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      • Department of Electrical and Electronics Engineering
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      Detector randomization and stochastic signaling for minimum probability of error receivers

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      Author
      Dulek, B.
      Gezici, Sinan
      Date
      2012
      Source Title
      IEEE Transactions on Communications
      Print ISSN
      0090-6778
      Publisher
      Institute of Electrical and Electronics Engineers
      Volume
      60
      Issue
      4
      Pages
      923 - 928
      Language
      English
      Type
      Article
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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.
      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
      Permalink
      http://hdl.handle.net/11693/21511
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/TCOMM.2012.020912.110045
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      • Department of Electrical and Electronics Engineering 3524
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