Robust Transmit-Receive Optimization Design for Extended Target Detection

Abstract

Assuming unknown knowledge of target impulse response (TIR), we discuss the robust optimization problem of the radar code sequence and filter bank configuration for detection of range spread target in the additive Gaussian noise and clutter jamming environment. In order to improve the capability of range spread target detection, we cope with transmit-receive system design to optimize the worst-case signal to interference plus noise ratio (SINR) gained by a bank of filters. The problem is formulated in terms of a non-convex max-min quadratic fractional optimization program. Relying on an appropriate reformulation, we present an alternate optimization technique which monotonically increases the SINR value and then converges to the limit value. All iterations in the procedure, involve a hidden convex as well as a max-min quadratic non-convex problem that is solved resorting to the generalized Dinkelbach (GD) process. The effectiveness of the alternate optimization procedure is demonstrated by numerical simulation results, highlighting the capability enhancement offered by the robust joint optimization technique.