Mutual information‐based constant‐modulus waveform design for multiple‐input‐multiple‐output radar in spectrally crowded environment

Abstract

Abstract This study considers designing constant‐modulus waveforms for multiple‐input‐multiple‐output radar in spectrally crowded environment. The mutual information is used as the waveform design metric. A constant‐modulus constraint is imposed on the waveforms to improve the hardware efficiency. To enhance the spectral compatibility of the transmit waveforms, a precise control on the interference energy produced on each reserved bandwidth is considered. To tackle the multi‐spectrally constrained waveform design problem, a minorisation‐maximisation based method is developed, and a quadratic function to minorise the objective function is derived. Then an alternating direction method of multipliers is used to tackle the quadratically constrained quadratic programming problem at each iteration. The effectiveness of the presented algorithm is demonstrated via simulation results.

Keywords

• alternating direction method of multipliers (ADMM)
• constant‐modulus
• MIMO radar
• minorisation‐maximisation (MM)
• mutual information
• spectrally crowded environment