|国家预印本平台
首页|一种新的约束总体最小二乘法及其在角度定位中的应用

一种新的约束总体最小二乘法及其在角度定位中的应用

New Constrained Total Least Squares and Its Applying in Angle Location

中文摘要英文摘要

本文提出了一种新的约束总体最小二乘法(Modify CTLS),其原理是将系数矩阵和数据矢量对加性量测量进行二阶Taylor展开。我们提出的新的约束总体最小二乘法使得其一阶和二阶扰动量的和最小,并进行了扰动分析。将方位角量测的非线性方程转换成目标状态量的线性方程,将真实角度信息方程利用二阶泰勒展开转化为量测角度信息加上噪声信息的方程,从而可以利用MCTLS的方法对定位方程求解。分析了定位误差,计算机仿真结果验证了该算法的可行性与有效性。最后是附录,给出了定位的CRB界与定位的GDOP图

In this paper, a modify constrained total least square is proposed, expanding the coefficients matrix and number vector second order taylor series at the measurement vector, this MCTLS is to minimum the second perturbation by measurement error, analysis the perturbation. Transforming the nonlinear equations about bearing into linear equations for target state vector, and using taylor expanding to change the real bearing equations into the equation for measurement bearing plus noise, so can use MCTLS to solve the location parameters. And analysis the location error, computer simulation proves the validity and feasibility of this algorithm. Finally,the appendix, the location’s CRB and GDOP is given.

李万春、肖先赐、魏平

数学通信无线电导航

修改约束总体最小二乘法角度定位性能分析

MCTLSDOA locationPerformance analysis

李万春,肖先赐,魏平.一种新的约束总体最小二乘法及其在角度定位中的应用[EB/OL].(2007-04-03)[2025-08-19].http://www.paper.edu.cn/releasepaper/content/200704-84.点此复制

评论