Spectrum Sensing with Multiple Primary Users over Fading Channels
Alexandros-Apostolos A. Boulogeorgos, Nestor D. Chatzidiamantis, and, George K. Karagiannidis

TL;DR
This paper derives new formulas for energy detector performance in spectrum sensing with multiple primary users over Nakagami-m fading channels, highlighting the importance of environmental factors in detection accuracy.
Contribution
It provides novel closed-form expressions for false-alarm and detection probabilities considering multiple PUs and fading, enhancing spectrum sensing analysis.
Findings
Closed-form expressions for detection probabilities
Impact of fading on spectrum sensing performance
Guidelines for ED threshold selection
Abstract
We investigate the impact of multiple primary users (PUs) and fading on the spectrum sensing of a classical energy detector (ED). Specifically, we present novel closed-form expressions for the false-alarm and detection probabilities in a multiple PUs environment, assuming Nakagami-m fading and complex Gaussian PUs transmitted signals. The results reveal the importance of taking into consideration the wireless environment, when evaluating the ED spectrum sensing performance and selecting the ED threshold.
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