The TOA-LS Estimation for Multilateration Based on Bancroft's Algorithm

LIN Yun-song; SUN Zhuo-zhen; PENG Liang-fu

doi:10.3969/j.issn.0372-2112.2012.03.036

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The TOA-LS Estimation for Multilateration Based on Bancroft's Algorithm

更新时间：2025-07-16

- The TOA-LS Estimation for Multilateration Based on Bancroft's Algorithm
- Acta Electronica Sinica Vol. 40, Issue 3, Pages: 621-624(2012)
- 作者机构：
  
  1. 电子科技大学自动化工程学院,四川,成都,611731
  2. 西南民族大学电气信息工程学院,四川,成都,610041
  3. 电子科技大学自动化工程学院四川成都,611731
  4. 西南民族大学电气信息工程学院四川成都,610041
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.0372-2112.2012.03.036
  CLC： TN953
- Published：2012
- 稿件说明：
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LIN Yun-song, SUN Zhuo-zhen, PENG Liang-fu. The TOA-LS Estimation for Multilateration Based on Bancroft's Algorithm[J]. Acta Electronica Sinica, 2012, 40(3): 621-624.
DOI：

LIN Yun-song, SUN Zhuo-zhen, PENG Liang-fu. The TOA-LS Estimation for Multilateration Based on Bancroft's Algorithm[J]. Acta Electronica Sinica, 2012, 40(3): 621-624. DOI： 10.3969/j.issn.0372-2112.2012.03.036.

摘要

由于目标信号的发射时间未知

无源定位技术大多利用TDOA(到达时间差)进行目标定位.本文将求解GPS单点定位的Bancroft算法应用于TOA(到达时间)多点定位方程的求解

提出了基于Bancroft算法的无源多点定位TOA-LS(最小二乘)估计算法.TOA-LS包含三个线性方程

其加权系数与目标位置和目标信号发射时间相关.采用Bancroft算法给出初始值并求解TOA-LS方程

完成加权系数的迭代更新.仿真结果表明对不同几何位置的目标

TOA-LS估计可获得接近理论方差下界的近似最优的性能.

Abstract

The traditional location methods for passive localization are TDOA (Time Difference of Arrival) based due to the unknown TOE (Time Of Emission).Based on Bancroft's algorithm

which was developed for GPS single-point position

the TOA least squares (TOA-LS) estimation algorithm for passive multilateration is proposed.The TOA-LS equations are composed of three linear equations whose coefficients are dependent on the target position and TOE.Using Bancroft's algorithm with some initial values

the TOA-LS algorithm solves the linear equations for new solutions and updates their coefficients.Simulation experiments demonstrate that the TOA-LS algorithm is near optimal and attaining the theoretical lower bound for targets in different geometric positions.

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