Compressive SAR Imaging Based on Modified Low-Rank and Sparse Decomposition

In this paper, we propose a novel imaging method for synthetic aperture radar (SAR) systems with compressive sensing (CS) by modifying the existing low-rank and sparse decomposition (LRSD) scheme. The proposed CS-based modified LRSD (CS-MLRSD) method uses 2D random sampling for SAR raw data compress...

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Main Authors: Jeong-Il Byeon, Wookyung Lee, Jihoon Choi
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Access
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Online Access:https://ieeexplore.ieee.org/document/10818467/
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author Jeong-Il Byeon
Wookyung Lee
Jihoon Choi
author_facet Jeong-Il Byeon
Wookyung Lee
Jihoon Choi
author_sort Jeong-Il Byeon
collection DOAJ
description In this paper, we propose a novel imaging method for synthetic aperture radar (SAR) systems with compressive sensing (CS) by modifying the existing low-rank and sparse decomposition (LRSD) scheme. The proposed CS-based modified LRSD (CS-MLRSD) method uses 2D random sampling for SAR raw data compression and then employs the dual-tree complex wavelet transform (DCWT) instead of singular value decomposition to more accurately reconstruct directional information in the low-rank background image. For the CS-MLRSD scheme, an iterative thresholding algorithm is derived to separately reconstruct the low-rank and sparse components. A bivariate shrinkage function is employed to threshold the wavelet coefficients for sparse representation of the low-rank part, while soft thresholding is used to sparsely represent the dominant objects in the image space. The proposed CS-MLRSD scheme is applicable to arbitrary SAR geometries in which the SAR imaging and inverse SAR imaging functions are defined. Numerical simulations using SAR modeling data validate the convergence of the proposed method and compare its computational complexity with baseline CS-SAR imaging schemes. Moreover, using both SAR modeling data and real SAR measurement data, the proposed scheme demonstrates significant improvements in reconstructed image quality compared to existing CS-SAR techniques.
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spelling doaj-art-c956c047c64549198ed9d15fa6e818c02025-01-07T00:01:30ZengIEEEIEEE Access2169-35362025-01-01131663167910.1109/ACCESS.2024.352408410818467Compressive SAR Imaging Based on Modified Low-Rank and Sparse DecompositionJeong-Il Byeon0Wookyung Lee1Jihoon Choi2https://orcid.org/0000-0002-5433-2241School of Electronics and Information Engineering, Korea Aerospace University, Goyang-si, Gyeonggi-do, South KoreaSchool of Electronics and Information Engineering, Korea Aerospace University, Goyang-si, Gyeonggi-do, South KoreaSchool of Electronics and Information Engineering, Korea Aerospace University, Goyang-si, Gyeonggi-do, South KoreaIn this paper, we propose a novel imaging method for synthetic aperture radar (SAR) systems with compressive sensing (CS) by modifying the existing low-rank and sparse decomposition (LRSD) scheme. The proposed CS-based modified LRSD (CS-MLRSD) method uses 2D random sampling for SAR raw data compression and then employs the dual-tree complex wavelet transform (DCWT) instead of singular value decomposition to more accurately reconstruct directional information in the low-rank background image. For the CS-MLRSD scheme, an iterative thresholding algorithm is derived to separately reconstruct the low-rank and sparse components. A bivariate shrinkage function is employed to threshold the wavelet coefficients for sparse representation of the low-rank part, while soft thresholding is used to sparsely represent the dominant objects in the image space. The proposed CS-MLRSD scheme is applicable to arbitrary SAR geometries in which the SAR imaging and inverse SAR imaging functions are defined. Numerical simulations using SAR modeling data validate the convergence of the proposed method and compare its computational complexity with baseline CS-SAR imaging schemes. Moreover, using both SAR modeling data and real SAR measurement data, the proposed scheme demonstrates significant improvements in reconstructed image quality compared to existing CS-SAR techniques.https://ieeexplore.ieee.org/document/10818467/Synthetic aperture radarcompressive sensinglow-rank and sparse decompositiondual-tree complex wavelet transform
spellingShingle Jeong-Il Byeon
Wookyung Lee
Jihoon Choi
Compressive SAR Imaging Based on Modified Low-Rank and Sparse Decomposition
IEEE Access
Synthetic aperture radar
compressive sensing
low-rank and sparse decomposition
dual-tree complex wavelet transform
title Compressive SAR Imaging Based on Modified Low-Rank and Sparse Decomposition
title_full Compressive SAR Imaging Based on Modified Low-Rank and Sparse Decomposition
title_fullStr Compressive SAR Imaging Based on Modified Low-Rank and Sparse Decomposition
title_full_unstemmed Compressive SAR Imaging Based on Modified Low-Rank and Sparse Decomposition
title_short Compressive SAR Imaging Based on Modified Low-Rank and Sparse Decomposition
title_sort compressive sar imaging based on modified low rank and sparse decomposition
topic Synthetic aperture radar
compressive sensing
low-rank and sparse decomposition
dual-tree complex wavelet transform
url https://ieeexplore.ieee.org/document/10818467/
work_keys_str_mv AT jeongilbyeon compressivesarimagingbasedonmodifiedlowrankandsparsedecomposition
AT wookyunglee compressivesarimagingbasedonmodifiedlowrankandsparsedecomposition
AT jihoonchoi compressivesarimagingbasedonmodifiedlowrankandsparsedecomposition