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A Joint Test Statistic Considering Complex Wishart Distribution: Characterization of Temporal Polarimetric Data

Erten, Esra and Reigber, Andreas and Schneider, Rafael and Hellwich, Olaf (2008) A Joint Test Statistic Considering Complex Wishart Distribution: Characterization of Temporal Polarimetric Data. In: Proceedings of the International Society for Photogrammetry and Remote Sensing (ISPRS), p. 4. International Society for Photogrammetry and Remote Sensing (ISPRS), 2008-07-03 - 2008-07-11, Beijing, China.

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Official URL: http://www.isprs2008-beijing.org/

Abstract

Polarimetric data of distributed scatterers can be fully characterized by the $(3 imes 3)$ Hermitian positive definite matrix which follows a complex Wishart distribution under Gaussian assumption. A second observation in time will also follow Wishart distribution. Then, these observations are correlated or uncorrelated process over time related to the monitored objects. To not to make any assumption concerning their independence, the $(6 imes 6)$ matrix which is also modeled as a complex Wishart distribution is used in this study to characterize the behavior of the temporal polarimetric data. According to the complex density function of $(6 imes 6)$ matrix, the joint statistics of two polarimetric observation is extracted. The results obtained in terms of the joint and the marginal distributions of Wishart process are based on the explicit closed-form expressions that can be used in pdf (probability density function) based statistical analysis. Especially, these statistical analysis can be a key parameter in target detection, change detection and SAR sequence tracking problem. As demonstrated the bias of the joint distribution can decrease with noise free signal and with increasing the canonical correlation parameter, number of looks and number of acquired SAR images. The results of this work are analyzed by means of simulated data.

Document Type:Conference or Workshop Item (Speech, Paper)
Title:A Joint Test Statistic Considering Complex Wishart Distribution: Characterization of Temporal Polarimetric Data
Authors:
AuthorsInstitution or Email of Authors
Erten, EsraUNSPECIFIED
Reigber, AndreasUNSPECIFIED
Schneider, RafaelUNSPECIFIED
Hellwich, OlafTU Berlin
Date:July 2008
Journal or Publication Title:Proceedings of the International Society for Photogrammetry and Remote Sensing (ISPRS)
Refereed publication:No
In ISI Web of Science:No
Page Range:p. 4
Status:Published
Keywords:polarimetric SAR, temporal analysis, tracking, change detection, complex wishart
Event Title:International Society for Photogrammetry and Remote Sensing (ISPRS)
Event Location:Beijing, China
Event Type:international Conference
Event Dates:2008-07-03 - 2008-07-11
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: Esra Erten
Deposited On:05 Aug 2008
Last Modified:12 Dec 2013 20:32

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