Optimum Distributed Detection of Weak Signal in Dependent Sensors

Locally optimum distributed detection of iveak random signals is considered for observations which may exhibit dependencies from sensor to sensor. The necessary conditions are presented for a locally optimum fusion rule and for the locally optimum sensor decision rules. The form of the locally optimum sensor test, statistic may be different from its classical centralized detection version. and also from the locally optimum distributed detection statistic for independent sensor observations. Several examples are given to illustrate this behavior.