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      Optimal stochastic signaling for power-constrained binary communications systems

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      Author
      Goken, C.
      Gezici, Sinan
      Arıkan, Orhan
      Date
      2010
      Source Title
      IEEE Transactions on Wireless Communications
      Print ISSN
      1536-1276
      Publisher
      IEEE
      Volume
      9
      Issue
      12
      Pages
      3650 - 3661
      Language
      English
      Type
      Article
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      Abstract
      Optimal stochastic signaling is studied under second and fourth moment constraints for the detection of scalar-valued binary signals in additive noise channels. Sufficient conditions are obtained to specify when the use of stochastic signals instead of deterministic ones can or cannot improve the error performance of a given binary communications system. Also, statistical characterization of optimal signals is presented, and it is shown that an optimal stochastic signal can be represented by a randomization of at most three different signal levels. In addition, the power constraints achieved by optimal stochastic signals are specified under various conditions. Furthermore, two approaches for solving the optimal stochastic signaling problem are proposed; one based on particle swarm optimization (PSO) and the other based on convex relaxation of the original optimization problem. Finally, simulations are performed to investigate the theoretical results, and extensions of the results to M-ary communications systems and to other criteria than the average probability of error are discussed.
      Keywords
      Additive noise channels
      Binary communications
      Detection
      Optimization
      Probability of error
      Randomization
      Particle swarm optimization (PSO)
      Permalink
      http://hdl.handle.net/11693/22132
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/TWC.20http://dx.doi.org/10.101810.090902
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      • Department of Electrical and Electronics Engineering 3524
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