Optimum power randomization for the minimization of outage probability
Author
Dulek, B.
Vanli, N. D.
Gezici, Sinan
Varshney P. K.
Date
2013Source Title
IEEE Transactions on Wireless Communications
Print ISSN
1536-1276
Publisher
IEEE
Volume
12
Issue
9
Pages
4627 - 4637
Language
English
Type
ArticleItem 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 randomizationChannel 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/11693/27987Published Version (Please cite this version)
http://dx.doi.org/10.1109/TWC.2013.072513.121945Collections
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