Use Pollaczek polynomials for analysis characteristics of radar target identification system

An analytical method of calculating the recognition characteristics of a correlated normally distributed signal against correlated normally distributed background was developed. It is based on the representation of multidimensional probability density of a set of processing channels output signal by multidimensional series of Pollaczek (1950) polynomials. This approach allows one to obtain sufficient accuracy of approximation of probability density and analytical expression for M-dimensional integrals from probability density of recognition system output signals. The advantage of this method is that it allows one to estimate recognition quality when using multidimensional portraits taking into account interchannel correlation and the difference between the distribution law of a processing channels output signal and the normal one. The result given in the article have a relatively simple form and may be used to carry out scientific engineering designs.