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Summary: On the Feedback Capacity of a Discrete
Non-Binary Noise Channel with Memory
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-- We study the feedback capacity of a discrete binary-
input non-binary output channel with memory recently intro-
duced in [5] to model soft-decision demodulated time-correlated
fading channels. The channel, whose output process can be
explicitly expressed in terms of its binary input process and
a non-binary noise process, encompasses modulo-additive noise
binary channels as a special case (realized when hard-decision
demodulation is used on the underlying fading channel). We
show that, even though the channel has memory, feedback does
not increase its capacity when the noise process is stationary
ergodic. We also note the validity of the result for arbitrary
noise processes.
I. INTRODUCTION
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