Diversity of Spectrum Sensing over Frequency Selective Rayleigh Fading Channels

In cognitive radio systems, diversity of missed detection probability reflects the reliability of spectrum sensing. In this paper, we quantify the diversity order of missed detection probability over a Rayleigh frequency-selective channel with independent taps. We show that the diversity order is equal to the rank of the primary user’s code matrix. If the secondary user gets enough samples from the primary user’s signal, the spectrum sensing performance can be improved due to multipath diversity. Also our simulations approve the analytical results.