Distributed Detection from Multiple Sensors with Correlated Observations
Abstract
We address two problems of memoryless distributed detection with dependent observations across time and sensors. In the first problem, the observation sequence of each sensor consists of a common weak signal in additive dependent noise with stationary univariate and second-order joint densities; here the objective of the sensors is to cooperatively detect the presence of a weak signal. In the second problem, the observation sequence of each sensor is characterized by its stationary univariate and second-order joint densities; here the objective of the sensors is to cooperatively disrciminate between two arbitrary such sequences of observations. For both problems, the analysis and design are based on a common large sarnple size. The dependence across time and sensors is modeled by rn-dependent, %-mixing, or p-mixing processes. The perfonnance of the two-sensor configuration for each problem is measured by an average cost, Which couples the decisions of the sensors. The design criteria for the test satistics of the sensors, which constist of sums of memoryless norlinearities, are established by using two-dimensional Chemoff bounds on the associated error probabilities involved in the average cost. The optimal nonlinearities are obtain as the solutions of linear coupled or uncoupled integral equations. Numerical results for specific cases of practical interest show that the performance of the proposed scheme is superior to the one which ignores the dependence across time and/or sensors for each of the two problems.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1989
- Accession Number
- ADA454790
Entities
People
- E. Geraniotis
- Y. A. Chau
Organizations
- University of Maryland