On performance of the Wald test in partially coherent Cognitive Radio channels

Abstract

A spectrum sensing technique for Cognitive Radio (CR) Networks based on the Sequential Analysis of A.Wald is applied to partially coherent channel scenarios. It is shown that using Wald's test, it is possible to reduce the number of samples required to detect the presence of the primary user by approximately a factor of 2 in comparison to the well known Neyman-Pearson test. An expression for the Wald test statistic for the case of partially coherent channel is derived. Effects of phase uncertainty on the performance of the test is investigated.