Capacity-Achieving Discrete Signaling over Additive Noise Channels

Authors

A. Feiten, R. Mathar,

Abstract

        Discrete input distributions are capacity-achieving for a variety of
noise distributions whenever the input is subject to peak power or
other bounding constraints. In this paper, we consider additive noise
with arbitrary absolutely-continuous distribution
and ask the question what the optimal input distribution over a set
of fixed signaling points would be. The capacity-achieving distribution
is characterized by constant Kullback Leibler distance between
the shifted noise distribution and a certain mixture hereof.
As an application, the optimal input distribution for binary symmetric
signaling over exponential noise channels is determined.
It further follows that in certain symmetric cases
the uniform distribution over all signaling points is capacity-achieving.

BibTEX Reference Entry 

@inproceedings{FeMa07,
	author = {Anke Feiten and Rudolf Mathar},
	title = "Capacity-Achieving Discrete Signaling over Additive Noise Channels",
	booktitle = "{IEEE} {ICC} 2007",
	address = {Glasgow},
	month = Jun,
	year = 2007,
	}

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