Detector randomization and stochastic signaling for minimum probability of error receivers
Date
2012
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Abstract
Optimal receiver design is studied for a communications system in which both detector randomization and stochastic signaling can be performed. First, it is proven that stochastic signaling without detector randomization cannot achieve a smaller average probability of error than detector randomization with deterministic signaling for the same average power constraint and noise statistics. Then, it is shown that the optimal receiver design results in a randomization between at most two maximum a-posteriori probability (MAP) detectors corresponding to two deterministic signal vectors. Numerical examples are provided to explain the results.
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IEEE Transactions on Communications
Publisher
Institute of Electrical and Electronics Engineers
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Keywords
Detector randomization, Probability of error, Stochastic signaling, Average power, Average probability of error, Communications systems, Deterministic signals, Maximum a posteriori probability, Minimum probability of error, Noise statistics, Numerical example, Optimal receiver, Probability of errors, Optimization, Signaling, Stochastic systems, Detectors
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English