Parameter estimation of GTD model and RCS extrapolation based on a modified 3D-ESPRIT algorithm

doi:10.23919/JSEE.2020.000065

Journal of Systems Engineering and Electronics ›› 2020, Vol. 31 ›› Issue (6): 1206-1215.doi: 10.23919/JSEE.2020.000065

• DEFENCE ELECTRONICS TECHNOLOGY • Previous Articles Next Articles

Parameter estimation of GTD model and RCS extrapolation based on a modified 3D-ESPRIT algorithm

Shuyu ZHENG^1,*(), Xiaokuan ZHANG¹(), Weichen ZHAO²(), Jianxiong ZHOU³(), Binfeng ZONG¹(), Jiahua XU¹()

¹ Air and Missile Defense College, Air Force Engineering University, Xi’an 710051, China
² College of Economics, Jilin University of Finance and Economics, Changchun 130022, China
³ School of Electronics Science and Engineering, National University of Defense Technology, Changsha 410073, China

Received:2019-12-23 Online:2020-12-29 Published:2020-12-29
Contact: Shuyu ZHENG E-mail:1846372244@qq.com;ezxk@sina.com;2065816439@qq.com;zjxjanet@yahoo.com.cn;zongbinfeng@sina.com;1019790242@qq.com
About author:|ZHENG Shuyu was born in 1996. He received his B.E. degree in fire control and command from Air Force Engineering University, Xi’an, China, in 2014. Now he is a postgraduate student in Air Force Engineering University. His current research interests include radar signal processing and theory of electromagnetic scattering. E-mail: 1846372244@qq.com||ZHANG Xiaokuan was born in 1973. He received his B.E. degree in radar engineering from Air Force Engineering University, Xi’an, China, in 1992, and M.E. and Ph.D. degrees in electronic science and technology from Air Force Engineering University, Xi’an, China, in 1996 and 2003, respectively. He is currently an professor in the Air and Missile Defense College, Air Force Engineering University, Xi’an, China. His current research interests include the theory of electromagnetic scattering and radar signal processing, RCS of stealth targets and electronic countermeasure. E-mail: ezxk@sina.com||ZHAO Weichen was born in 1995. She received her B.E. degree in economics from Changchun Science and Technology, Changchun, China, in 2014. Now she is a postgraduate student in Jilin University of Finance and Economics, Changchun, China. Her current research interests include western economics theory and economics analysis. E-mail: 2065816439@qq.com||ZHOU Jianxiong was born in 1977. She received her B.E. degree in electronics and M.E. and Ph.D. degrees in information and telecommunication systems from National University of Defense Technology (NUDT), China, in 2000, 2002, and 2006, respectively. She is currently a vice professor in the Automatic Target Recognition Lab, NUDT. Her research interests include target characteristics and radar signal processing. E-mail: zjxjanet@yahoo.com.cn||ZONG Binfeng was born in 1989. He received his B.E. degree in radar engineering from Air Force Engineering University, Xi’an, China, in 2010, and M.E. and Ph.D. degrees in electronic science and technology from Air Force Engineering University, Xi’an, China, in 2012 and 2016, respectively. He is currently an instructor in the Air and Missile Defense College, Air Force Engineering University, Xi’an, China. His current research interests include aviation electronics, millimeter wave antennas and arrays, and multiple input multiple output radar. E-mail: zongbinfeng@sina.com||XU Jiahua was born in 1997. He received his B.E. degree in radar engineering from Air Force Engineering University, Xi’an, China, in 2015. Now he is a postgraduate student in Air Force Engineering University. His current research interests include radar signal processing and theory of electromagnetic scattering. E-mail: 1019790242@qq.com
Supported by:
This work was supported by the National Natural Science Foundation of China (61372033)

Abstract

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 the parameters of the geometric theory of the diffraction (GTD) model are estimated at low signal-to-noise ratio (SNR). To solve this problem, a modified 3D-ESPRIT algorithm is proposed. The modified algorithm improves the parameter estimation accuracy by proposing a novel spatial smoothing technique. Firstly, we make cross-correlation of the auto-correlation matrices; then by averaging the cross-correlation matrices of the forward and backward spatial smoothing, we can obtain a novel equivalent spatial smoothing matrix. The formula of the modified algorithm is derived and the performance of this improved method is also analyzed. Then we compare root-mean-square-errors (RMSEs) of different parameters and the locating accuracy obtained by different algorithms. Furthermore, radar cross section (RCS) of radar targets is extrapolated. Simulation results verify the effectiveness and superiority of the modified 3D-ESPRIT algorithm.

Key words: parameter estimation, novel spatial smoothing, scattering center, geometric theory of diffraction (GTD) model, radar cross section (RCS) extrapolation

Shuyu ZHENG, Xiaokuan ZHANG, Weichen ZHAO, Jianxiong ZHOU, Binfeng ZONG, Jiahua XU. Parameter estimation of GTD model and RCS extrapolation based on a modified 3D-ESPRIT algorithm[J]. Journal of Systems Engineering and Electronics, 2020, 31(6): 1206-1215.

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Typical scattering structure	Value
Flat plate at broad-side, dihedral	1
Singly curved surface reflection	0.5
Point scattering, doubly curved surface	0
Edge diffraction	?0.5
Corner diffraction	?1

Scattering center	${x_i}/{\rm{m}}$	${y_i}/{\rm{m}}$	${\alpha _i}$	${A_i}$
Scattering center 1	1.212	1.100	1.000	6.000
Scattering center 2	1.453	1.253	0.500	5.000
Scattering center 3	1.634	1.802	0	4.000
Scattering center 4	1.823	2.522	1.000	3.000

Algorithm	Computational burden of constructing covariance matrix
3D-ESPRIT	$ {P^2}{Q^2}{L^2}(M - P + 1)(N - Q + 1)(K - L + 1) $
3D-MUSIC	${P^2}{Q^2}{L^2}(M - P + 1)(N - Q + 1)(K - L + 1) $
Proposed method	${P^2}{Q^2}{L^2}[3(M - P + 1)(N - Q + 1)(K - L + 1) + 2PQL + 1]$

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Parameter estimation of GTD model and RCS extrapolation based on a modified 3D-ESPRIT algorithm

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