Title :
A unified approach to the design of decentralized detection systems
Author :
Alhakeem, S. ; Varshney, P.K.
Author_Institution :
Dept. of Electr. & Comput. Eng., Syracuse Univ., NY, USA
Abstract :
A unified approach to the design of decentralized detection networks with arbitrary topologies is proposed and analyzed. In this approach, a decentralized detection system of arbitrary topology is represented by a communication matrix that specifies the interconnection structure of the detection network. This matrix is used to derive the general decision rule using the person-by-person-optimal (PBPO) solution methodology. It is shown that the PBPO decision rule is a likelihood ratio test for statistically independent observations. The threshold of the test is shown to be a function of the decision input vector of the detector under consideration. This unified approach is used to obtain the PBPO decision rules of decentralized detection systems with various topologies. Various results in the literature are verified. In addition, the PBPO decision rules for a decentralized detection system with peer communication are presented. Numerical examples are presented for illustration.<>
Keywords :
Bayes methods; decision theory; matrix algebra; multivariable systems; sensor fusion; signal detection; Bayes hypothesis; PBPO decision rules; arbitrary topologies; communication matrix; decentralized detection systems; decision rule; design; detection network; interconnection structure; likelihood ratio test; peer communication; person-by-person-optimal solution; statistically independent observations; Bayesian methods; Detectors; Network topology; Reliability engineering; Sensor systems; Sequential analysis; Signal detection; Signal processing; System testing; Tree graphs;
Journal_Title :
Aerospace and Electronic Systems, IEEE Transactions on
