Analysis of Moving Object Imaging from Compressively Sensed SAR Data in the Presence of Dictionary Mismatch

We present compressed sensing (CS) synthetic aperture radar (SAR) moving target imaging in the presence of dictionary mismatch. Unlike existing work on CS SAR moving target imaging, we analyze the sensitivity of the imaging process to the mismatch and present an iterative scheme to cope with diction...

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Main Authors: Ahmed Shaharyar Khwaja, Muhammad Naeem, Alagan Anpalagan
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2013/142602
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author Ahmed Shaharyar Khwaja
Muhammad Naeem
Alagan Anpalagan
author_facet Ahmed Shaharyar Khwaja
Muhammad Naeem
Alagan Anpalagan
author_sort Ahmed Shaharyar Khwaja
collection DOAJ
description We present compressed sensing (CS) synthetic aperture radar (SAR) moving target imaging in the presence of dictionary mismatch. Unlike existing work on CS SAR moving target imaging, we analyze the sensitivity of the imaging process to the mismatch and present an iterative scheme to cope with dictionary mismatch. We analyze and investigate the effects of mismatch in range and azimuth positions, as well as range velocity. The analysis reveals that the reconstruction error increases with the mismatch and range velocity mismatch is the major cause of error. Instead of using traditional Laplacian prior (LP), we use Gaussian-Bernoulli prior (GBP) for CS SAR imaging mismatch. The results show that the performance of GBP is much better than LP. We also provide the Cramer-Rao Bounds (CRB) that demonstrate theoretically the lowering of mean square error between actual and reconstructed result by using the GBP. We show that a combination of an upsampled dictionary and the GBP for reconstruction can deal with position mismatch effectively. We further present an iterative scheme to deal with the range velocity mismatch. Numerical and simulation examples demonstrate the accuracy of the analysis as well as the effectiveness of the proposed upsampling and iterative scheme.
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institution Kabale University
issn 1687-5869
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spelling doaj-art-6b6c976ee64244d4a0e40ea7e4845ba12025-08-20T03:34:00ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772013-01-01201310.1155/2013/142602142602Analysis of Moving Object Imaging from Compressively Sensed SAR Data in the Presence of Dictionary MismatchAhmed Shaharyar Khwaja0Muhammad Naeem1Alagan Anpalagan2Department of Electrical and Computer Engineering, Ryerson University, Toronto, ON, M5B 2K3, CanadaDepartment of Electrical and Computer Engineering, Ryerson University, Toronto, ON, M5B 2K3, CanadaDepartment of Electrical and Computer Engineering, Ryerson University, Toronto, ON, M5B 2K3, CanadaWe present compressed sensing (CS) synthetic aperture radar (SAR) moving target imaging in the presence of dictionary mismatch. Unlike existing work on CS SAR moving target imaging, we analyze the sensitivity of the imaging process to the mismatch and present an iterative scheme to cope with dictionary mismatch. We analyze and investigate the effects of mismatch in range and azimuth positions, as well as range velocity. The analysis reveals that the reconstruction error increases with the mismatch and range velocity mismatch is the major cause of error. Instead of using traditional Laplacian prior (LP), we use Gaussian-Bernoulli prior (GBP) for CS SAR imaging mismatch. The results show that the performance of GBP is much better than LP. We also provide the Cramer-Rao Bounds (CRB) that demonstrate theoretically the lowering of mean square error between actual and reconstructed result by using the GBP. We show that a combination of an upsampled dictionary and the GBP for reconstruction can deal with position mismatch effectively. We further present an iterative scheme to deal with the range velocity mismatch. Numerical and simulation examples demonstrate the accuracy of the analysis as well as the effectiveness of the proposed upsampling and iterative scheme.http://dx.doi.org/10.1155/2013/142602
spellingShingle Ahmed Shaharyar Khwaja
Muhammad Naeem
Alagan Anpalagan
Analysis of Moving Object Imaging from Compressively Sensed SAR Data in the Presence of Dictionary Mismatch
International Journal of Antennas and Propagation
title Analysis of Moving Object Imaging from Compressively Sensed SAR Data in the Presence of Dictionary Mismatch
title_full Analysis of Moving Object Imaging from Compressively Sensed SAR Data in the Presence of Dictionary Mismatch
title_fullStr Analysis of Moving Object Imaging from Compressively Sensed SAR Data in the Presence of Dictionary Mismatch
title_full_unstemmed Analysis of Moving Object Imaging from Compressively Sensed SAR Data in the Presence of Dictionary Mismatch
title_short Analysis of Moving Object Imaging from Compressively Sensed SAR Data in the Presence of Dictionary Mismatch
title_sort analysis of moving object imaging from compressively sensed sar data in the presence of dictionary mismatch
url http://dx.doi.org/10.1155/2013/142602
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