多输入多输出雷达低旁瓣发射方向图优化算法

提出了一种基于波束域加权的低旁瓣方向图设计方法。综合考虑方向图匹配性能和发射阵元等功率作为约束条件，建立低旁瓣发射方向图优化模型，采用半正定松弛技术将优化模型转化为凸优化问题；对波束加权矩阵施加对偶约束，使得接收信号满足旋转不变性；利用高斯随机化方法对波束加权矩阵进行求解，得到原优化问题的最优解。仿真结果表明，算法能够保持期望主瓣形状并有效降低方向图旁瓣，提高到达角(DOA)的估计精确度和角度分辨力。

Low sidelobe transmit beam pattern optimization algorithm for Multiple-Input Multiple-Output radar

A low sidelobe transmit beam pattern optimization algorithm based on beam space weighting is proposed. Firstly, the optimization model is established by concerning the beam pattern matching performance while keeping elemental power distribution to be uniform. For the proposed optimization model is nonconvex, semidefinite programming relaxation technique is adopted to transform the nonconvex problem to a convex one. Then, symmetry constraint is constructed for beamspace weighting matrices, which guarantees the rotational invariance property of the received signal. Gaussian randomization technique is utilized to solve the beamspace weighting matrices, therefore, the optimum of original problem can be obtained. Simulation results show that the proposed algorithm can maintain the desired mainlobe shape of the beam pattern as well as decrease the sidelobes, leading to the improvement of Direction Of Arrival(DOA) estimation and target resolution performances.