Cumulant Analysis of Dual Sequential Ratio Testing for Cognitive Radio Spectrum Sensing

Abstract

In this paper we present a novel methodology to evaluate the cumulants of the sample random distribution in Sequential Analysis. By means of this we present a modification to the Dual Sequential Ratio Test algorithm used for primary user detection in cognitive radio networks. In the considered scenario, the secondary users utilize the sequential ratio test to sense the wireless channel looking for the presence of a transmitting primary user. A Fusion Centre (FC) gathers the decisions from the secondary users in order to perform a sequential ratio test and achieve a final verdict. The instance when the FC starts collecting the decisions is optimized in such way that the total time to make a decision is minimized. This allows for a better energy usage from the secondary users along with a reliable and fast detection of the primary user. Some numerical examples are considered in order to validate our results.