基于Hankel矩阵改进TLS-ESPRIT算法的散射中心参数提取及RCS重构

doi:10.3969/j.issn.1001-506X.2021.01.09

摘要/Abstract

摘要：

基于几何绕射理论(geometrical theory of diffraction, GTD)的散射中心信号模型可以精确描述隐身目标电磁散射特性,将总体最小二乘-旋转矢量不变技术(total least squares-estimating signal parameter via rotational invariance techniques, TLS-ESPRIT)算法引入此模型中,为散射中心提取提供了超分辨率算法。针对TLS-ESPRIT算法在低信噪比条件下估计精度不高的问题,引入Hankel矩阵改进TLS-ESPRIT算法对回波数据处理的过程,改进后的算法提高了在低信噪比情况下对散射中心参数估计的精度,具有更好的噪声鲁棒性。在对目标的识别以及雷达散射截面(radar cross section, RCS)重构方面具有重要意义。

关键词: 总体最小二乘-旋转矢量不变技术算法, Hankel矩阵, 散射中心, 雷达散射截面重构

Abstract:

The scattering center signal model based on geometric diffraction theory (GTD) can accurately describe the electromagnetic scattering characteristics of stealth targets, and the total least squares-estimating signal parameter via rotational invariance technique (TLS-ESPRIT) algorithm is introduced into this model, providing a super-resolution algorithm for the extraction of scattering center. For the problem that the estimation precision of TLS-ESPRIT algorithm under the condition of low signal to noise ratio (SNR) is not high question, introducing the Hankel matrix to improve the TLS-ESPRIT algorithm for echo data processing, the improved algorithm improves the estimation accuracy of scattering center parameters at low SNR, has better noise robustness. It is of great significance in target recognition and radar cross section (RCS) reconstruction.

Key words: total least squares-estimating signal parameter via rotational invariance technique (TLS-ESPRIT) algorithm, Hankel matrix, scattering center, radar cross section (RCS) reconstruction

中图分类号:

TN957

李尚生, 王旭坤, 付哲泉, 张军涛. 基于Hankel矩阵改进TLS-ESPRIT算法的散射中心参数提取及RCS重构[J]. 系统工程与电子技术, 2021, 43(1): 62-73.

Shangsheng LI, Xukun WANG, Zhequan FU, Juntao ZHANG. Extraction of scattering center parameter and RCS reconstruction based on the improved TLS-ESPRIT algorithm of Hankel matrix[J]. Systems Engineering and Electronics, 2021, 43(1): 62-73.

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α	散射中心类型
1	平板反射、二面角散射
0.5	单曲面反射、圆柱面反射
0	点散射、双曲面散射、直边镜面反射
-0.5	边缘绕射
-1	尖顶绕射

序号	散射中心位置r_i/m	散射中心类型α_i	散射中心强度A_i/dB
1	0.175	0.500	12.000
2	0.401	-1.000	13.000
3	0.709	0.000	14.200
4	1.100	1.000	14.000
5	1.500	-0.500	10.000

序号	散射中心位置r_i/m	散射中心类型α_i	小动态范围散射中心强度A_i/dB	大动态范围散射中心强度A_i/dB
1	0.175	-1.000	6.000	3.000
2	0.401	-0.500	7.500	7.500
3	0.709	0.000	5.000	21.000
4	1.100	0.500	5.500	5.500
5	1.500	1.000	7.000	10.000
6	1.750	1.000	6.300	15.300
7	2.000	-1.000	7.200	7.200
8	2.350	0.500	5.200	18.200
9	2.560	-0.500	4.600	25.600

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