基于多种方位角计算方法的超短波AOA定位比较  

Comparison of AOA Localization in Ultrashort Wave under Various Azimuth Calculation Methods

作　　者：马方立 徐扬[3,4] 徐鹏[3,4] MA Fangli;XU Yang;XU Peng(School of Computing and Artifical Intelligence,Southwest Jiaotong University,Chengdu 610031,China;Sichuan Provincial Radio Monitoring Station,Chengdu 610052,China;National-Local Joint Engineering Laboratory of System Credi-bility Automatic Verification,Southwest Jiaotong University,Chengdu 610031,China;School of Mathematics,Southwest Jiaotong University,Chengdu 610031,China)

机构地区：[1]西南交通大学计算机与人工智能学院,四川成都610031 [2]四川省无线电监测站,四川成都610052 [3]西南交通大学系统可信性自动验证国家地方联合工程实验室,四川成都610031 [4]西南交通大学数学学院,四川成都610031

出　　处：《西南交通大学学报》2021年第4期713-719,共7页Journal of Southwest Jiaotong University

基　　金：国家自然科学基金(61673320,61976130);中央高校基本科研业务费专项资金(2682021GF012);四川省教育厅自然科学基金(18ZB0589);教育部人文社会科学研究项目(20XJCZH016);四川省科技计划(2020YJ0270)。

摘　　要：考虑到方位角计算是AOA(angle of arrival)定位的基础之一,首先,提出了以大地坐标计算方位角的球面近似法和正轴圆柱投影-平面法;进而,建立了球面精确AOA定位方程、球面近似AOA定位方程和正轴圆柱投影-平面AOA定位方程;最后,采用无约束非线性规划方法建立了基于大地坐标的分别与上述方程相对应的3个最优化AOA定位模型,并以网格逐点搜索求解法进行了模型验证.验证结果的分析表明:在不考虑测向误差时,球面精确AOA定位模型的精度最高,且与纬度无关,但其定位运算时间最长;球面近似AOA定位模型和正轴圆柱投影-平面AOA定位模型的精度均较高,后者的定位误差略大于前者,定位运算时间也长于前者;要提高AOA定位网的定位精度,既可提高各站点的测向精度,也可增加测向站点数,并应综合考虑定位时效性要求和精度要求选择合适的AOA定位模型.Given that azimuth calculation is fundamental to angle-of-arrival(AOA)localization,the spherical approximation method and normal cylindrical projection-plane method for azimuth calculation on geodetic coordinates are proposed firstly.Furthermore,the AOA localization equations based on spherical accuracy calculation,spherical approximation calculation,and normal cylindrical projection-rectangle are established respectively.Finally,the unconstrained nonlinear programming method is used to establish the three optimization AOA localization models on geodetic coordinates,which correspond to the above equations respectively,and the models are verified by the point-by-point grid search method.The numerical results show without considering the direction-finding error,the spherical accuracy AOA localization model has the highest precision,which is independent of latitude,but its positioning operation time is the longest.As for the spherical approximation AOA localization model and the normal cylindrical projection-rectangle AOA localization model,both have a high precision,the positioning error of the latter is slightly higher than that of the former,and its positioning operation time is also longer than that of the former.The positioning accuracy of AOA localization network can be improved by increasing either the direction finding accuracy of each site or the number of direction finding sites.The appropriate AOA localization model is selected according to the overall positioning requirements of the timeliness and precision.

关 键 词：无源定位 AOA定位 方位角计算 最优化模型 大地坐标 

分 类 号：TN802[电子电信—信息与通信工程]