NDLI: Asymptotic Performance of Energy Detector in Fading and Diversity Reception

Content Provider	IEEE Xplore Digital Library
Author	Sharma Banjade, V.R. Tellambura, C. Hai Jiang
Copyright Year	1972
Abstract	Missed-detection probability expressions for energy detectors often involve infinite series and do not provide quick insights into the effects of operating conditions. To overcome these limitations, we develop novel asymptotic analyses by proposing an approximate probability density function (PDF) of a random variable β, which, in general, can characterize fading channels in diverse operating conditions. The coefficients of the proposed approximate PDF of β are obtained by matching the coefficients of the approximate PDF's series expansion (or coefficients of the approximate PDF's moment generating function (MGF)) with those of the exact PDF (or MGF) of β. By using the proposed approximation, a unified closed-form asymptotic missed-detection probability is derived. Its usefulness is then demonstrated for fading channels without and with antenna diversity, for cooperative detection, and in co-channel interference. For each case, the sensing gain, which reveals the effect of the operating conditions on the detection performance, is determined explicitly. Furthermore, the asymptotic complementary area under the receiver operating characteristic curve, an alternative performance metric, is derived, and found to reveal the sensing gain. Numerical results verify the accuracy of our derived asymptotic expressions over a wider signal-to-noise ratio (SNR) range compared to the existing asymptotic solution, which is accurate only for high SNRs.
Starting Page	2031
Ending Page	2043
Page Count	13
File Size	1747731
File Format	PDF
ISSN	00906778
Volume Number	63
Issue Number	6
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Signal to noise ratio Approximation methods Fading Sensors Accuracy Gain Probability density function moment generating function Diversity combining energy detector fading false alarm probability missed-detection probability
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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