Computationally tractable model of energy detection performance over slow fading channels

Authors:
Hongjian Sun;David I. Laurenson;Cheng-Xiang Wang
Affiliations:
Institute for Digital Communication and Joint Research Institute for Signal and Image Processing, University of Edinburgh, Edinburgh, UK;Institute for Digital Communication and Joint Research Institute for Signal and Image Processing, University of Edinburgh, Edinburgh, UK;Joint Research Institute for Signal and Image Processing, School of Engineering and Physical Sciences, Heriot-Watt University, Edinburgh, UK
Venue:
IEEE Communications Letters
Year:
2010

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Abstract

Energy detection (ED) has been widely used for detecting unknown deterministic signals in many wireless communication applications, e.g., cognitive radio, and ultra-wideband (UWB). However, the performance analysis of ED over slow fading channels is cumbersome, because it is difficult to derive closed-form expressions for the average probability of detection involving the generalised Marcum Q-function and the log-normal distribution. In this letter, we derive an approximation of the average probability of detection over a slow fading channel by replacing the log-normal distribution with a Wald distribution. In addition, we analyze the detection performance of the ED using a square-law combining scheme over multiple independent and identically distributed slow fading channels.