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Principal Component Analysis (PCA) in Radar Polarimetry

Boerner, Wolfgang-Martin and Danklmayer, Andreas and Cloude, Shane, R. (2006) Principal Component Analysis (PCA) in Radar Polarimetry. In: 2006, IVth International Workshop on Electromagnetic Wave Scattering, 1-33-1-38. International Workshop on Electromagnetic Wave Scattering (EWS), 2006-09-18 - 2006-09-22, Gebze, Turkey.

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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 which was proposed for radar polarimetry by late Dr. Ernst Lüneburg. In turn the Principal Component Analysis 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 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 this components agree with the eigenvalues of the covariance matrix. In conclusion 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 Radar Polarimetry
Authors:
AuthorsInstitution or Email of Authors
Boerner, Wolfgang-MartinUniversity of Chicago, UIC-ECE Communications, Sensing & Navigation Laboratory, USA
Danklmayer, AndreasUNSPECIFIED
Cloude, Shane, R.AEL Consultants, UK
Date:September 2006
Journal or Publication Title:2006, IVth International Workshop on Electromagnetic Wave Scattering
Refereed publication:No
In SCOPUS:No
In ISI Web of Science:No
Page Range:1-33-1-38
Editors:
EditorsEmail
Gebze Institute of Technology, UNSPECIFIED
Status:Published
Keywords:PCA, Radar Polarimetry
Event Title:International Workshop on Electromagnetic Wave Scattering (EWS)
Event Location:Gebze, Turkey
Event Type:international Conference
Event Dates:2006-09-18 - 2006-09-22
Organizer:Gebze Institut of Technology
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:30 Oct 2006
Last Modified:27 Apr 2009 13:12

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