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      • Department of Electrical and Electronics Engineering
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      Convexity properties of outage probability under Rayleigh fading

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      Author
      Dülek, Berkan
      Vanlı, N. Denizcan
      Gezici, Sinan
      Date
      2012
      Source Title
      2012 20th Signal Processing and Communications Applications Conference (SIU)
      Publisher
      IEEE
      Language
      Turkish
      Type
      Conference Paper
      Item Usage Stats
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      Abstract
      In this paper, convexity properties of outage probability are investigated under Rayleigh fading for an average power-constrained communications system that employs maximal-ratio combining (MRC) at the receiver. By studying the first and second order derivatives of the outage probability with respect to the transmitted signal power, it is found out that the outage probability is a monotonically decreasing function with a single inflection point. This observation suggests the possibility of improving the outage performance via on-off type power randomization/sharing under stringent average transmit power constraints. It is shown that the results can also be extended to the selection combining (SC) technique in a straightforward manner. Finally, a numerical example is provided to illustrate the theoretical results. © 2012 IEEE.
      Keywords
      Communications systems
      Convexity properties
      Decreasing functions
      Inflection points
      Maximal ratio combining (MRC)
      Numerical example
      Outage performance
      Outage probability
      Rayleigh
      Second order derivatives
      Selection combining
      Theoretical result
      Transmit power
      Transmitted signal
      Probability
      Rayleigh fading
      Signal processing
      Outages
      Permalink
      http://hdl.handle.net/11693/28210
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/SIU.2012.6204487
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      • Department of Electrical and Electronics Engineering 3597
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