A new and generalized model for the multitaper detector with nonzero mean signals

The problem of spectrum sensing for cognitive radio networks has attracted much interest in the research community. The Multitaper detector has its unique importance and was highly recommended for spectrum sensing in cognitive radio systems. In this paper, we investigate the Multitaper detector for the generalized nonzero-mean case. We analyze the Hermitian form of the Multitaper estimate to obtain the detector performance for nonzero-mean primary signals. The difficulty in this case arises from finding an expression for the noncentrality parameters associated with the diagonalized form of the quadratic representation of the Multitaper estimate. We provide closed form expressions for the noncentrality parameters, which also turned to be a function of the eigenvalues of the quadratic form. The validity of the derived mathematical model is verified through Monte-Carlo simulations.