Detector randomization and stochastic signaling for minimum probability of error receivers
IEEE Transactions on Communications
Institute of Electrical and Electronics Engineers
923 - 928
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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.
Probability of error
Average probability of error
Maximum a posteriori probability
Minimum probability of error
Probability of errors
Published Version (Please cite this version)http://dx.doi.org/10.1109/TCOMM.2012.020912.110045
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