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

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 c...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on signal processing 2017-03, Vol.65 (6), p.1383-1398
Main Authors: Saritas, Serkan, Dulek, Berkan, Sezer, Ahmet Dundar, Gezici, Sinan, Yuksel, Serdar
Format: Article
Language:English
Subjects:
AWGN channels
Detection probability
fading
Fading channels
Neyman-Pearson
Optimization
power allocation
power constraint
Receivers
Resource management
Signal to noise ratio
Transmitters
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2016.2634552