Joint transmit-receive filter design with lower APSL and ICPL to suppress interference

For weak target detection and interference suppression, we consider a joint design of transmit waveform and space-time receive filter to reduce the waveform auto-correlation peak sidelobe level (APSL) and interference cross-correlation peak level (ICPL). First, we propose a design criterion, which formulates the multi-Lp norm and signal-interference-noise-ratio (SINR) model under the constraints of waveform and mismatched filter to suppress digital radio frequency memory (DRFM) interference. Second, we present an iterative penalty majorizationminimization (IPMM) algorithm to solve the multi-Lp norm nonconvex optimization problem. Finally, a majorization peak sidelobe level (MPSL) model is proposed, which enhances the convergence speed of the IPMM algorithm. Numerical results show that the proposed approach has a better performance and higher computational speed than conventional ones