density codes achieve the rate-distortion bound},
author = {Emin Martinian and Martin J. Wainwright},
journal= {arXiv preprint arXiv:cs/0601123},
year = {2007}
}
备注
To be published in Proceedings of the Data Compression Conference; Snowbird, Utah, March 2006; 10 pages total