Spectrum Sensing of Cognitive Radio Network Under Linear Combination of Gaussian Random Variables

Abstract

In this project work we studied the Spectrum Sensing techniques for Cognitive Radio (CR) and derived Probability of Detection (PD) and Probability of False Alarm (PF) of a Cognitive Radio Network (CRN). Here we considered the test statistics as the weighted sum of the Gaussian random variables where the weighting factor depends on the eigenvalues of covariance matrix of Multiple-Input-Multiple-Output (MIMO) channel with Additive White Gaussian Noise (AWGN). We calculated PD and PF by changing channel parameters like number of sample values to find the threshold Signal-to-Noise Ratio (SNR) within condition PD above 80% and PF less than 8%.