ARRAY DETECTION OF RANDOM SIGNALS IN SPHERICALLY INVARIANT NOISE

The locally optimum array detector for a random signal embedded in sph erically invariant noise is synthesized. In this observation model, th e signal of interest is common to each array element and the noise sam ples are assumed to be spatially independent across the array, but tem porally correlated. Moreover, the noise at each sensor is modeled as a spherically invariant random process, which is completely characteriz ed by the univariate probability density function, the mean, and the c ovariance function. The performance is assessed via computer simulatio ns and is compared with those of two suboptimum detectors. The first o ne is the locally optimum detector for Gaussian correlated noise; the second one is the locally optimum detector for temporally independent non-Gaussian noise samples.