Statistical Measure Of Performance In Adaptive Beam-Forming
R C. McCarty · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1988
A statistical measure of the performance of an adaptive beam-forming technique for a multi sensor linear array has been developed. The sample complex vector signal process, Z(tk ) as observed at sample times {tk } E [0,T] is used to calculate a positive, definite, maximum likelihood estimate (M.L.E.) fi of the signal process covariance matrix R. Then, an estimated measure of the performance of the array in terms of its ability to suppress an interfering signal is developed from an a priori specified process matrix E (R), its sample M.L.E. estimate R, and a form of the Wishart distribution. In particular, such an estimated measure of performance in terms of suppressing an interfering signal with an AOA of 02 relative to a beam AOA of 01 is the statistic represented by the estimated L 2 norm, II 0-1 11 29 where 15-1.V*(01)11-1V(01) and p-1=V*(01)R-1V(01). Also R and R are functions of V(02) and V* (82).