Two-Dimensional DOA Estimation of MIMO Radar Coherent Source Based on Toeplitz Matrix Set Reconstruction

In order to realize the high-precision direction of arrival (DOA) estimation of the coherent source of two-dimensional multiple-input and multiple-output (MIMO) radar, a solution is given by combining Toeplitz matrix set reconstruction. MIMO radar obtains a larger aperture with fewer arrays. Traditi...

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Main Authors: Fei Zhang, Aisuo Jin, Yin Hu
Format: Article
Language:English
Published: Hindawi-Wiley 2021-01-01
Series:Security and Communication Networks
Online Access:http://dx.doi.org/10.1155/2021/6631196
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spelling doaj-90d22e0a203245f1a323242b8251d0092021-02-15T12:52:42ZengHindawi-WileySecurity and Communication Networks1939-01141939-01222021-01-01202110.1155/2021/66311966631196Two-Dimensional DOA Estimation of MIMO Radar Coherent Source Based on Toeplitz Matrix Set ReconstructionFei Zhang0Aisuo Jin1Yin Hu2School of Electronic Information, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu 212000, ChinaSchool of Electronic Information, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu 212000, ChinaSchool of Electronic Information, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu 212000, ChinaIn order to realize the high-precision direction of arrival (DOA) estimation of the coherent source of two-dimensional multiple-input and multiple-output (MIMO) radar, a solution is given by combining Toeplitz matrix set reconstruction. MIMO radar obtains a larger aperture with fewer arrays. Traditional two-dimensional reconstruction Toeplitz-like algorithms use part of the information in the construction of two correlation matrices or covariance matrices to construct the Toeplitz matrix when performing two-dimensional coherent source DOA estimation, which makes the information utilization incomplete and requires additional denoising processing. To solve the above problems, this paper proposes an improved Toeplitz matrix set reconstruction algorithm based on the two-dimensional reconstruction Toeplitz class algorithm. The complete array element receiving signal vector is used to construct two Toeplitz matrix sets containing complete information, and then their conjugate transposes. Multiply and sum to correct the matrix to obtain a full-rank matrix, so as to achieve the purpose of decoherence and combine the traditional ESPRIT algorithm to perform two one-dimensional reconstruction processing through rotation invariance and then perform angle matching to achieve two-dimensional coherent signal angle estimation, while avoiding additional denoising processing. Finally, the simulation results of the cross array and the L-shaped array verify the effectiveness of the algorithm in this paper and further extend it to the two-dimensional MIMO radar array model and compare it with the traditional ESPRIT-like algorithm and the REC-FBSS-ESPRIT algorithm. In comparison, the algorithm in this paper has better performance under the conditions of successful resolution, DOA estimation accuracy, and low signal-to-noise ratio.http://dx.doi.org/10.1155/2021/6631196
collection DOAJ
language English
format Article
sources DOAJ
author Fei Zhang
Aisuo Jin
Yin Hu
spellingShingle Fei Zhang
Aisuo Jin
Yin Hu
Two-Dimensional DOA Estimation of MIMO Radar Coherent Source Based on Toeplitz Matrix Set Reconstruction
Security and Communication Networks
author_facet Fei Zhang
Aisuo Jin
Yin Hu
author_sort Fei Zhang
title Two-Dimensional DOA Estimation of MIMO Radar Coherent Source Based on Toeplitz Matrix Set Reconstruction
title_short Two-Dimensional DOA Estimation of MIMO Radar Coherent Source Based on Toeplitz Matrix Set Reconstruction
title_full Two-Dimensional DOA Estimation of MIMO Radar Coherent Source Based on Toeplitz Matrix Set Reconstruction
title_fullStr Two-Dimensional DOA Estimation of MIMO Radar Coherent Source Based on Toeplitz Matrix Set Reconstruction
title_full_unstemmed Two-Dimensional DOA Estimation of MIMO Radar Coherent Source Based on Toeplitz Matrix Set Reconstruction
title_sort two-dimensional doa estimation of mimo radar coherent source based on toeplitz matrix set reconstruction
publisher Hindawi-Wiley
series Security and Communication Networks
issn 1939-0114
1939-0122
publishDate 2021-01-01
description In order to realize the high-precision direction of arrival (DOA) estimation of the coherent source of two-dimensional multiple-input and multiple-output (MIMO) radar, a solution is given by combining Toeplitz matrix set reconstruction. MIMO radar obtains a larger aperture with fewer arrays. Traditional two-dimensional reconstruction Toeplitz-like algorithms use part of the information in the construction of two correlation matrices or covariance matrices to construct the Toeplitz matrix when performing two-dimensional coherent source DOA estimation, which makes the information utilization incomplete and requires additional denoising processing. To solve the above problems, this paper proposes an improved Toeplitz matrix set reconstruction algorithm based on the two-dimensional reconstruction Toeplitz class algorithm. The complete array element receiving signal vector is used to construct two Toeplitz matrix sets containing complete information, and then their conjugate transposes. Multiply and sum to correct the matrix to obtain a full-rank matrix, so as to achieve the purpose of decoherence and combine the traditional ESPRIT algorithm to perform two one-dimensional reconstruction processing through rotation invariance and then perform angle matching to achieve two-dimensional coherent signal angle estimation, while avoiding additional denoising processing. Finally, the simulation results of the cross array and the L-shaped array verify the effectiveness of the algorithm in this paper and further extend it to the two-dimensional MIMO radar array model and compare it with the traditional ESPRIT-like algorithm and the REC-FBSS-ESPRIT algorithm. In comparison, the algorithm in this paper has better performance under the conditions of successful resolution, DOA estimation accuracy, and low signal-to-noise ratio.
url http://dx.doi.org/10.1155/2021/6631196
work_keys_str_mv AT feizhang twodimensionaldoaestimationofmimoradarcoherentsourcebasedontoeplitzmatrixsetreconstruction
AT aisuojin twodimensionaldoaestimationofmimoradarcoherentsourcebasedontoeplitzmatrixsetreconstruction
AT yinhu twodimensionaldoaestimationofmimoradarcoherentsourcebasedontoeplitzmatrixsetreconstruction
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