In this paper, the joint design of transmit waveforms and receive filters for multiple-input multiple-output (MIMO) beampattern synthesis problem is considered. This problem is formulated to approximate a desired transmit beampattern (i.e., an energy distribution in space and frequency) and to minimize the cross-correlation of waveform signals between different spatial angles by considering various practical waveform constraints. The optimization problem is highly nonconvex due to the nonconvexity of the objective function as well as the waveform constraints. To solve this problem, an efficient algorithm is proposed based on the block majorization-minimization (BMM) method. Performance of the proposed algorithm compared to the state-of-the-art is demonstrated through numerical simulations.

Multiple-input multiple-output (MIMO) system; waveform diversity; mismatched filter bank; beampattern design; nonconvex optimization