Zero-error feedback capacity of channels with state information via dynamic programming

  • Authors:
  • Lei Zhao;Haim H. Permuter

  • Affiliations:
  • Department of Electrical Engineering, Stanford University, Stanford, CA;Department of Electrical and Computer Engineering, Department, Ben-Gurion University of the Negev, Beer-Sheva, Israel

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2010

Quantified Score

Hi-index 754.84

Visualization

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.