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      Optimum power randomization for the minimization of outage probability

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      Author
      Dulek, B.
      Vanli, N. D.
      Gezici, Sinan
      Varshney P. K.
      Date
      2013
      Source Title
      IEEE Transactions on Wireless Communications
      Print ISSN
      1536-1276
      Publisher
      IEEE
      Volume
      12
      Issue
      9
      Pages
      4627 - 4637
      Language
      English
      Type
      Article
      Item Usage Stats
      140
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      99
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      Abstract
      The optimum power randomization problem is studied to minimize outage probability in flat block-fading Gaussian channels under an average transmit power constraint and in the presence of channel distribution information at the transmitter. When the probability density function of the channel power gain is continuously differentiable with a finite second moment, it is shown that the outage probability curve is a nonincreasing function of the normalized transmit power with at least one inflection point and the total number of inflection points is odd. Based on this result, it is proved that the optimum power transmission strategy involves randomization between at most two power levels. In the case of a single inflection point, the optimum strategy simplifies to on-off signaling for weak transmitters. Through analytical and numerical discussions, it is shown that the proposed framework can be adapted to a wide variety of scenarios including log-normal shadowing, diversity combining over Rayleigh fading channels, Nakagami-m fading, spectrum sharing, and jamming applications. We also show that power randomization does not necessarily improve the outage performance when the finite second moment assumption is violated by the power distribution of the fading. © 2013 IEEE.
      Keywords
      Power randomization
      Channel distribution information at the transmitters
      Continuously differentiable
      Outage probability
      Power randomization
      Randomization problems
      Transmission strategies
      Wireless communications
      Jamming
      Probability density function
      Random processes
      Rayleigh fading
      Telecommunication
      Wireless telecommunication systems
      Outages
      Permalink
      http://hdl.handle.net/11693/27987
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/TWC.2013.072513.121945
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      • Department of Electrical and Electronics Engineering 3601
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