The Loewner Order and Direction of Detected Change in Sentinel-1 and Radarsat-2 Data

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Abstract

When the covariance matrix formulation is used for multilook polarimetric synthetic aperture radar (SAR) data, the complex Wishart distribution can be used for change detection between acquisitions at two or more time points. Here, we are concerned with the analysis of change between two time points and the “direction” of change: Does the radar response increase, decrease, or does it change its structure/nature between the two time points? This is done by postprocessing/coprocessing the detected change with the Loewner order which calculates the definitenessof the difference of the covariance matrices at the two time points. We briefly describe the theory. Two case studies illustrate the technique on Sentinel-1 data covering the international Frankfurt Airport, Germany, and on Radarsat-2 data covering Bonn, Germany, and surroundings. We successfully demonstrate our “direction” of change approach to detected change areas.
Original languageEnglish
JournalI E E E Geoscience and Remote Sensing Letters
Number of pages5
ISSN1545-598X
DOIs
Publication statusAccepted/In press - 2019

Keywords

  • Complex covariance matrices
  • Complex wishart distribution
  • Hermitian matrices
  • Polarimetric synthetic aperture radar (SAR)

Cite this

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title = "The Loewner Order and Direction of Detected Change in Sentinel-1 and Radarsat-2 Data",
abstract = "When the covariance matrix formulation is used for multilook polarimetric synthetic aperture radar (SAR) data, the complex Wishart distribution can be used for change detection between acquisitions at two or more time points. Here, we are concerned with the analysis of change between two time points and the “direction” of change: Does the radar response increase, decrease, or does it change its structure/nature between the two time points? This is done by postprocessing/coprocessing the detected change with the Loewner order which calculates the definitenessof the difference of the covariance matrices at the two time points. We briefly describe the theory. Two case studies illustrate the technique on Sentinel-1 data covering the international Frankfurt Airport, Germany, and on Radarsat-2 data covering Bonn, Germany, and surroundings. We successfully demonstrate our “direction” of change approach to detected change areas.",
keywords = "Complex covariance matrices, Complex wishart distribution, Hermitian matrices, Polarimetric synthetic aperture radar (SAR)",
author = "Nielsen, {Allan Aasbjerg} and Henning Skriver and Knut Conradsen",
year = "2019",
doi = "10.1109/LGRS.2019.2918636",
language = "English",
journal = "I E E E Geoscience and Remote Sensing Letters",
issn = "1545-598X",
publisher = "Institute of Electrical and Electronics Engineers",

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TY - JOUR

T1 - The Loewner Order and Direction of Detected Change in Sentinel-1 and Radarsat-2 Data

AU - Nielsen, Allan Aasbjerg

AU - Skriver, Henning

AU - Conradsen, Knut

PY - 2019

Y1 - 2019

N2 - When the covariance matrix formulation is used for multilook polarimetric synthetic aperture radar (SAR) data, the complex Wishart distribution can be used for change detection between acquisitions at two or more time points. Here, we are concerned with the analysis of change between two time points and the “direction” of change: Does the radar response increase, decrease, or does it change its structure/nature between the two time points? This is done by postprocessing/coprocessing the detected change with the Loewner order which calculates the definitenessof the difference of the covariance matrices at the two time points. We briefly describe the theory. Two case studies illustrate the technique on Sentinel-1 data covering the international Frankfurt Airport, Germany, and on Radarsat-2 data covering Bonn, Germany, and surroundings. We successfully demonstrate our “direction” of change approach to detected change areas.

AB - When the covariance matrix formulation is used for multilook polarimetric synthetic aperture radar (SAR) data, the complex Wishart distribution can be used for change detection between acquisitions at two or more time points. Here, we are concerned with the analysis of change between two time points and the “direction” of change: Does the radar response increase, decrease, or does it change its structure/nature between the two time points? This is done by postprocessing/coprocessing the detected change with the Loewner order which calculates the definitenessof the difference of the covariance matrices at the two time points. We briefly describe the theory. Two case studies illustrate the technique on Sentinel-1 data covering the international Frankfurt Airport, Germany, and on Radarsat-2 data covering Bonn, Germany, and surroundings. We successfully demonstrate our “direction” of change approach to detected change areas.

KW - Complex covariance matrices

KW - Complex wishart distribution

KW - Hermitian matrices

KW - Polarimetric synthetic aperture radar (SAR)

U2 - 10.1109/LGRS.2019.2918636

DO - 10.1109/LGRS.2019.2918636

M3 - Journal article

JO - I E E E Geoscience and Remote Sensing Letters

JF - I E E E Geoscience and Remote Sensing Letters

SN - 1545-598X

ER -