Performance of quickest spectrum sensing over various fading channels

In this paper, we study the performance of quickest spectrum sensing when the received signal experiences various fading conditions, including the time-invariant, Rayleigh, Rician, Nakagami-m and the F channel. We prove that the power of the complex received signal is a sufficient statistic and derive the probability density function of the received signal amplitude for all of these fading cases. Simulation results reveal that the sensing performance degrades with the severity of the fading as well as the level of temporal correlation. We also consider mis-matched channel conditions and show that the average detection delay depends greatly on the channel but very little on the nature of the detector.