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      Stochastic signaling in the presence of channel state information uncertainty

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      Author
      Goken, C.
      Gezici, Sinan
      Arıkan, Orhan
      Date
      2013
      Source Title
      Digital Signal Processing: A Review Journal
      Print ISSN
      1051-2004
      Publisher
      Elsevier
      Volume
      23
      Issue
      2
      Pages
      635 - 645
      Language
      English
      Type
      Article
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      Abstract
      In this paper, stochastic signaling is studied for power-constrained scalar valued binary communications systems in the presence of uncertainties in channel state information (CSI). First, stochastic signaling based on the available imperfect channel coefficient at the transmitter is analyzed, and it is shown that optimal signals can be represented by a randomization between at most two distinct signal levels for each symbol. Then, performance of stochastic signaling and conventional deterministic signaling is compared for this scenario, and sufficient conditions are derived for improvability and nonimprovability of deterministic signaling via stochastic signaling in the presence of CSI uncertainty. Furthermore, under CSI uncertainty, two different stochastic signaling strategies, namely, robust stochastic signaling and stochastic signaling with averaging, are proposed. For the robust stochastic signaling problem, sufficient conditions are derived for reducing the problem to a simpler form. It is shown that the optimal signal for each symbol can be expressed as a randomization between at most two distinct signal values for stochastic signaling with averaging, as well as for robust stochastic signaling under certain conditions. Finally, two numerical examples are presented to explore the theoretical results.
      Keywords
      Channel state information
      Minimax
      Probability of error
      Stochastic signaling
      Channel coefficient
      Communications systems
      In-channels
      Minimax
      Numerical example
      Optimal signals
      Probability of errors
      Signal level
      Signal value
      Sufficient conditions
      Theoretical result
      Channel state information
      Fading channels
      Optimization
      Random processes
      Stochastic systems
      Signaling
      Permalink
      http://hdl.handle.net/11693/21060
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/j.dsp.2012.10.004
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