Optimal power allocation for average detection probability criterion over flat fading channels
Author
Sarıtaş, S.
Dulek, B.
Sezer, A. D.
Gezici, S.
Yüksel S.
Date
2017Source 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
ArticleItem Usage Stats
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Show full item recordAbstract
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.