Majorization-minimization technique for multi-static radar code design

In this paper, we study the problem of code design to improve the detection performance of multi-static radar in the presence of signal-dependent clutter. Due to the lack of analytical expression for receiver operation characteristic (ROC), an information-theoretic criterion, namely the KL-divergence, is considered as the design metric. The code design problem is cast as a non-convex optimization problem with a peak-to-average-power ratio (PAR) constraint. We devise a novel method based on Majorization-Minimization to tackle the arising optimization problem. Via numerical investigations, a general analysis of the coded system performance, as well as the behavior of the KL-divergence versus transmit energy is provided.