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A Direct Comparison of SAR Processing as Non-Orthogonal Transform to both Fourier and Wavelet Transform

Fischer, Jens and Molkenthin, Thomas and Chandra, Madhu (2007) A Direct Comparison of SAR Processing as Non-Orthogonal Transform to both Fourier and Wavelet Transform. In: Proceedings of Wave Propagation in Communication, Microwaves Systems and Navigation (WFMN), pp. 91-96. Wave Propagation in Communication, Microwaves Systems and Navigation (WFMN), 2007-07-04 - 2007-07-05, Chemnitz (Germany).

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Abstract

The term 'SAR processing' is commonly used to denote the process of producing fully focused SAR images from SAR raw data. Beside its main task of applying a two-dimensional range-dependent convolution it simultaneously performs many other incorporated processing steps such as motion compensation, interference filtering, calibration, coregistration, geometry conversions, apodization techniques or speckle filtering. Above all, SAR processing can roughly be described as applying a two-dimensional convolution designed in order to reverse a two-dimensional convolution performed during the imaging process. This forward-backward process can be modelled as non-orthogonal transform and there are great similarities to both Fourier and Wavelet transform. Most modern fast SAR processing techniques rely on the Fourier transform as it is known to be the state-of-the-art technique for performing fast convolutions. However, in recent years, Wavelet transforms outperform the Fourier transform in terms of computational burden. It only requires O(n) or even O(log n) operations instead of O(n log n) operations. In a previous work, we derived the matrix form of SAR raw and image data from the continuous case and defined the SAR transform which maps the two matrices onto each other. We concluded that the SAR transform is a Wavelet transform. In this paper, we would like to do a direct comparison of Fourier, Wavelet and SAR transform. We analyse the way Fourier and Wavelet transform gain computational speed and show a perspective how this can be done for SAR processing.

Document Type:Conference or Workshop Item (Speech, Paper)
Title:A Direct Comparison of SAR Processing as Non-Orthogonal Transform to both Fourier and Wavelet Transform
Authors:
AuthorsInstitution or Email of Authors
Fischer, JensUNSPECIFIED
Molkenthin, ThomasChemnitz University of Technology, Chemnitz, Germany
Chandra, MadhuChemnitz University of Technology, Chemnitz, Germany
Date:July 2007
Journal or Publication Title:Proceedings of Wave Propagation in Communication, Microwaves Systems and Navigation (WFMN)
Refereed publication:No
In ISI Web of Science:No
Page Range:pp. 91-96
Status:Published
Keywords:SAR Processing, Fourier Transform, Wavelet Transform, SAR Transform, non-orthogonal transform, convolution
Event Title:Wave Propagation in Communication, Microwaves Systems and Navigation (WFMN)
Event Location:Chemnitz (Germany)
Event Type:international Conference
Event Dates:2007-07-04 - 2007-07-05
Organizer:ITG (VDE)
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Space (old)
HGF - Program Themes:W EO - Erdbeobachtung
DLR - Research area:Space
DLR - Program:W EO - Erdbeobachtung
DLR - Research theme (Project):W - Vorhaben Flugzeug-SAR (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Microwaves and Radar Institute
Microwaves and Radar Institute > SAR Technology
Deposited By: Jens Fischer
Deposited On:25 Feb 2008
Last Modified:12 Dec 2013 20:25

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