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

Erten, Esra und Reigber, Andreas und Schneider, Rafael und 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), Seite 4. International Society for Photogrammetry and Remote Sensing (ISPRS), 2008-07-03 - 2008-07-11, Beijing, China.

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

Kurzfassung

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.

Dokumentart:Konferenzbeitrag (Vortrag, Paper)
Titel:A Joint Test Statistic Considering Complex Wishart Distribution: Characterization of Temporal Polarimetric Data
Autoren:
AutorenInstitution oder E-Mail-Adresse der Autoren
Erten, EsraNICHT SPEZIFIZIERT
Reigber, AndreasNICHT SPEZIFIZIERT
Schneider, RafaelNICHT SPEZIFIZIERT
Hellwich, OlafTU Berlin
Datum:Juli 2008
Erschienen in:Proceedings of the International Society for Photogrammetry and Remote Sensing (ISPRS)
Referierte Publikation:Nein
In ISI Web of Science:Nein
Seitenbereich:Seite 4
Status:veröffentlicht
Stichwörter:polarimetric SAR, temporal analysis, tracking, change detection, complex wishart
Veranstaltungstitel:International Society for Photogrammetry and Remote Sensing (ISPRS)
Veranstaltungsort:Beijing, China
Veranstaltungsart:internationale Konferenz
Veranstaltungsdatum:2008-07-03 - 2008-07-11
HGF - Forschungsbereich:Verkehr und Weltraum (alt)
HGF - Programm:Weltraum (alt)
HGF - Programmthema:W EO - Erdbeobachtung
DLR - Schwerpunkt:Weltraum
DLR - Forschungsgebiet:W EO - Erdbeobachtung
DLR - Teilgebiet (Projekt, Vorhaben):W - Vorhaben Flugzeug-SAR (alt)
Standort: Oberpfaffenhofen
Institute & Einrichtungen:Institut für Hochfrequenztechnik und Radarsysteme
Institut für Hochfrequenztechnik und Radarsysteme > SAR-Technologie
Hinterlegt von: Esra Erten
Hinterlegt am:05 Aug 2008
Letzte Änderung:12 Dez 2013 20:32

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