On the Performance of Single-Threshold Detectors for Binary Communications in the Presence of Gaussian Mixture Noise
IEEE Transactions on Communications
3047 - 3053
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Bayram, S., & Gezici, S. (2010). On the performance of single-threshold detectors for binary communications in the presence of Gaussian mixture noise. Communications, IEEE Transactions on, 58(11), 3047-3053.
Please cite this item using this persistent URLhttp://hdl.handle.net/11693/11982
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, suffi- cient 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.