基于改进3D-ESPRIT算法的三维GTD模型参数估计

doi:10.13190/j.jbupt.2019-261

北京邮电大学学报 ›› 2020, Vol. 43 ›› Issue (4): 32-38.doi: 10.13190/j.jbupt.2019-261

基于改进3D-ESPRIT算法的三维GTD模型参数估计

郑舒予¹, 张小宽², 宗彬锋², 徐嘉华¹

1. 空军工程大学研究生院, 西安 710051;
2. 空军工程大学防空反导学院, 西安 710051

收稿日期:2019-12-07 发布日期:2020-08-15
通讯作者: 张小宽(1973-),男,教授,E-mail:ezxk@sina.com. E-mail:ezxk@sina.com
作者简介:郑舒予(1996-),男,硕士生.
基金资助:
国家自然科学基金项目（61372033）；目标与环境电磁环境辐射重点实验室创新基金项目（STES2014-2）

Parameter Estimation of the 3D-GTD Model Based on a Modified 3D-ESPRIT Algorithm

ZHENG Shu-yu¹, ZHANG Xiao-kuan², ZONG Bin-feng², XU Jia-hua¹

1. The Graduate School of Air Force Engineering University, Xi'an 710051, China;
2. Air and Missile Defense College of Air Force Engineering University, Xi'an 710051, China

Received:2019-12-07 Published:2020-08-15

摘要/Abstract

摘要： 三维旋转不变子空间（3D-ESPRIT）算法估计三维几何绕射理论（GTD）的散射中心模型时，参数精度不高，噪声鲁棒性较差，为此，提出一种改进的3D-ESPRIT算法.通过构建原始回波数据的共轭矩阵、对协方差矩阵叠加、取平均、平方处理，可提高对目标原始回波数据的利用率，并增大信号特征值与噪声特征值之间的差距，增大了信噪比，从而提高参数的估计精度.基于不同算法估计得到的三维GTD模型参数，比较了不同算法估计的参数均方差.仿真结果表明，改进算法的参数估计性能及噪声鲁棒性均优于经典3D-ESPRIT算法和改进的免配对3D-ESPRIT算法.

关键词: 参数估计, 散射中心, 三维几何绕射理论模型, 三维旋转不变子空间算法

Abstract: The noise robustness and parameter estimation performance of the classical three-dimensional estimating signal parameter via rotational invariance techniques (3D-ESPRIT) algorithm are poor when estimating parameters of the three dimensional geometric theory of diffraction(3D-GTD) model at low signal-to-noise ratio (SNR). To solve this problem, a modified algorithm is proposed. The modified algorithm improves the parameter estimation accuracy by constructing conjugated matrix of the original back-scattered data, averaging the covariance matrices and performing quadratic power on the total covariance matrix to get another novel covariance matrix. The modified algorithm can broaden the differences between the eigenvalues of noises and signals, which is equivalent to increase SNR. Based on the parameters estimated by different algorithms, root-mean-square-errors of different parameters can be compared. Simulations verify that the parameter estimation performance and noise robustness of the modified algorithm are better than the classical 3D-ESPRIT algorithm and the improved algorithm without pair.

Key words: parameter estimation, scattering center, three-dimensional geometric theory of diffraction model, three-dimensional estimating signal parameter via rotational invariance techniques

中图分类号:

TN957

郑舒予, 张小宽, 宗彬锋, 徐嘉华. 基于改进3D-ESPRIT算法的三维GTD模型参数估计[J]. 北京邮电大学学报, 2020, 43(4): 32-38.

ZHENG Shu-yu, ZHANG Xiao-kuan, ZONG Bin-feng, XU Jia-hua. Parameter Estimation of the 3D-GTD Model Based on a Modified 3D-ESPRIT Algorithm[J]. Journal of Beijing University of Posts and Telecommunications, 2020, 43(4): 32-38.

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基于改进3D-ESPRIT算法的三维GTD模型参数估计

Parameter Estimation of the 3D-GTD Model Based on a Modified 3D-ESPRIT Algorithm

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