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Zero-Error Feedback Capacity of Channels With State Information Via Dynamic Programming

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2 Author(s)
Lei Zhao ; Dept. of Electr. Eng., Stanford Univ., Stanford, CA, USA ; Permuter, H.H.

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.

Published in:

Information Theory, IEEE Transactions on  (Volume:56 ,  Issue: 6 )

Date of Publication:

June 2010

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