近场MIMO雷达直线阵列的稀疏优化设计  

Sparse optimization of linear array for near field MIMO radar

作　　者：周祥[1,2,3] 刘电霆 ZHOU Xiang;LIU Dian-ting(College of Mechanical and Control Engineering,Guilin University of Technology,Guilin 541006,China;Key Laboratory of Spatial Information and Mapping of Guangxi,Guilin University of Technology,Guilin 541006,China;School of Microelectronics,Tianjin University,Tianjin 300072,China)

机构地区：[1]桂林理工大学机械与控制工程学院,广西桂林541006 [2]桂林理工大学广西空间信息与测绘重点实验室,广西桂林541006 [3]天津大学微电子学院,天津300072

出　　处：《桂林理工大学学报》2019年第4期967-972,共6页Journal of Guilin University of Technology

基　　金：广西创新驱动发展专项(科技重大专项)(桂科AA18118038);广西科技计划项目(桂科攻1598007-15);广西高校中青年教师科研基础能力提升项目(2018KY0238);广西空间信息与测绘重点实验室主任基金项目(15-140-07-16;16-380-25-06)

摘　　要：针对目前按PCA原理设计的MIMO雷达稀疏直线阵列天线在近场成像时会产生巨大的累积误差等不足,从MIMO线阵雷达近场成像的几何关系直接推导其信号函数表达式,并优化其线阵的稀疏设计问题,建立了在天线孔径和阵元最小间距等约束下,阵元数目、峰值旁瓣比等目标的优化模型,构建包含两点交换变异等操作的遗传算法进行优化模型求解的方法。设计了染色体基因位置按线阵均匀栅格点序排列、空阵元和发射阵元与接收阵元集成的三进制编码方法,相比常规的发射阵列和接收阵列分置二进制编码方法,染色体的长度缩短了一半,其规模也大大减少。遗传算法的结构及其主要MATLAB程序分析表明,所提出的方法可行。In the near field imaging application of MIMO radar,it will cause huge accumulative errors when the principle of PCA is used to design the sparse linear array of its antenna.According to the characteristics of the MIMO linear array radar,the geometric relation graph of the near field imaging is constructed,the expression of the near field signal function is derived directly.The sparse optimization of the linear array is studied in this paper.The principle and main steps of sparse optimization design for linear array are given.The optimization model of the elements numbers and the ratio of the peak value in the sidelobe to that in the main lobe is established under the constraints of the antenna aperture and the minimum spacing of the array element.A genetic algorithm which includes mutation of two-point switching is constructed to solve the optimization model.A three binary coding method is designed to integrate the emission element and the receiving elements with chromosomal gene location by grid array.The length of the chromosome is half of the binary encoding with the transmit array and the received array separately.Then chromosome size is greatly reduced.The structure of the genetic algorithm and its main matlab program are given,with an example to illustrate the feasibility of the proposed method.

关 键 词：优化设计 MIMO线阵 稀疏阵列 近场雷达 遗传算法 

分 类 号：TH122[机械工程—机械设计及理论] TP301.6[自动化与计算机技术—计算机系统结构]