On the optimality of stochastic signaling under an average power constraint

Date
2010-09-10
Advisor
Instructor
Source Title
48th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2010
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Electronic ISSN
Publisher
IEEE
Volume
Issue
Pages
1158 - 1164
Language
English
Type
Conference Paper
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Volume Title
Abstract

In this paper, stochastic signaling is studied for scalar valued binary communications systems over additive noise channels in the presence of an average power constraint. For a given decision rule at the receiver, the effects of using stochastic signals for each symbol instead of conventional deterministic signals are investigated. First, sufficient conditions are derived to determine the cases in which stochastic signaling can or cannot outperform the conventional signaling. Then, statistical characterization of the optimal signals is provided and it is obtained that an optimal stochastic signal can be represented by a randomization of at most two different signal levels for each symbol. In addition, via global optimization techniques, the solution of the generic optimal stochastic signaling problem is obtained, and theoretical results are investigated via numerical examples. ©2010 IEEE.

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Keywords
Additive noise channels, Global optimization, Probability of error, Stochastic signaling, Average power, Communications systems, Decision rules, Deterministic signals, Global optimization techniques, Numerical example, Optimal signals, Optimality, Signal level, Statistical characterization, Stochastic signals, Sufficient conditions, Theoretical result, Numerical analysis, Optimization, Signaling, Stochastic systems
Citation
Published Version (Please cite this version)