Tomographic SAR Imaging Method Based on Sparse and Low-rank Structures

This paper proposes a three-dimensional tomographic SAR imaging method based on a combined sparse and low-rank structures. The traditional Compressed Sensing (CS) based tomographic SAR imaging methods only utilize the sparse representation and reconstruct along the elevation axis of a given azimuth-...

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Main Authors: Yao ZHAO, Juncong XU, Xiangyin QUAN, Li CUI, Zhe ZHANG
Format: Article
Language:English
Published: China Science Publishing & Media Ltd. (CSPM) 2022-02-01
Series:Leida xuebao
Subjects:
Online Access:https://radars.ac.cn/cn/article/doi/10.12000/JR21210
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author Yao ZHAO
Juncong XU
Xiangyin QUAN
Li CUI
Zhe ZHANG
author_facet Yao ZHAO
Juncong XU
Xiangyin QUAN
Li CUI
Zhe ZHANG
author_sort Yao ZHAO
collection DOAJ
description This paper proposes a three-dimensional tomographic SAR imaging method based on a combined sparse and low-rank structures. The traditional Compressed Sensing (CS) based tomographic SAR imaging methods only utilize the sparse representation and reconstruct along the elevation axis of a given azimuth-distance unit. Considering that the target distributions in cities, forests, and other cases are relatively similar, the elevation backscattering patterns of adjacent azimuth-range cells (pixels) are expected to be highly correlated. The proposed method introduces the Karhunen-Loeve transform to characterize the low-rank structures of the elevation of the target areas and constructs a tomographic SAR imaging model that combines sparse and low-rank structures. The ADMM algorithm is applied to solve the tomographic SAR imaging model, the complex original optimization problem is decomposed into several relatively simple sub-problems, and the tomographic SAR imaging results are obtained by the alternate projection of optimization variables. This method improves the reconstruction accuracy in the case of a few interferograms or channels and has better imaging performance. Simulations and real data experiments show that the reconstruction method can effectively separate the scatterers and ensure the accuracy of the reconstruction energy, maintain a good imaging performance under the condition of reducing the number of interferograms or channels, and effectively suppress the artifacts.
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spelling doaj.art-363a5a3445054f8caf4aff654a5ca12d2023-12-02T20:25:26ZengChina Science Publishing & Media Ltd. (CSPM)Leida xuebao2095-283X2022-02-01111526110.12000/JR21210R21210Tomographic SAR Imaging Method Based on Sparse and Low-rank StructuresYao ZHAO0Juncong XU1Xiangyin QUAN2Li CUI3Zhe ZHANG4Guangdong University of Technology, Guangzhou 510006, ChinaGuangdong University of Technology, Guangzhou 510006, ChinaChina Academy of Launch Vehicle Technology, Beijing 100076, ChinaBeijing Institute of Remote Sensing, Beijing 100192, ChinaSuzhou Aerospace Information Research Institute, Suzhou 215000, ChinaThis paper proposes a three-dimensional tomographic SAR imaging method based on a combined sparse and low-rank structures. The traditional Compressed Sensing (CS) based tomographic SAR imaging methods only utilize the sparse representation and reconstruct along the elevation axis of a given azimuth-distance unit. Considering that the target distributions in cities, forests, and other cases are relatively similar, the elevation backscattering patterns of adjacent azimuth-range cells (pixels) are expected to be highly correlated. The proposed method introduces the Karhunen-Loeve transform to characterize the low-rank structures of the elevation of the target areas and constructs a tomographic SAR imaging model that combines sparse and low-rank structures. The ADMM algorithm is applied to solve the tomographic SAR imaging model, the complex original optimization problem is decomposed into several relatively simple sub-problems, and the tomographic SAR imaging results are obtained by the alternate projection of optimization variables. This method improves the reconstruction accuracy in the case of a few interferograms or channels and has better imaging performance. Simulations and real data experiments show that the reconstruction method can effectively separate the scatterers and ensure the accuracy of the reconstruction energy, maintain a good imaging performance under the condition of reducing the number of interferograms or channels, and effectively suppress the artifacts.https://radars.ac.cn/cn/article/doi/10.12000/JR21210three-dimensional (3-d) imagingsar tomographysparselow-rankkarhunen loeve transform
spellingShingle Yao ZHAO
Juncong XU
Xiangyin QUAN
Li CUI
Zhe ZHANG
Tomographic SAR Imaging Method Based on Sparse and Low-rank Structures
Leida xuebao
three-dimensional (3-d) imaging
sar tomography
sparse
low-rank
karhunen loeve transform
title Tomographic SAR Imaging Method Based on Sparse and Low-rank Structures
title_full Tomographic SAR Imaging Method Based on Sparse and Low-rank Structures
title_fullStr Tomographic SAR Imaging Method Based on Sparse and Low-rank Structures
title_full_unstemmed Tomographic SAR Imaging Method Based on Sparse and Low-rank Structures
title_short Tomographic SAR Imaging Method Based on Sparse and Low-rank Structures
title_sort tomographic sar imaging method based on sparse and low rank structures
topic three-dimensional (3-d) imaging
sar tomography
sparse
low-rank
karhunen loeve transform
url https://radars.ac.cn/cn/article/doi/10.12000/JR21210
work_keys_str_mv AT yaozhao tomographicsarimagingmethodbasedonsparseandlowrankstructures
AT juncongxu tomographicsarimagingmethodbasedonsparseandlowrankstructures
AT xiangyinquan tomographicsarimagingmethodbasedonsparseandlowrankstructures
AT licui tomographicsarimagingmethodbasedonsparseandlowrankstructures
AT zhezhang tomographicsarimagingmethodbasedonsparseandlowrankstructures