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arXiv · 1706.06858

Intrinsic Capacity

Shengtian Yang·Rui Xu·Jun Chen·Jian-Kang Zhang
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Abstract

Every channel can be expressed as a convex combination of deterministic channels with each deterministic channel corresponding to one particular intrinsic state. Such convex combinations are in general not unique, each giving rise to a specific intrinsic-state distribution. In this paper we study the maximum and the minimum capacities of a channel when the realization of its intrinsic state is causally available at the encoder and/or the decoder. Several conclusive results are obtained for binary-input channels and binary-output channels. Byproducts of our investigation include a generalization of the Birkhoff-von Neumann theorem and a condition on the uselessness of causal state information at the encoder.

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Shengtian Yang, Rui Xu, Jun Chen, Jian-Kang Zhang. 2017-06-21. Intrinsic Capacity. https://doi.org/10.1109/tit.2018.2885324

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