A Fast Algorithm for Joint Design of Transmit Waveforms and Receive Filters

Joint design of transmit waveforms and receive filters has been an active research field since the emergence of MIMO radar. The design problem is usually formulated into a maximization of the signal-to-interference-plus-noise ratio (SINR), subject to waveform constraints. A widely used approach is the alternating optimization scheme combined with the rank-one constrained SDP programming. In this paper, a new algorithm based on the majorization-minimization (MM) method is proposed. This algorithm is not only capable of dealing with various waveform constraints, but also computationally efficient. Furthermore, its connection to the alternating optimization approach is also revealed. Numerical experiments show that the proposed algorithm outperforms the existing benchmarks in terms of running time and/or achieved SINR.