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      Optimal power allocation for average detection probability criterion over flat fading channels

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      Author
      Sarıtaş, S.
      Dulek, B.
      Sezer, A. D.
      Gezici, S.
      Yüksel S.
      Date
      2017
      Source Title
      IEEE Transactions on Signal Processing
      Print ISSN
      1053-587X
      Publisher
      Institute of Electrical and Electronics Engineers Inc.
      Volume
      65
      Issue
      6
      Pages
      1383 - 1398
      Language
      English
      Type
      Article
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      Abstract
      In this paper, the problem of optimal power allocation over flat fading additive white Gaussian noise channels is considered for maximizing the average detection probability of a signal emitted from a power constrained transmitter in the Neyman-Pearson framework. It is assumed that the transmitter can perform power adaptation under peak and average power constraints based on the channel state information fed back by the receiver. Using results from measure theory and convex analysis, it is shown that this optimization problem, which is in general nonconvex, has an equivalent Lagrangian dual that admits no duality gap and can be solved using dual decomposition. Efficient numerical algorithms are proposed to determine the optimal power allocation scheme under peak and average power constraints. Furthermore, the continuity and monotonicity properties of the corresponding optimal power allocation scheme are characterized with respect to the signal-to-noise ratio for any given value of the false alarm probability. Simulation examples are presented to corroborate the theoretical results and illustrate the performance improvements due to the proposed optimal power allocation strategy.
      Keywords
      Detection probability
      Fading
      Neyman-Pearson
      Power allocation
      Power constraint
      Permalink
      http://hdl.handle.net/11693/37095
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/TSP.2016.2634552
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