Power Control Strategy for Distributed Multiple-Hypothesis Detection

We introduce a local-channel power control strategy applicable to multiple-hypothesis distributed detection systems communicating over slow-fading orthogonal multiple-access channels. In earlier work, it was demonstrated that performance could be improved by adjusting transmit power to maximize the J-divergence measure of a binary detection system. The local power control strategy introduced here further improves performance by exploiting
a priori
probabilities and local sensor statistics. Moreover, the local power optimization can be combined with additional power control based on the state of the propagation channel. We extend the optimization to systems performing multiple-hypothesis detection, and evaluate outage probability for these systems. Various numerical results are shown.