A Formula for the Capacity of the General Gel'fand-Pinsker Channel

Vincent Y. F. Tan

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arXiv · 1210.1091

A Formula for the Capacity of the General Gel'fand-Pinsker Channel

Vincent Y. F. Tan

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Abstract

We consider the Gel'fand-Pinsker problem in which the channel and state are general, i.e., possibly non-stationary, non-memoryless and non-ergodic. Using the information spectrum method and a non-trivial modification of the piggyback coding lemma by Wyner, we prove that the capacity can be expressed as an optimization over the difference of a spectral inf- and a spectral sup-mutual information rate. We consider various specializations including the case where the channel and state are memoryless but not necessarily stationary.

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Vincent Y. F. Tan. 2014-04-16. A Formula for the Capacity of the General Gel'fand-Pinsker Channel. https://arxiv.org/abs/1210.1091

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