基于改进正交匹配追踪算法的属性散射中心提取

doi:10.12305/j.issn.1001-506X.2021.08.07

系统工程与电子技术 ›› 2021, Vol. 43 ›› Issue (8): 2076-2082.doi: 10.12305/j.issn.1001-506X.2021.08.07

基于改进正交匹配追踪算法的属性散射中心提取

徐嘉华*, 张小宽, 郑舒予, 宗彬锋, 张敬伟

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

收稿日期:2020-07-27 出版日期:2021-08-01 发布日期:2021-08-05
通讯作者: 徐嘉华
作者简介:徐嘉华(1997—), 男, 硕士研究生, 主要研究方向为雷达目标探测与识别|张小宽(1973—), 男, 教授, 硕士研究生导师, 博士, 主要研究方向为雷达目标探测与识别|郑舒予(1996—), 男, 硕士研究生, 主要研究方向为雷达信号处理、雷达目标探测与识别|宗彬锋(1988—), 男, 讲师, 博士, 主要研究方向为天线与电磁波传输|张敬伟(1969—), 男, 硕士研究生, 主要研究方向为雷达目标识别和电子对抗
基金资助:
国家自然科学基金(61701528);目标与环境电磁散射辐射国防科技重点实验室(STES201401-1)

Attribute scattering center extraction based on improved orthogonal matching pursuit algorithm

Jiahua XU*, Xiaokuan ZHANG, Shuyu ZHENG, Binfeng ZONG, Jingwei ZHANG

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

Received:2020-07-27 Online:2021-08-01 Published:2021-08-05
Contact: Jiahua XU

摘要/Abstract

摘要：

属性散射中心模型是描述目标后向电磁散射特性的典型模型, 但其中传统的正交匹配追踪(orthogonal matching pursuit, OMP)算法提取模型时具有参数复杂度高、计算时间长等问题。对此提出一种基于稀疏字典的广义正交性的改进OMP算法, 快速定位模型位置参数值, 避免了正交匹配中的寻优过程, 从而降低算法的运算复杂度。通过对两类算法计算复杂度和计算精度进行多次蒙特卡罗实验比较得出，改进OMP算法提高了模型参数的估计精度与噪声鲁棒性, 且大幅降低了算法的运算复杂度, 相比于传统的OMP算法, 运算时间至少降低30%。

关键词: 属性散射中心, 参数提取, 正交匹配追踪, 数据重构

Abstract:

The attribute scattering center model is a typical model to describe the backward electromagnetic scattering characteristics of the target, but the traditional orthogonal matching pursuit(OMP) algorithm has the problems of high complexity and long computation time when extracting the model parameters. Therefore, an improved OMP algorithm based on the generalized orthogonality of sparse dictionaries is proposed, which can quickly locate the position parameters of the model and avoid the optimization process in orthogonal matching for reducing the computational complexity of the algorithm. By comparing the computational complexity and computational accuracy of the two types of algorithms using multiple Monte Carlo experiments, the results show that the improved OMP algorithm improves the estimation accuracy and noise robustness of the model parameters, and significantly reduces the computational complexity of the algorithm. Compared with the traditional OMP algorithm, the computational time is reduced by at least 30%.

Key words: attributed scattering center, parameter extraction, orthogonal matching pursuit (OMP), data reconstruction

中图分类号:

TN957

徐嘉华, 张小宽, 郑舒予, 宗彬锋, 张敬伟. 基于改进正交匹配追踪算法的属性散射中心提取[J]. 系统工程与电子技术, 2021, 43(8): 2076-2082.

Jiahua XU, Xiaokuan ZHANG, Shuyu ZHENG, Binfeng ZONG, Jingwei ZHANG. Attribute scattering center extraction based on improved orthogonal matching pursuit algorithm[J]. Systems Engineering and Electronics, 2021, 43(8): 2076-2082.

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散射中心	参数
散射中心	A_n	α_n	L_n	x_n	$\overline \phi $_n	γ_n
Sc₁	1	0.5	1.2	-3	0	10^-10
Sc₂	1	-0.5	0	0.2	0	0
Sc₃	1	1	1	-1.1	0	10^-10
Sc₄	1	0.5	0	1.2	0	0
Sc₅	1	1	1	-2	0	10^-10

维度	算法
维度	传统OMP	优化OMP
A	1.211 4	0.024 9
B	37.663 7	0.052 9
C	67.361 2	0.100 4
D	108.454 9	0.196 3

维度	算法
维度	传统OMP	优化OMP
A	1.211 4	0.024 9
B	1.695 1	0.058 2
C	5.049 7	0.099 7
D	9.100 4	0.206 0

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基于改进正交匹配追踪算法的属性散射中心提取

Attribute scattering center extraction based on improved orthogonal matching pursuit algorithm

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