In this paper, we consider the problem of spectrum sensing based on energy detection (ED) method in cognitive radio (CR) over wireless communication channels when users experiences fading and non fading effects. The closed form analytical expressions for the detection probability are derived over non fading Additive White Gaussian Noise (AWGN) channel and Nakagami-m and Nakagami-q fading channels. The detection probability involving Marcum-Q function is replaced by closed form expression. The probability distribution function (PDF) of fading channels is used to obtain the expressions for detection probability. The new derived numerical results are simulated under various parameters. The performance of the derived theoretical expressions closely matches with the simulated results.
In this study, the authors consider the problem of signal detection in cognitive radio under the cases of known and unknown noise levels. The analysis is focused on maximum eigenvalue-based method which requires the knowledge of noise variance and the ratio of maximum eigenvalue to the trace of covariance matrix. The analytical formulas are derived for threshold calculation and probability of detection for the considered methods. Performance of the considered methods is measured through simulation analysis. The performance comparison between the considered methods and other existing methods is provided. Simulations based on independent and identically distributed signals and wireless microphone signals are presented to verify the various sensing methods.
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