球直坐标变换非对称误差分析  

Analysis of Asymmetric Error Caused by Transformation from Spherical Coordinates to Cartesian Coordinates

作　　者：李慧敏[1] 马可[1] 范学祯 LI Huimin;MA Ke;FAN Xuezhen(Xi’an Electronic Engineering Research Institute,Xi’an 710100)

机构地区：[1]西安电子工程研究所,西安710100

出　　处：《火控雷达技术》2023年第1期64-68,共5页Fire Control Radar Technology

摘　　要：单站测量设备一般在球坐标系下获取原始的距离、角度测量数据,然后转换到直角坐标下进行处理。这种非线性变换将导致误差分布产生畸变,直角坐标系不再保持对称性,从而引起目标位置的有偏估计。以直线运动轨迹为例,对误差分布的非对称性进行了分析,并说明这种非对称性对于近程测量设备来说更为明显。For most monostatic detection systems,raw measurements of range and angle are extracted in spherical coordinates,while data processing is performed in Cartesian coordinates.The non-linear coordinate transformation distorts the error distribution,which eventually results in asymmetric error and biased-estimation of target position in Cartesian coordinates.The property of asymmetric error in a rectilinear motion scenario is analyzed as an example.The asymmetric error is more notable for short-range measurement systems.

关 键 词：单站 非对称误差 坐标变换 球坐标 最小二乘 近距 

分 类 号：TN957.51[电子电信—信号与信息处理]