Closed-Form Waveform Design for MIMO Radar Transmit Beampattern Synthesis via Integral Equality

Recently, due to the adequate use of waveform diversity, MIMO technology has been widely adopted, resulting in the waveform design for MIMO radar beampattern synthesis becoming a hot issue. However, most previous works regarding this problem optimize the waveform by introducing the global mean squared error (MSE) as the cost function, this requires large computation in applications. Different from these works, we adopt the idea from the shaped beampattern synthesis problem of 2-D array in this paper, that is, to form a flat-top beampattern in the desired area with small ripple. By considering the physical meaning of the flat-top beampattern from scratch, the MIMO waveform design problem is turned to designing the waveforms that make its beampattern integral (i.e. the energy transmitted by array) equal in the desired area. Subsequently, we put forth a closed-form method and give its mathematical proof. Numerical simulations and comparisons to known MIMO radar waveform design methods are provided to verify its effectiveness and outperformance.