LAUSR

In this paper, the problem of transmit beampattern matching design for multiple-input multiple-output (MIMO) radar is addressed within a sparse representation framework. In the proposed method, a new transmit beampattern design scheme, in which only a multirank transmit beamformer (MRTBF) and some existing orthogonal waveforms are needed to synthesize a desired beampattern, is adopted to tackle the beampattern design problem. Based on the new design scheme, the transmit beampattern design problem is first formulated into the sparse representation framework. Then, in the situation that the Fourier basis is adopted, the MRTBF is obtained through solving the sparse representation problem with a constrained convex optimization and a least-square procedure effectively. It is shown that the waveforms obtained from the resulting MRTBF and some existing orthogonal waveforms can guarantee uniform elemental power transmission. Compared with most of the existing methods, the proposed method has comparable performance but lower computational burden. Numerical experiments are performed to verify the effectiveness of the proposed method.