On the performance of single-threshold detectors for binary communications in the presence of Gaussian mixture noise
Date
2010
Authors
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Source Title
IEEE Transactions on Communications
Print ISSN
0090-6778
Electronic ISSN
Publisher
IEEE
Volume
58
Issue
11
Pages
3047 - 3053
Language
English
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Abstract
In this paper, probability of error performance of single-threshold detectors is studied for binary communications systems in the presence of Gaussian mixture noise. First, sufficient conditions are proposed to specify when the sign detector is (not) an optimal detector among all the single-threshold detectors. Then, a monotonicity property of the error probability is derived for the optimal single-threshold detector. In addition, a theoretical limit is obtained on the maximum ratio between the average probabilities of error for the sign detector and the optimal single-threshold detector. Finally, numerical examples are presented to investigate the theoretical results.