No abstract

This paper focuses on the design of matched filters with low peak sidelobe level as well as mismatched filters with low loss in processing gain and peak sidelobe level, for phase codes. We propose an algorithm which employs the least-p th norm minimax based on the genetic algorithm, and a method based on the semidefinite programming to deal respectively with the resulting matched and mismatched optimization problems. A framework is also presented to design mismatched filters that are robust to Doppler shifts. Simulation results show that using the proposed methods for finding matched filters leads to better peak sidelobe level and integrated sidelobe level for binary and polyphase codes compared to previous works. In addition, the mismatched filters designed by the proposed methods have very low peak sidelobe level in the binary and polyphase cases.

In this study, the joint design of discrete phase transmit sequences and receive filters with the low peak sidelobe level and integrated sidelobe level in radar systems is considered. The problem is formulated as a minimisation of the peak (integrated) sidelobe level, forcing a unimodular discrete phase constraint at the design stage. To deal with the resulting non‐convex and in general the NP‐hard optimisation problem, an iterative method based on the alternate optimisation approach is proposed. Each iteration of the proposed method involves a non‐convex min–max problem to be solved. In addition, a sequential rank‐one constraint relaxation framework is proposed to initialise the procedure, each iteration of which requires the solution of a convex problem. Simulation results show that using the proposed framework for jointly finding transmit sequences and receive filters leads to a better peak sidelobe ratio and integrated sidelobe ratio for discrete phase sequences than the optimal mismatched filters design approach.

No abstract

No abstract