线性FDA的二维发射波束合成技术研究

本文提出了一种基于凸优化的均匀线性频控阵（Frequency Diverse Array ，FDA）的二维低旁瓣发射波束合成技术实现方法。由于FDA的导向矢量有方位角和距离两个变量，所以直接采用凸优化进行求解的复杂度较高，文中首先采用Kronecker积把均匀线性FDA分解成两个单变量的导向矢量，它们分别与方位角和距离有关。然后把这两个单变量的导向矢量转化成凸优化问题，降低了求解难度。最后，采用Kronecker积把两个单变量的加权矢量合成一个两变量的加权矢量。仿真结果验证了本文所提出的方法实现了FDA雷达的二维低旁瓣发射波技术。

Two dimensional transmit beampattern synthesis for linear frequency diverse array

This paper presents a two dimensional low sidelobe transmit beampattern synthesis for uniform linear Frequency Diverse Array (FDA) with convex optimization. As the uniform linear FDA array steering vector has two variables (i.e., azimuth angle and slant range), it is difficult to be solved by the convex optimization. We divide it into two single variable steering vectors with the Kronecker product, which depend on the angle and range, respectively. Next, they are formulated into two optimization problems and can be easily solved by the convex optimization. Finally, the two weight vectors are synthesized into a two variable weighter with the Kronecker product. Simulation results show that the proposed method can achieve low sidelobe two dimensional transmitted beampattern for FDA radar.