雷达科学与技术Issue(6)：621-625,632,6.DOI:10.3969/j.issn.1672-2337.2013.06.011
基于最小二乘的时差定位算法
TDOA Location Algorithms Based on the Least Squares
摘要
Abstract
Time difference of arrival(TDOA)defines a nonlinear hyperbola equation,which can be transformed into a linear equation by introducing an intermediate variable.Some TDOA algorithms using this technique are summarized.When the knowledge of measurement errors is available,two-step weighted least squares method and constrained weighted least squares method are appropriate.Otherwise,constrained total least squares method is another option.Lagrange method can be used to find the solution of constrained least squares problem,but suffering from large calculation.The Gauss-Newton method can greatly reduce the cal-culation and improve the accuracy and stability of the solution.What’s more,the relationship between con-strained weighted least squares and constrained total least squares is discussed and the equivalent condition is obtained.关键词
时差/两步最小二乘法/约束最小二乘法/约束总体最小二乘法Key words
time difference of arrival(TDOA)/two-step least-squares/constrained least-squares/con-strained total least-squares分类
信息技术与安全科学引用本文复制引用
苏峰,王昌海,徐征..基于最小二乘的时差定位算法[J].雷达科学与技术,2013,(6):621-625,632,6.基金项目
航空电子系统综合技术重点实验室和航空科学基金联合资助 （）
