Zero-error feedback capacity via dynamic programming

Lei Zhao; Haim Permuter

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arXiv · 0907.1956

Zero-error feedback capacity via dynamic programming

Lei Zhao·Haim Permuter

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Abstract

In this paper, we study the zero-error capacity for finite state channels with feedback when channel state information is known to both the transmitter and the receiver. We prove that the zero-error capacity in this case can be obtained through the solution of a dynamic programming problem. Each iteration of the dynamic programming provides lower and upper bounds on the zero-error capacity, and in the limit, the lower bound coincides with the zero-error feedback capacity. Furthermore, a sufficient condition for solving the dynamic programming problem is provided through a fixed-point equation. Analytical solutions for several examples are provided.

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BibTeX RIS

Lei Zhao, Haim Permuter. 2009-07-11. Zero-error feedback capacity via dynamic programming. https://arxiv.org/abs/0907.1956

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