A pth order moment based spectrum sensing for cognitive radio in the presence of independent or weakly correlated Laplace noise

We investigate sensing performance of the proposed POM detector for independent and weakly correlated Laplace noises.We derive a numerical relationship between detection probability and false alarm probability of the POM detector under non-fading and Rayleigh fading channels for independent as well as weakly correlated Laplace noises.Numerical and simulation results are given to demonstrate that the POM detector is applicable for both independent and weakly correlated Laplace noises. In cognitive radio systems, noise samples are often assumed to be independent Gaussian in order to simplify the spectrum sensing problem. However, due to the high frequency of sampling, a certain level of correlation exists among the noise samples. Furthermore, non-Gaussian noise often has a negative effect on the signals which the secondary users finally receive. Spectrum sensing methods based on the independent Gaussian noise assumption may not achieve satisfying detection performance when noise samples are correlated and non-Gaussian distributed. A novel signal detection method based on pth order moments (POM) in a multi-user cooperative scheme is proposed to address spectrum sensing issue for both independent and weakly correlated Laplace noise. Different from other detectors, our detector does not require a priori knowledge of PU, noise and communication channels. Theoretical performance measures are derived and verified for both independent and weakly correlated Laplace noise. Moreover, the detection performances versus signal-to-noise ratio SNR, order p, scale parameter b and correlation coefficient of the background noise are investigated by computer simulation. It is shown that, for both independent and weakly correlated Laplace noises, the POM-based detector outperforms energy detector (ED) and polarity-coincidence-array (PCA) detector when p < 2.