Composite signal detection in spatially dependent noise

Abstract

Composite signal detection is a more challenging and mathematically general problem than that of known signal or random signal only. In the past several authors have studied composite signal detection problem under the assumption there is a single receiver. Based on these results, we considered weak composite signal detection when there are a number of receivers. We assumed noise to be additive and dependent across the receivers. The dependence assumption is necessary when the receivers are not far enough or a school of fish make a noise in sonar detection. Also this is a general case including that when noise is independent across the receivers. It turned out that the structure of the locally optimum (LO) detector in this case is similar to that when there is a single receiver. Asymptotic performance of the LO detector is compared with that of linear correlator array detector.