Browsing by Subject "Maximum a posteriori probability"

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    Detector randomization and stochastic signaling for minimum probability of error receivers
    (Institute of Electrical and Electronics Engineers, 2012) Dulek, B.; Gezici, Sinan
    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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    Optimal detector randomization in cognitive radio systems in the presence of imperfect sensing decisions
    (2014) Sezer, A. D.; Gezici, Sinan; Gursoy, M. C.
    In this study, optimal detector randomization is developed for secondary users in a cognitive radio system in the presence of imperfect spectrum sensing decisions. It is shown that the minimum average probability of error can be achieved by employing no more than four maximum a-posteriori probability (MAP) detectors at the secondary receiver. Optimal MAP detectors and generic expressions for their average probability of error are derived in the presence of possible sensing errors. Also, sufficient conditions are presented related to improvements due to optimal detector randomization.