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The correct decision in detecting the presence of the primary users is a vital requirement in cognitive radio network. Incorporation of spatial false alarm makes the derivation of probability of correct decision a difficult task. The previous literature performs the task only for the case of the received signal under Normal distribution of the fading channel. In this paper, the authors enhance the work for three small scale fading channels: Rayleigh, Rician and Nakagami-m Fading Channels to get the real scenario of a cognitive radio network in an urban area. The impact of fading parameters and sensing range on the profile of probability of correct decision is also investigated to optimize the performance of the network.
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