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Principal Component Analysis (PCA) in the Context of Radar Polarimetry

Boerner, Wolfgang-Martin and Lüneburg, Ernst and Danklmayer, Andreas (2007) Principal Component Analysis (PCA) in the Context of Radar Polarimetry. The Electromagnetic Academy. Progress in Electromagnetics Research Symposium (PIERS), 2007-03-26 - 2007-03-30, Peking, China. ISSN 1559-9450

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Official URL: http://www.piers.org

Abstract

Statistical and computational techniques for revealing the internal structure that underlies the set of random correlated data exists in a great variety at present; and target decomposition theorems, either in the coherent or incoherent formulation, are well established. In spite of this fact a rather innovative and new concept is presented in this contribution. In turn the Principal Component Analysis (PCA) is considered to possibly add value to existing approaches, and it allows for an interpretation of polarimetric synthetic aperture radar measurements using variables obtained via linear transformation. Starting with the Sinclair backscatter matrix S which will be further transformed into the so called target feature vector by stacking column elements of S and generating the covariance matrices averaged over a certain pixel array, we show, how the Sinclair backscatter matrix is decomposed into the sum of a maximum of four 2 x 2 elementary point scatter matrices which are weighted by the principal components, whereas the variances of these components agree with the eigenvalues of the covariance matrix. This mathematical development defines a decomposition which expresses scattering mechanism from distributed targets in terms of scattering matrices via an incoherent step.

Document Type:Conference or Workshop Item (Speech, Paper)
Title:Principal Component Analysis (PCA) in the Context of Radar Polarimetry
Authors:
AuthorsInstitution or Email of Authors
Boerner, Wolfgang-MartinUniversity of Chicago, UIC-ECE Communications, Sensing & Navigation Laboratory, USA
Lüneburg, ErnstEML Consultants, Germany
Danklmayer, AndreasUNSPECIFIED
Date:March 2007
Refereed publication:No
In ISI Web of Science:No
Publisher:The Electromagnetic Academy
ISSN:1559-9450
Status:Published
Keywords:Radar Polarimetry
Event Title:Progress in Electromagnetics Research Symposium (PIERS)
Event Location:Peking, China
Event Type:international Conference
Event Dates:2007-03-26 - 2007-03-30
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 SAR-Expert-Support-Lab (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Microwaves and Radar Institute > Microwave Systems
Microwaves and Radar Institute
Deposited By: Dr.-Ing. Andreas Danklmayer
Deposited On:04 Apr 2007
Last Modified:12 Dec 2013 20:21

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