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Characterisation and improvement of the structure function estimation for application in PSI

Ulmer, Franz-Georg and Adam, Nico (2017) Characterisation and improvement of the structure function estimation for application in PSI. ISPRS Journal of Photogrammetry and Remote Sensing, 128, pp. 40-46. Elsevier. doi: 10.1016/j.isprsjprs.2017.03.005. ISSN 0924-2716.

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Official URL: http://www.sciencedirect.com/science/article/pii/S0924271617302204

Abstract

Abstract Numerical Weather Prediction (NWP) is becoming state of the art for the compensation of atmospheric effects in InSAR and especially in PSI. The structure function (variogram) estimated on the InSAR data and on the {NWP} data is a required statistical characteristic and very useful in the processing of the data. For example, the structure function (typically the semivariogram) estimated on InSAR data is fundamental for the Kriging of the atmospheric phase screen (APS) based on irregular {PSI} estimates. The required parameters are the nugget, the range and the slope of the structure function. The practical implementation has shown that the {NWP} predicted structure function and the InSAR estimated structure function based on the conventional semivariogram equation do not match. Straightforward explanations are wrongly estimated {APSs} due to an insufficient number of interferograms or hindcasts that fail to capture the turbulent water vapour signal. However, in this paper we explain the effects of noise in interferograms and coarse resolution in the {NWP} on the conventional structure function estimation resulting in the observed mismatch. In order to avoid the mismatch, an alternative implementation based on wavelets is suggested and demonstrated using real Sentinel-1 data. We show that the wavelet based structure function estimation outperforms the conventional structure function estimation based on a variogram. Application of the proposed structure function alternative based on {NWP} data are the master selection, the estimation of the effective {NWP} data resolution, and a statistical consistency check of the estimated InSAR APS. To support the understanding, we demonstrate the effects of noise and resolution using simulated fractals. An application of the proposed wavelet based structure function estimation is the estimation of the effective {NWP} data resolution, which is demonstrated using the same Sentinel-1 data test case.

Item URL in elib:https://elib.dlr.de/111659/
Document Type:Article
Title:Characterisation and improvement of the structure function estimation for application in PSI
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Ulmer, Franz-GeorgUNSPECIFIEDUNSPECIFIED
Adam, NicoUNSPECIFIEDUNSPECIFIED
Date:June 2017
Journal or Publication Title:ISPRS Journal of Photogrammetry and Remote Sensing
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:128
DOI :10.1016/j.isprsjprs.2017.03.005
Page Range:pp. 40-46
Editors:
EditorsEmailEditor's ORCID iD
Lichti, D.University of Calgary, Calgary, Alberta, CanadaUNSPECIFIED
Weng, Q,Indiana State University, Terre Haute, Indiana, USAUNSPECIFIED
Publisher:Elsevier
ISSN:0924-2716
Status:Published
Keywords:Weather Research and Forecasting model (WRF), Numerical Weather Prediction (NWP), DInSAR, Zenith Time Delay (ZTD), Global Positioning System (GPS), Refraction
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Earth Observation
DLR - Research area:Raumfahrt
DLR - Program:R EO - Earth Observation
DLR - Research theme (Project):R - SAR methods, R - Vorhaben hochauflösende Fernerkundungsverfahren (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Remote Sensing Technology Institute > SAR Signal Processing
Deposited By: Ulmer, Franz-Georg
Deposited On:31 Mar 2017 15:09
Last Modified:06 Sep 2019 15:28

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