一种循环迭代的MIMO雷达发射方向图设计方法  

A Cyclic Iterative Method for MIMO Radar Transmit Beampattern Design

作　　者：吴梦[1] 刘宏伟[1] 王旭[1] 

机构地区：[1]西安电子科技大学雷达信号处理国家重点实验室,西安710071

出　　处：《电子与信息学报》2015年第2期322-327,共6页Journal of Electronics & Information Technology

基　　金：国家自然科学基金(61401329;61201285)资助课题

摘　　要：现有多输入多输出(MIMO)雷达发射方向图设计是通过优化信号相关矩阵来逼近期望方向图,可采用凸优化方法求解,但其计算量较大,不利于工程实现。针对上述问题,该文提出一种循环迭代的MIMO雷达发射方向图设计方法。该方法以加权最小二乘为准则,通过引入辅助变量,将对信号相关矩阵的优化问题转化为关于其Hermite平方根的二次优化问题,再以循环迭代的方式进行求解。对于均匀线阵,当采用均匀加权且离散化方位角在归一化空间频率域均匀采样时,可采用快速傅里叶变换(FFT)的方式进行求解,进一步提高计算效率。仿真结果表明,该方法所得发射方向图可以很好地逼近期望方向图,且具有较高的实时性。Transmit beampattern design for Multiple Input Multiple Output（MIMO） radar is obtained by synthesizing the signal covariance matrix, which can be achieved by convex optimization approaches. Due to the high computational complexity, these approaches are not easy for practical implementation. In this paper, a cyclic iterative method for MIMO radar transmit beampattern design is proposed. Based on the weighted least square criterion, signal covariance matrix can be obtained by optimizing the quadratic cost function with respect to its Hermite square root. For the uniform linear array, especially when the sampling grid in normalized spatial frequency is uniform and the weights for grid points are the same, FFT can be used to further reduce the computational complexity of the proposed algorithm. Simulation results show that the resulting beampattern matches the desired pattern closely and the proposed algorithm is efficient for the real time application.

关 键 词：多输入多输出雷达 发射方向图设计 循环迭代 快速傅里叶变换 

分 类 号：TN958[电子电信—信号与信息处理]