An Algorithm for Simultaneously Searching for Optimal Fusion Rule and Corresponding Local, Sensor Compression Rules

An algorithm is obtained to search for an optimal fusion rule and the corresponding optimal local sensor compression rules simultaneously. The fusion center of the original decision system is regarded as a suppositional local sensor. Thereby, the problem on the optimal fusion rule and corresponding optimal local sensor rules for the original system is changed into a problem on optimal local sensor compression rules under a given fusion rule for the new system adding a suppositional local sensor. The necessary condition for optimal sensor rules is presented in the aforementioned new system. The finite convergence of the discretization algorithm is also proved. Numerical examples show the efficiency of the presented algorithm