On the Approximate Analysis of Energy Detection over n*Rayleigh Fading Channels through Cooperative Spectrum Sensing
Yahia Alghorani, Georges Kaddoum, Sami Muhaidat, and Samuel Pierre

TL;DR
This paper derives tight approximations for energy detection probability in intervehicular communication over cascaded Rayleigh channels, analyzing the impact of diversity schemes and cooperative sensing on detection reliability.
Contribution
It introduces novel analytical approximations for detection probability in cascaded Rayleigh fading channels and evaluates the benefits of cooperative spectrum sensing with diversity schemes.
Findings
Detection probability decreases with higher fading severity n.
MRC diversity improves detection reliability.
Cooperative sensing enhances performance even with imperfect channels.
Abstract
In this letter, we consider the problem of energy detection of unknown signals in an intervehicular communication (IVC) system over n*Rayleigh fading channels (also known as cascaded Rayleigh). Novel tight approximations for the probability of detection are derived for the no-diversity and the maximum ratio combining (MRC)) diversity schemes. Moreover, we investigate the system performance when cooperative spectrum sensing (CSS) is considered with and without imperfect reporting channels. The analytical results show that the detection reliability is decreased as the fading severity parameter n increases but reliability is substantially improved when CSS employs MRC schemes.
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