改进的非完全约束加权最小二乘TDOA/FDOA无源定位方法

TN957; 针对目前时差定位/频差定位混合无源定位算法存在的定位均方根误差(root mean square error,RMSE)和定位偏差适应测量噪声能力差的问题,提出一种基于泰勒级数展开的非完全约束加权最小二乘法.首先将无源定位问题转化为二次规划问题,简化约束条件,应用拉格朗日乘子法求解目标定位的值.然后将得到的解在原约束条件下进行泰勒级数展开,利用获得的结果进一步优化解析解.计算机仿真对比了所提方法和两步加权最小二乘法(two-stage weighted least squares,TSWLS)、改进的约束加权最小二乘法(constrained weighted least squ...

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Published in系统工程与电子技术 Vol. 40; no. 8; pp. 1686 - 1692
Main Authors 周恭谦, 杨露菁, 刘忠
Format Journal Article
LanguageChinese
Published 海军工程大学电子工程学院,湖北武汉,430033 01.08.2018
Subjects
泰勒级数
加权最小二乘法
频差定位
时差定位
Online AccessGet full text
ISSN1001-506X
DOI10.3969/j.issn.1001-506X.2018.08.03

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Abstract TN957; 针对目前时差定位/频差定位混合无源定位算法存在的定位均方根误差(root mean square error,RMSE)和定位偏差适应测量噪声能力差的问题,提出一种基于泰勒级数展开的非完全约束加权最小二乘法.首先将无源定位问题转化为二次规划问题,简化约束条件,应用拉格朗日乘子法求解目标定位的值.然后将得到的解在原约束条件下进行泰勒级数展开,利用获得的结果进一步优化解析解.计算机仿真对比了所提方法和两步加权最小二乘法(two-stage weighted least squares,TSWLS)、改进的约束加权最小二乘法(constrained weighted least squares,CWLS)、基于定位误差修正方法的定位性能,所提算法在兼顾实时性的同时,RMSE和定位偏差均低于TSWLS、CWLS、基于定位误差修正方法.
AbstractList TN957; 针对目前时差定位/频差定位混合无源定位算法存在的定位均方根误差(root mean square error,RMSE)和定位偏差适应测量噪声能力差的问题,提出一种基于泰勒级数展开的非完全约束加权最小二乘法.首先将无源定位问题转化为二次规划问题,简化约束条件,应用拉格朗日乘子法求解目标定位的值.然后将得到的解在原约束条件下进行泰勒级数展开,利用获得的结果进一步优化解析解.计算机仿真对比了所提方法和两步加权最小二乘法(two-stage weighted least squares,TSWLS)、改进的约束加权最小二乘法(constrained weighted least squares,CWLS)、基于定位误差修正方法的定位性能,所提算法在兼顾实时性的同时,RMSE和定位偏差均低于TSWLS、CWLS、基于定位误差修正方法.
Author 杨露菁
周恭谦
刘忠
AuthorAffiliation 海军工程大学电子工程学院,湖北武汉,430033
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LIU Zhong
YANG Lujing
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加权最小二乘法
频差定位
时差定位
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Title 改进的非完全约束加权最小二乘TDOA/FDOA无源定位方法
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