The Hotelling detector using quadrature channels decorrelation

Abstract

Introduction of automated radar detection systems makes it an urgent task to develop and implement detection algorithms which provide false alarm probability stabilization for a priori unknown interference environment without the involvement of a human operator. In terms of Gaussian noise with a priori unknown covariance properties the problem of false alarm probability stabilization can be solved by using Hotelling decision statistics. Using the Hotelling statistics the relations for the false alarm probability and correct detection probability are obtained. To increase the convergence rate of the characteristics for adaptive detector using the specified statistics to potential values we propose the processing matrix that provides quadrature channel signals decorrelation. Hotelling decision statistics considering the proposed conversion is obtained. The examples of implementing the proposed Hotelling decision statistics generator using quadrature channel signals decorrelation at the level of structural schemes are given. The detection procedures characteristics with and without the use of quadrature components decorrelation are compared.