Title :
A likelihood ratio formula for two-dimensional random fields
fDate :
7/1/1974 12:00:00 AM
Abstract :
This paper is concerned with the detection of a random signal in white Gaussian noise when both the signal and the noise are two-dimensional random fields. The principal result is the derivation of a recursive formula for the likelihood ratio relating it to certain conditional moments of the signal. It is also shown that, except for some relatively uninteresting cases, a simple exponential formula for the likelihood ratio, such as one has in one dimension, is not possible.
Keywords :
Gaussian processes; Multidimensional signal detection; Stochastic signals; Additive white noise; Detectors; Differential equations; Drain avalanche hot carrier injection; Gaussian noise; Gaussian processes; Integral equations; Matched filters; Signal processing; Testing;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.1974.1055255