多目标跟踪下的分布式MIMO雷达资源联合优化算法  

A Joint Resource Optimization Algorithm of Distributed MIMO Radar Systems for Multiple Targets Tracking

作　　者：宋喜玉 任修坤[1] 郑娜娥[1] 田英华[1] SONG Xiyu;REN Xiukun;ZHENG Na’e;TIAN Yinghua(Information Engineering University,Strategic Support Force,Zhengzhou 450001,China)

机构地区：[1]战略支援部队信息工程大学,郑州450001

出　　处：《西安交通大学学报》2018年第10期110-115,123,共7页Journal of Xi'an Jiaotong University

基　　金：国家自然科学基金资助项目(61401469;41301481;61401513);国家科技重大专项资助项目(2013ZX03006003-006)

摘　　要：针对现有分布式MIMO雷达资源联合分配多集中于发射端阵元与功率的分配,未同时考虑接收阵元的优化,且缺乏对任意雷达布阵形势下系统跟踪能力和资源需求量估算等问题,提出多目标跟踪下的分布式MIMO雷达资源联合优化算法。首先,计算多目标位置误差的最大值,以最小化该最大值为目标函数;其次,在发射和接收阵元总数量有限、发射总功率给定的条件下,建立收发阵元选取与功率分配联合的资源优化模型;然后,结合启发式搜索算法和连续参数凸近似算法,采用循环最小化的方式对该问题进行求解;最后,在给定大小的实验环境中,对目标运动轨迹确定和随机两种场景进行实验。实验结果表明,系统发射总功率一定时,选取的发射阵元个数要明显少于接收阵元个数。相比于现有MIMO雷达资源分配研究,所提算法能够估算出在任意雷达布阵形势下系统的最低目标跟踪精度、个数和相应的最少资源需求量,对雷达系统的结构设计和资源储备具有一定的参考价值。A joint resource optimization algorithm of distributed MIMO radar system for multiple targets tracking is proposed to solve the problems that existing researches on joint resource allocations for distributed MIMO radar systems focus on only transmitters and system power without optimization of receivers,and lack estimation of tracking capability and resource demands for random radar layouts.Firstly,the maximum of Cramer-Rao lower bound in multiple targets location is calculated and the objective is to minimize the maximum value.Next,an optimization model that considers transmitting power,transmitters and receivers is established under constraints of transmitting power and total number of selected transmitters and receivers.Then,a joint resource optimization algorithm based on cyclic minimization is proposed to solve the problem via combining the heuristic algorithm for antenna selection and the sequential parametric convex approximation algorithm for power allocation.Experimental results of static and random target trajectories in a given size of environment show that the number of selected transmitters is smaller than that of receivers when the total transmitting power is limited.Comparisons with existing resource allocation researches show that the proposed algorithm can evaluate the least target tracking accuracy,the number of targets,and the minimum corresponding resource demands of the system in any radar array situation.The algorithm may have some reference value for the structure design and resource reserve of distributed MIMO radar systems.

关 键 词：MIMO雷达 分布式 多目标跟踪 资源联合优化 

分 类 号：TN958[电子电信—信号与信息处理]