Harmonic Mean SINR Maximization-based Bandwidth and Carrier Frequency Allocation for Distributed Radar Networks

In this paper, we propose joint bandwidth and carrier frequency allocation algorithm for a network consisting of a central coordinator and distributed radar nodes, each operating in a monostatic mode. With an objective of enabling poor performing radar nodes, that observe low target signal-to-noise and interference ratio (SINR) values, benefit from distributed collaboration, we propose to maximize harmonic mean of the node SINRs under total bandwidth and individual node's range resolution (RR) constraints. This optimization is non-convex, but we solve it efficiently utilizing an explicit relationship between bandwidth and carrier frequencies, and the fact that each node's SINR is a monotonically decreasing function of bandwidth and carrier frequency allocated to the node. We propose an iterative method that successively approximates the optimization with a geometric programming (GP) problem. Computer simulations show that the proposed method significantly outperforms equal bandwidth allocation (EBWA) method and enables poor performing nodes to enhance their individual SINRs significantly.