基于高斯－牛顿法的双基地雷达目标定位

为了提高复合双基地雷达系统对目标的定位精度,以及充分利用冗余信息,提出了基于高斯-牛顿算法的空间目标定位算法。该算法的特点是:使用发、收两站所有的观测数据构成一个非线性最小二乘定位方程,采用精度最高的一组测量子集解算出的定位解作为迭代算法的初始值,使初值逼近真值;给出了迭代算法的具体步骤,并将变步长策略引入到算法中,让迭代步长参数每步动态地变化使目标函数下降;推导了定位误差协方差矩阵的表达式,对定位精度进行了分析。仿真结果表明,该算法提高了迭代的收敛性和目标位置解的准确性,与简化加权最小二乘算法(SWLS)相比有更精确的目标定位解,从而使得整个受控区域内的定位精度有较大提高,定位性能得到优化和改善。

The Research of Target Location in Bistatic Radar System Based on Gauss-Newton Algorithm

For improving target's location accuracy and fully utilizing redundant information in complex bistatic radar systems,a new target location algorithm based on Gauss-Newton iterative is proposed.The key features of the algorithm are as follows: All the observation data from transmitting station and receiving station are adopted to compose a nonlinear least square equation,the location estimation resolved by a measurement subset which has higher accuracy among all subsets is utilized as an initialized value,which is close to the truth value.The idiographic flow about iterative algorithm is constituted and the strategy of changing the iterative step size is introduced so that the objective function is dynamically declined.Moreover,expressions of location error covariance matrix are deduced and the target's location accuracy is analyzed.Simulation shows that by using the algorithm,the iterative convergence and veracity of target location are improved.This algorithm,as compared with the SWLS algorithm,has more accurate target location solution.In this way,the location accuracy in the whole detected area is greatly enhanced and the capability of target location is optimized.