When is Noisy State Information at the Encoder as Useless as No Information or as Good as Noise-Free State?
Information Theory
2016-11-02 v1 math.IT
Abstract
For any binary-input channel with perfect state information at the decoder, if the mutual information between the noisy state observation at the encoder and the true channel state is below a positive threshold determined solely by the state distribution, then the capacity is the same as that with no encoder side information. A complementary phenomenon is revealed for the generalized probing capacity. Extensions beyond binary-input channels are developed.
Keywords
Cite
@article{arxiv.1611.00270,
title = {When is Noisy State Information at the Encoder as Useless as No Information or as Good as Noise-Free State?},
author = {Rui Xu and Jun Chen and Tsachy Weissman and Jian-Kang Zhang},
journal= {arXiv preprint arXiv:1611.00270},
year = {2016}
}
Comments
This paper was presented in part at the 2016 IEEE International Symposium on Information Theory. 16 pages, 8 figures