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On the Gersgorin Disc Theorem applied to Radar Polarimetry

Danklmayer, Andreas and Boerner, Wolfgang-Martin and Chandra, Madhu (2006) On the Gersgorin Disc Theorem applied to Radar Polarimetry. In: European Conference on Synthetic Aperture Radar (EUSAR). VDE VERLAG GMBH, Berlin und Offenbach, Bismarckstraße 33, D-10625 Berlin. European Conference on Synthetic Aperture Radar (EUSAR), [2006-05-16 - 2006-05-18], Dresden, Germany.

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Abstract

This contribution is concerned with the mathematical formulation and theoretical background of the discs in the context of Radar Polarimetry. We consider strict radar backscattering, the monostatic case, character-ised by the random Sinclair matrix S(t) in a common linear basis. Using the target feature vectors leads to the Hermitian positive semidefinite Covariance matrices, where the eigenvalues are obtained by unitarily diagonali-zation. A special region G(A), called the discs and the associated boundaries denoted by circles is considered to be of possible value in revealing information about the eigenvalues of a given Covariance matrices. We arrive at particular classes of easily computed regions in the plane that are guaranteed to include the eigenvalues of a given covariance matrix.

Document Type:Conference or Workshop Item (Speech, Paper)
Title:On the Gersgorin Disc Theorem applied to Radar Polarimetry
Authors:
AuthorsInstitution or Email of Authors
Danklmayer, AndreasUNSPECIFIED
Boerner, Wolfgang-MartinUniversity of Chicago, UIC-ECE Communications, Sensing & Navigation Laboratory, USA
Chandra, MadhuTUC, Technical University of Chemnitz
Date:May 2006
Journal or Publication Title:European Conference on Synthetic Aperture Radar (EUSAR)
Refereed publication:No
In ISI Web of Science:No
Publisher:VDE VERLAG GMBH, Berlin und Offenbach, Bismarckstraße 33, D-10625 Berlin
Status:Published
Keywords:Radar Polarimetry, Covariance matrix analysis, Gersgorin theory
Event Title:European Conference on Synthetic Aperture Radar (EUSAR)
Event Location:Dresden, Germany
Event Type:international Conference
Event Dates:[2006-05-16 - 2006-05-18]
Organizer:ITG, VDE, DLR, EADS, FGAN, EADS ASTRIUM
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
Deposited By: Dr.-Ing. Andreas Danklmayer
Deposited On:29 May 2006
Last Modified:12 Dec 2013 20:19

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