Joint optimization of transmit waveform and mismatched filter with expanded mainlobe for delay-Doppler sidelobes suppression

Low range sidelobe level is a main pursuit in radar waveform optimization, especially at the target searching mode. In this paper, we propose an approach to jointly optimize a transmit waveform and its mismatched filter to suppress range sidelobes even with slight Doppler mismatch under constant modulus constraint. Specifically, we propose a minimization criterion to suppress delay-Doppler sidelobes and control signal-to-noise ratio loss. Since the design criterion is a non-convex optimization problem, we exploit a double least-pth minimax algorithm to solve it. Numerical results indicate that the approach can efficiently suppress delay-Doppler sidelobes over different specifications of the Doppler mismatch.