<title>Generalized optimum receiver for pattern recognition with multiplicative, additive, and nonoverlapping background noise</title>

Abstract

In this paper we design an optimum receiver to detect a pattern or a reference signal. We design a receiver which detects the signal distorted by a multiplicative noise on the signal itself, as well as by additive noise and by non- overlapping scene noise. We use hypothesis testing to determine the location of a target buried in multiplicative, additive, and non-overlapping background noise. We also consider the case when the reference pattern is illuminated with an unknown illumination constant. Using computer simulations we show that, for the images tested here, the optimum receiver performs better than some of the existing receivers.