Optimal Power Allocation for Average Detection Probability Criterion Over Flat Fading Channels

Date

2017-03-01

Author

Sarıtaş, Serkan
Sezer, Ahmet Dundar
Gezici, Sinan
Yuksel, Serdar

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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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.

URI

https://hdl.handle.net/11511/94402

Journal

IEEE TRANSACTIONS ON SIGNAL PROCESSING

DOI

https://doi.org/10.1109/tsp.2016.2634552

Collections

Department of Electrical and Electronics Engineering, Article

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Citation Formats

S. Sarıtaş, A. D. Sezer, S. Gezici, and S. Yuksel, “Optimal Power Allocation for Average Detection Probability Criterion Over Flat Fading Channels,” IEEE TRANSACTIONS ON SIGNAL PROCESSING, vol. 65, no. 6, pp. 1383–1398, 2017, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/94402.