Spatial Slow-Time Waveform and Adaptive Receive Filter Design for MIMO Radar

In this paper, we study the joint design of unimodular waveform transmission in spatial slow-time domain and adaptive receive filter for MIMO radar. We first present a generalized signal model which considers both the range sidelobe and Doppler effects, based on which we then formulate the design that maximizes the signal-to-interference-plus-noise ratio (SINR) into a non-convex optimization problem. One of our major contributions lies in transforming the formulated problem into a proper form which supports the application of alternating direction method of multipliers (ADMM). To solve the problem, we elaborate the Lagrangian for the ADMM and also make use of the embedded algebraic structures in the reformulated form. Moreover, we develop an algorithm that iterates with closed-form expressions to find the final solution to the joint design problem. In contrast to our previous work on this topic, our second major contribution lies in the reduction on computing the clutter composed of numerous patches, wherein a fast construction of clutter signals for calculation is devised. Simulation results show the advantages of our proposed algorithm over existing methods.