In this paper, basic results on distributed detection are reviewed. In
particular, we consider the parallel and the serial architectures in
some detail and discuss the decision rules obtained from their optimiz
ation based on the Neyman-Pearson (NP) criterion and the Bayes formula
tion. For conditionally independent sensor observations, the optimalit
y of the likelihood ratio test (LRT) at the sensors is established. Ge
neral comments on several important issues are made including the comp
utational complexity of obtaining the optimal solutions, the design of
detection networks with more general topologies, and applications to
different areas.