Gaussian State Amplification with Noisy State Observations
Information Theory
2016-11-18 v1 math.IT
Abstract
The problem of simultaneous message transmission and state amplification in a Gaussian channel with additive Gaussian state is studied when the sender has imperfect noncausal knowledge of the state sequence. Inner and outer bounds to the rate--state-distortion region are provided. The coding scheme underlying the inner bound combines analog signaling and Gelfand-Pinsker coding, where the latter deviates from the operating point of Costa's dirty paper coding.
Cite
@article{arxiv.1302.2178,
title = {Gaussian State Amplification with Noisy State Observations},
author = {Bernd Bandemer and Chao Tian and Shlomo Shamai},
journal= {arXiv preprint arXiv:1302.2178},
year = {2016}
}
Comments
5 pages, 4 figures; submitted to IEEE International Symposium on Information Theory (ISIT 2013)