Expansions in Orthogonal Polynomials for Estimating the Multidimensional Probability Density Characteristics Of Recognition system Output Signals

摘要

An analytical method for computing the recognition characteristics of correlated normally distributed signal against a correlated normally distributed background has been developed. The method is base on representing the multidimensional probability density of the signal at the processing channel outputs by multidimensional Hermite and Laguerre polynomials series.