平面阵MIMO雷达发射方向图设计方法

针对现有MIMO雷达发射方向图设计方法无法直接推广到平面阵MIMO雷达的问题，在平面阵方向图可以由水平和垂直方向的线阵方向图合成的思想基础上，该文提出一种应用基波束和概率选择方法设计平面阵MIMO雷达发射方向图的方法。该方法首先将期望方向图沿方位角累加，形成1维俯仰角方向图，建立垂直方向线阵的俯仰角基波束集合和该集合元素的概率选择优化模型；其次针对每个俯仰角对应的1维方位角期望方向图，建立水平方向线阵的方位角基波束集合和该集合元素的概率选择优化模型；最后合成2维基波束集合和集合中元素的选择概率，并求得平面阵MIMO雷达的发射方向图和发射信号。该方法中的优化问题都是凸问题，可以求得全局最优解。

Transmit Beampattern Design for Planar Array MIMO Radar

The transmit beampattern methods available for the MIMO radar can not be extended into the planer array MIMO radar. With the application of the base-beam and probability selecting methods, an approach to design the transmit beampattern for the planer array MIMO radar is presented in this paper, which is based on the idea that the beampattern of planer array can be synthetised by the beampattern of a horizontal and vertical line array. First, the desired beampattern is accumulated along the azimuth and consequently the 1-D beampattern along the elevation can be formed. The elevation base-beam collection of the vertical line array and the corresponding probability selecting optimization model are formulated. Then, the azimuth base-beam collection of the horizontal line array and the corresponding probability selecting optimization model can also be formulated for the desired azimuth beampattern of a candidate elevation. Finally, the 2-D base-beam collection is synthetised and the corresponding selected probability of the collection elements can be calculated. Consequently, the transmit beampattern and the transmit signal can be well obtained using the convex optimization approaches.