Energy-efficient node selection for cooperative spectrum sensing with spatial correlation

In this paper we investigate the node placement for a wireless sensor network deployed to sense the spectrum with spatial channel correlation. The goal is to find the best node constellation, such that the given power constraints are satisfied and the best sensing performance is acquired. We derive the analytical expression for probability of detection (P_D) of the optimal test statistic as the measure of performance. Then we develop two heuristic methods to solve the non-convex optimization problem. Using numerical simulations the analytical expressions for P_D is justified, as well as, the performance of the two proposed suboptimal approaches.