基于约束总体最小二乘算法的全极化散射中心参数估计

Parametric Estimation of Full Polarization Scattering Centers Based on CTLS

本文以散射中心的指数衰减和模型(Damped Exponentials,DE)为基础将全极化散射中心的参数提取问题转化为全极化信息融合的约束总体最小二乘(Constrained Total Least Squares,CTLS)算法问题,据此计算出全部散射中心的距离参数和类型参数,然后利用最小二乘法求解全极化测量方程,得到每个散射中心的复幅度信息,从而获得每个散射中心的散射矩阵,其中散射矩阵与类型参数是密切相关的.然后分析了其中参数估计的精度问题,针对极化通道噪声方差的不同提出了相应的改进算法.最后进行了仿真,并与单极化散射中心估计参数作了对比,结果证实了该方法的有效性,为雷达极化信息与散射中心的有效融合提供了新方法.

The parametric estimation of the fully polarized scattering center is studied.The key problem is solved by the Constrained Total Least Squares（CTLS） method based on the Damped Exponentials（DE） model of the fully polarized scattering centers,and then the estimations of the distances and types can be obtained.Then via solving the measurement-equation,the complex amplitudes of the scattering matrix are derived using Total Least Squares（TLS） method.The precisions are considered through calculating the means and variances of the estimated parameters. And more, the estimated theory is developed to adapt to another situation of different noise covariance in different channels. At last simulations are performed and our estimation theory is proved to be effective.