When is Noisy State Information at the Encoder as Useless as No Information or as Good as Noise-Free State?

2016/11/01 by Xu, Rui, Chen, Jun, Weissman, Tsachy +1
#FOS: Computer and information sciences #Information Theory (cs.IT)

paper · doi:10.48550/arxiv.1611.00270

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.

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