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Feedback Capacity of a Class of Symmetric Finite-State Markov Channels
 

Summary: Feedback Capacity of a Class of Symmetric
Finite-State Markov Channels
Nevroz S¸en, Fady Alajaji and Serdar Y¨uksel
Department of Mathematics and Statistics
Queen's University
Kingston, ON K7L 3N6, Canada
Email: nsen, fady, yuksel@mast.queensu.ca
Abstract--In this paper we consider the feedback capacity of
a class of symmetric finite-state Markov channels. For this type
of channels, symmetry is a generalized version of the symmetry
defined for discrete memoryless channels. We show that feedback
does not increase capacity for such class of finite-state channels.
We indeed demonstrate that for such channels, both non-feedback
and feedback capacities are achieved by a uniform i.i.d. input
distribution.
I. INTRODUCTION AND LITERATURE REVIEW
Although feedback does not increase the capacity of discrete
memoryless channels (DMCs) [1], it generally increases the
capacity of channels with memory and the feedback capacity
for a wide class of channels still encapsulates many open prob-

  

Source: Alajaji, Fady - Department of Mathematics and Statistics, Queen's University (Kingston)
Linder, Tamás - Department of Mathematics and Statistics, Queen's University (Kingston)

 

Collections: Engineering