Modified correlation detector based spectrum sensing with Laplacian noise in cognitive radio




Cognitive radio, spectrum sensing, energy detection, receiver operating characteristic, detection probability, signal-to-noise ratio, correlation detector


In this paper, modified correlation detector based spectrum sensing technique is proposed assuming additive Laplacian noise. In the proposed modified detector, we consider a test statistic where the received signal at the cognitive terminal is correlated with primary user signal. Binary phase shift keying primary user signal is considered for simplicity. Then the received signal is raised to an arbitrary exponent P whose value ranges from 0 to 2 (0 < P < 2). Thus, the proposed detector behaves as a non-linear detector at all values of P except P = 1. At P = 1, the detector behaves as a general correlation detector or a matched filter detector. Considering the proposed test statistic, the analytical expression of detection probability and false alarm probability is derived. Performance of the proposed test statistic is presented in the form of receiver operating characteristic and detection probability vs. average signal-to-noise ratio (SNR). Optimum value of P for different values of average SNR is also obtained using simulations. The analytical expressions are validated by comparing the results with the simulation results. It is observed that the performance improves with decreasing the value of P in the proposed test statistics. Further, it is also observed that the proposed modified detector shows improved performance than conventional matched filter detector for P < 1.

Author Biography

Yogesh N. Trivedi, Nirma University, Ahmedabad

Department of Electronics and Communication System


Institute of Technology


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ROC plot of MCD based spectrum sensing and different P





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