Abstract

We design an optimum receiver to detect a pattern or a reference signal. We design a receiver that detects the signal distorted by a multiplicative noise on the signal itself, as well as by additive noise and by nonoverlapping scene noise. We design the optimum receiver under the condition in which the statistics of the multiplicative and nonoverlapping scene noise are not available. In the case in which additive noise is present and the statistics of the multiplicative noise are not known, the usual method of maximizing the likelihood function to estimate the statistics of stationary noise fails. We overcome this problem by viewing the noise processes as vector random variables and describe two different schemes to estimate the statistics of the multiplicative noise. Using computer simulations we show that, for the images tested here, the optimum receiver performs better than some of the existing receivers.

© 1998 Optical Society of America

Optimum receivers for pattern recognition in the presence of Gaussian noise with unknown statistics

Nasser Towghi and Bahram Javidi
J. Opt. Soc. Am. A 18(8) 1844-1852 (2001)

Image recognition in the presence of non-Gaussian noise with unknown statistics

Nasser Towghi and Bahram Javidi
J. Opt. Soc. Am. A 18(11) 2744-2753 (2001)

Performance of an optimum receiver designed for pattern recognition with nonoverlapping target and scene noise

Bahram Javidi, Amir Fazlollahi, Peter Willett, and Philippe Réfrégier
Appl. Opt. 34(20) 3858-3868 (1995)

Error probability of an optimum receiver designed for nonoverlapping target and scene noise

Amir H. Fazlollahi and Bahram Javidi
J. Opt. Soc. Am. A 14(5) 1024-1032 (1997)

Optimum receiver design for pattern recognition with nonoverlapping target and scene noise

Bahram Javidi, Philippe Refregier, and Peter Willett
Opt. Lett. 18(19) 1660-1662 (1993)