Design of Spatial Fast- and Slow-Time Waveforms and Receive Filter for MIMO Radar Space-Time Adaptive Processing

In this paper, we study the joint design of transmit waveforms and receive filter for the multiple-input multiple-output (MIMO) radar with space-time adaptive processing (STAP), wherein the complex environment that involves both clutter and jamming signals is considered. We choose to simultaneously design both the fast-time waveform and slow-time coding among transmitted pulses, together with the design of adaptive processing at receiver, which therefore leads to a three-dimensional STAP for MIMO radar. Specifically, we maximize the signal-to-jammer-plus-clutter-plus-noise ratio at the output, and meanwhile, we ensure the constant-modulus and similarity constraints for the waveform transmission. Based on this, we formulate the joint design as a non-convex optimization problem, and then recast it into a form that allows the application of alternating direction method of multipliers to find its solution. Moreover, we propose an algorithm with fast convergence speed for the conducted design, whose effectiveness is verified by simulations.