A Coordinate Descent Framework to Joint Design of MPSK Sequences and Receive Filter Weights in MIMO Radar Systems

In this paper, we aim at a joint design of $M$-ary Phase Shift Keying (PSK) - or MPSK - transmit waveform and receive space-time filter to maximize the Signal to Interference plus Noise Ratio (SINR) in colocated Multiple Input Multiple Output (MIMO) radar systems. The design problem is formulated into a maximization of the SINR, including unimodular discrete phase constraint on the transmit waveforms. The resulting problem is non-convex, whereby we devise an iterative algorithm based on the Coordinate Descent (CD) framework to tackle it iteratively. To reduce the computational complexity in designing the transmit waveforms, we exploit the properties of Fast Fourier Transform (FFT) in this paper. Numerical examples illustrate the superior performance of the proposed algorithm in comparison with the state-of-the-art counterparts.