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Summary: FEEDBACK CAPACITY OF DISCRETE ADDITIVE CHANNELS
Fady Alajaji
Electrical Engineering Department
Institute for Systems Research
University of Maryland
College Park, MD 20742
ABSTRACT
We consider discrete channels with stationary additive
noise. We show that output feedback does not increase the
capacity of such channels. This is shown for both ergodic
and non-ergodic additive stationary channels.
1. INTRODUCTION
We consider discrete channels with stationary additive
noise. Note that such channels need not be memoryless; in
general, they have memory. The Gilbert burst-noise chan-
nel [1], as well as the Polya-contagion channel [2], belong to
the class of such channels. We assume that these channels
are each accompanied by a noiseless, delayless feedback
channel with large capacity. We show that the capacity of
the channels with feedback does not exceed their respective
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