基于改进3D-ESPRIT算法的GTD模型参数估计与目标识别

doi:10.12305/j.issn.1001-506X.2021.02.07

摘要/Abstract

摘要：

针对低信噪比条件下，传统的基于旋转不变技术的三维信号参数估计(three-dimensional estimating signal parameter via rotational invariance te chniques, 3D-ESPRIT)算法和平方前后向平滑的3D-ESPRIT(quadr atic-forward-backward 3D-ESPRIT, Q-FB-3D-ESPRIT)算法对几何绕射理论(geometric theory of diffraction, GTD)模型参数估计精度显著降低的问题，提出改进的极化Q-FB-3D-ESPRIT (polarized-Q-FB-3D-ESPRIT, PQ-FB-3D-ESPRIT)算法。改进算法与上述两种传统算法相比，增加了对目标极化信息的利用，有效延长了可利用电磁散射数据的长度。仿真结果表明，改进算法的参数估计精度要高于其他两种算法，且在低信噪比情况下尤为显著。此外，还对基于散射中心模型的雷达目标识别进行了研究，仿真结果进一步验证了所提算法的可行性。

关键词: 参数估计, 散射中心, 几何绕射理论散射中心模型, 3D-ESPRIT算法, 目标识别

Abstract:

Aiming at the problem that the traditional three-dimensional estimating signal parameter via rotational invariance techniques (3D-ESPRIT) algorithm and quadratic-forward-backward 3D-ESPRIT (Q-FB-3D-ESPRIT) algorithm significantly reduce the estimation accuracy of geometric theory of diffraction (GTD) model parameters under the condition of low signal to noise ratio (SNR), an improved polarized-Q-FB-3D-ESPRIT (PQ-FB-3D-ESPRIT) algorithm is proposed. Compared with the above two traditional algorithms, the improved algorithm increases the use of target polarization information and effectively extends the length of available electromagnetic scattering data. The simulation results show that the parameter estimation accuracy of the improved algorithm is higher than that of the other two algorithms, especially in the case of low SNR. In addition, the radar target recognition based on scattering center model is studied, and the simulation results further verify the feasibility of the proposed algorithm.

Key words: parameter estimation, scattering center, geometric theory of diffraction (GTD) scattering center model, three-dimensional estimating signal parameter via rotational invariance techniques (3D-ESPRIT) algorithm, target recognition

中图分类号:

TN957

徐嘉华, 张小宽, 郑舒予, 宗彬锋, 郑书昌. 基于改进3D-ESPRIT算法的GTD模型参数估计与目标识别[J]. 系统工程与电子技术, 2021, 43(2): 336-342.

Jiahua XU, Xiaokuan ZHANG, Shuyu ZHENG, Binfeng ZONG, Shuchang ZHENG. GTD model parameter estimation and target recognition based on improved 3D-ESPRIT algorithm[J]. Systems Engineering and Electronics, 2021, 43(2): 336-342.

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算法名称	计算协方差矩阵
3D-ESPRIT算法	P²Q²L²(M－P+1)(N－Q+1)(K－L+1)
Q-FB-3D-ESPRIT算法	(3P²Q²L²+PQL)(M－P+1)(N－Q+1)(K－L+1)+P³Q³L³
PQ-FB-3D-ESPRIT算法	4[(3P²Q²L²+PQL)(M－P+1)(N－Q+1)(K－L+1)+P³Q³L³]

x_i/m	y_i/m	z_i/m	散射类型α_i	散射强度A_i
0.81	1.10	1.13	1.000	4.000
1.24	1.28	1.27	0.500	3.000
1.63	1.80	1.62	0	2.000
1.82	2.50	1.87	-1.000	1.000

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