Optimal Universal Lossless Compression with Side Information
Information Theory
2017-07-19 v1 math.IT
Abstract
This paper presents conditional versions of Lempel-Ziv (LZ) algorithm for settings where compressor and decompressor have access to the same side information. We propose a fixed-length-parsing LZ algorithm with side information, motivated by the Willems algorithm, and prove the optimality for any stationary processes. In addition, we suggest strategies to improve the algorithm which lower the data compression rate. A modification of a variable-length-parsing LZ algorithm with side information is proposed and proved to be asymptotically optimal for any stationary and ergodic processes.
Keywords
Cite
@article{arxiv.1707.05421,
title = {Optimal Universal Lossless Compression with Side Information},
author = {Yeohee Im and Sergio Verdú},
journal= {arXiv preprint arXiv:1707.05421},
year = {2017}
}
Comments
20 Pages, Submitted to IEEE Transactions on Information Theory, Part of this work was presented in ISIT '17