Mobility

Simplified Performance Analysis of Energy Detectors Over Myriad Fading Channels: Area Under the ROC Curve Approach

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Executive Summary

This paper investigates the energy detector's performance in myriad fading environments by exploiting a canonical series representation of the generalized Marcum Q-function (along with higher-order derivatives of the Moment Generating Function (MGF) of end-to-end Signal-to-Noise Ratio (SNR) in closed-form) or by a single integral formula involving the Cumulative Distribution Function (CDF) of the end-to-end SNR. The detection performance is characterized by the area under the Receiver Operating Characteristic (ROC) Curve (AUC), which is a simple statistical performance measuring metric that varies between 0.5 and 1.

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