Distributed Detection of Weak Signals From Multiple Sensors With Correlated Observations.

摘要

We address two problems of distributed detection of a weak signal from dependent observations. In the first problem, two detectors must decide on the basis of their observations whether a weak signal is present or not. The observations of the two detectors consist of a common weak signal disturbed by two independent additive m-dependent or hi-mixing noise processes. Fixed-sample- size (block) detection is employed. The decisions are coupled through a common cost flinction, which consists of the sum of the error probabilities under the two hypotheses. In the second problem, the observations of each individual detector still consist of a common weak signal disturbed by an additive m dependent or hi-mixing noise process, but the noise processes of the two detectors are now correlated. The cost function has a structure similar to that of the first problem.