二维GTD模型参数估计的PQ-FB-2D-ESPRIT算法

doi:10.3969/j.issn.1001-506X.2020.06.11

Abstract

Abstract:

2D-estimating signal parameter via rotational invariance techniques (2D-ESPRIT) is a classical algorithm to estimate parameters of the two dimensional (2D) geometric theory of diffraction (GTD) model. However, the parameter estimation accuracy and noise robustness of 2D-ESPRIT are poor as signal-to-noise ratio (SNR) decreases. To solve the problem, a polarized-quadratic-forward-backward-2D-ESPRIT (PQ-FB-2D-ESPRIT) algorithm is proposed, which improves noise robustness and parameter estimation performance effectively. The improved algorithm makes full use of the polarization information of radar targets, squares the covariance matrix and performs forward-backward smoothing on the novel covariance matrix. Therefore, the parameter estimation performance and data utilization are improved significantly by this improved algorithm. Simulation experiments verify that the proposed PQ-FB-2D-ESPRIT algorithm has a better noise robustness and more stable parameter estimation performance than the classical 2D-ESPRIT algorithm, forward-backward-2D-ESPRIT (FB-2D-ESPRIT) algorithm and quadratic-FB-2D-ESPRIT (Q-FB-2D-ESPRIT) algorithm. Based on the GTD model parameters estimated by different algorithms, the positioning accuracies of scattering centers are compared, which can validate the superiorty and effectiveness of the proposed algorithm.

Key words: parameter estimation, scattering center, 2D-geometric theory of diffraction (2D-GTD) model, 2D-estimation of signal parameters via rotational invariance techniques (2D-ESPRIT) algorithm, conjugate matrix

CLC Number:

TN957

Shuyu ZHENG, Xiaokuan ZHANG, Binfeng ZONG, Jiahua XU, Jiang LI. PQ-FB-2D-ESPRIT algorithm for parameter estimation of 2D-GTD model[J]. Systems Engineering and Electronics, 2020, 42(6): 1283-1289.

Figures/Tables 9

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典型散射结构	α取值
二面角、三面角、平面法向反射	1
单曲面反射、圆柱面反射	0.5
双曲面反射、球面反射	0
边缘绕射	-0.5
尖顶绕射	-1

x_i/m	y_i/m	散射类型α_i	散射强度A_i
1.200	1.100	1.000	6.000
1.250	1.150	0.500	5.000
2.050	1.800	0	4.000
2.200	2.500	1.000	3.000

算法类型	计算协方差矩阵
2D-ESPRIT算法	P²Q²(M-P+1)(N-Q+1)
FB-2D-ESPRIT算法	(3P²Q²+PQ)(M-P+1)(N-Q+1)
Q-FB-2D-ESPRIT算法	(3P²Q²+PQ)(M-P+1)(N-Q+1)+P³Q³
PQ-FB-2D-ESPRIT算法	4[(3P²Q²+PQ)(M-P+1)(N-Q+1)+P³Q³]

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PQ-FB-2D-ESPRIT algorithm for parameter estimation of 2D-GTD model

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