Vector Gaussian Rate-Distortion with Variable Side Information
Abstract
We consider rate-distortion with two decoders, each with distinct side information. This problem is well understood when the side information at the decoders satisfies a certain degradedness condition. We consider cases in which this degradedness condition is violated but the source and the side information consist of jointly Gaussian vectors. We provide a hierarchy of four lower bounds on the optimal rate. These bounds are then used to determine the optimal rate for several classes of instances.
Keywords
Cite
@article{arxiv.1612.03455,
title = {Vector Gaussian Rate-Distortion with Variable Side Information},
author = {Sinem Unal and Aaron B. Wagner},
journal= {arXiv preprint arXiv:1612.03455},
year = {2016}
}
Comments
Presented in parts at the IEEE Int. Symposium on Information Theory (ISIT), Hawaii, July 2014, the Information Theory and Applications Workshop, Jan./Feb. 2016, and the Conference on Information Sciences and Systems (CISS), Princeton, March 2016. Submitted to IEEE Transactions on Information Theory