多基纯方位目标交叉定位中的非线性最小二乘方法

Bearing-Only Target Cross Location of Multi-Station based on Nonlinear Least Squares

纯方位目标定位方法广泛应用于被动探测系统中,通常采用最小二乘方法对多基平台交叉定位结果进行估计定位。在纯方位定位估计中的最小二乘方法主要采用线性近似法,但难以满足实用中的非线性特性,因此导致定位精度难以提高。从非线性估计出发,利用牛顿迭代的非线性最小二乘估计算法对交叉定位结果进行估计,保留了二阶以上的观测误差,迭代趋于收敛。仿真结果表明与线性近似法相比,牛顿迭代法提高了定位精度,增强了定位稳定性,有效地改善了多基纯方位目标定位系统的定位性能。

The technology of Bearing-Only Target Loction is extensively applied to the passive detection system, which usually adopts the method of least squares in order to estimate the result of location of multi-station. This technology is mostly use of the approach of linear approximation, which cannot deal with the nonlinear nature in applications. We propose a Newton iterative algorithm for the estimation of nonlinear least squares to estimate the cross location results, which retains second order observation error and is convergent. The result of the simulation experiment indicates that this approach obviously improves the precision and stabilization of the location for this passive detection system.