  In this paper, the multiple-input multiple-output (MIMO) transmit beampattern
matching problem is considered. The 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 signals reflected back to
the array by considering different practical waveform constraints at the same
time. Due to the nonconvexity of the objective function and the waveform
constraints, the optimization problem is highly nonconvex. An efficient
one-step method is proposed to solve this problem based on the
majorization-minimization (MM) method. The performance of the proposed
algorithms compared to the state-of-art algorithms is shown through numerical
simulations.
