Robust Classification for Imprecise Environments
Machine Learning
An introduction to ROC analysis
Pattern Recognition Letters - Special issue: ROC analysis in pattern recognition
Relay based cooperative spectrum sensing in cognitive radio networks
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
Performance of an energy detector over channels with both multipath fading and shadowing
IEEE Transactions on Wireless Communications
Sensing-Throughput Tradeoff for Cognitive Radio Networks
IEEE Transactions on Wireless Communications
Soft Combination and Detection for Cooperative Spectrum Sensing in Cognitive Radio Networks
IEEE Transactions on Wireless Communications - Part 2
Efficient evaluation of area under the ROC curve of energy detectors over fading channels
Proceedings of the 14th ACM international conference on Modeling, analysis and simulation of wireless and mobile systems
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A simple figure of merit to describe the performance of an energy detector is desirable. The area under the receiver operating characteristic (ROC) curve, denoted (AUC), is such a measure, which varies between 1/2 and 1. If the detector's performance is no better than flipping a coin, then the AUC is 1/2, and it increases to one as the detector performance improves. However, in the wireless literature, the AUC measure has gone unnoticed. In this paper, to address this gap, we comprehensively analyze the AUC of an energy detector with nodiversity reception and with several popular diversity schemes. The channel model is assumed to be Nakagami-m fading. First, the average AUC is derived for the case of no-diversity reception. Second, the average AUC is derived for diversity reception cases including maximal ratio combining (MRC), square-law combining (SLC) and selection combining (SC). Further, for Rayleigh fading channels, the impacts of channel estimation errors and fading correlations are analyzed. High SNR (signal-to-noise ratio) approximations and the detection diversity gain are also derived. The analytical results are verified by numerical computations and by Monte-Carlo simulations.