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提出一种基于空频域二步优化的集中式MIMO雷达波形设计方法。首先,利用最小积分旁瓣策略,形成带有零陷的期望发射方向图。针对所形成的非凸优化问题,利用隐藏的凸优化性能,通过半正定松弛和谱分解,可以在多项式时间内有效取得全局最优解。其次,针对空域优化得到的发射波形,引入相位变换对角矩阵并通过类幂方法迭代优化,在不影响雷达空域发射方向图基础上,雷达发射波形可在频域上进一步优化,从而避免对其他无线电设备造成干扰。实验仿真和现有方法对比分析证明了所提算法的有效性。
A method of designing MIMO radar waveform based on two-step space-frequency optimization is proposed. First, using the minimum integral sidelobe strategy, a desired emission pattern with nulls is formed. Aiming at the non-convex optimization problem, the global optimal solution can be obtained effectively by the semi-positive definite relaxation and spectral decomposition using the hidden convex optimization performance. Secondly, aiming at the transmit waveform obtained by airspace optimization, the phase transformation diagonal matrix is introduced and iteratively optimized by the class power method. The radar transmit waveform can be further optimized in the frequency domain without affecting the radar airspace emission pattern, Interference caused by radio equipment. Experimental simulation and comparison of existing methods demonstrate the effectiveness of the proposed algorithm.