Interpolation of the GNSS Wet Troposphere Delay

Troposphere delay is one of the main distance-dependent errors in Global Navigation Satellite Systems (GNSS) observations. Precise estimation of the troposphere wet delay is necessary to aid ambiguity resolution and for positioning in network Real-Time Kinematic (RTK) and Precise Point Positioning....

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Main Authors: Lo, Johnny, El-Mowafy, Ahmed
Format: Conference Paper
Published: New Zealand Institute of Surveyors and the Surveying and Spatial Sciences Institute. ONLINE publication 2011
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/28323
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author Lo, Johnny
El-Mowafy, Ahmed
author_facet Lo, Johnny
El-Mowafy, Ahmed
author_sort Lo, Johnny
building Curtin Institutional Repository
collection Online Access
description Troposphere delay is one of the main distance-dependent errors in Global Navigation Satellite Systems (GNSS) observations. Precise estimation of the troposphere wet delay is necessary to aid ambiguity resolution and for positioning in network Real-Time Kinematic (RTK) and Precise Point Positioning. Wet tropospheric estimates can also serve as a source of atmospheric information to facilitate weather forecasting. Interpolation of the troposphere wet delay is thus required when its estimation is interrupted for short periods or when data are processed at higher intervals from that of available data. The objective of this research is to compare the performance of several interpolation methods that can be used in order to suggest the most appropriate technique. Six interpolation models were considered. The models ranged from the easy-to-implement linear model, to the more sophisticated Kriging model. Other models considered are the cubic spline interpolation, cubic Hermite polynomial interpolation, Lagrange polynomial interpolation, and Fast Fourier transform interpolation. The performance of these methods was assessed by comparing their results with actual troposphere wet delay data collected at the station Onsala (ONSA) in Sweden. As the number of observations used to generate the interpolation process affects the determination of the model coefficients; the use of different lengths of observations was investigated. The number of missing wet delay values considered for interpolation during testing ranged from one to four in a row.Test results showed that the linear interpolation, the cubic Hermite polynomial and fast Fourier transform models produce better estimates than splines and ordinary Kriging. The Lagrange polynomials method was the poorest performer. The paper provides explanation of the interpolation results achieved by linking them with autocorrelation of the troposphere wet delays.
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last_indexed 2025-11-14T08:09:41Z
publishDate 2011
publisher New Zealand Institute of Surveyors and the Surveying and Spatial Sciences Institute. ONLINE publication
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spelling curtin-20.500.11937-283232023-01-27T05:25:53Z Interpolation of the GNSS Wet Troposphere Delay Lo, Johnny El-Mowafy, Ahmed GNSS Precise Positioning Troposphere wet Delay Interpolation Troposphere delay is one of the main distance-dependent errors in Global Navigation Satellite Systems (GNSS) observations. Precise estimation of the troposphere wet delay is necessary to aid ambiguity resolution and for positioning in network Real-Time Kinematic (RTK) and Precise Point Positioning. Wet tropospheric estimates can also serve as a source of atmospheric information to facilitate weather forecasting. Interpolation of the troposphere wet delay is thus required when its estimation is interrupted for short periods or when data are processed at higher intervals from that of available data. The objective of this research is to compare the performance of several interpolation methods that can be used in order to suggest the most appropriate technique. Six interpolation models were considered. The models ranged from the easy-to-implement linear model, to the more sophisticated Kriging model. Other models considered are the cubic spline interpolation, cubic Hermite polynomial interpolation, Lagrange polynomial interpolation, and Fast Fourier transform interpolation. The performance of these methods was assessed by comparing their results with actual troposphere wet delay data collected at the station Onsala (ONSA) in Sweden. As the number of observations used to generate the interpolation process affects the determination of the model coefficients; the use of different lengths of observations was investigated. The number of missing wet delay values considered for interpolation during testing ranged from one to four in a row.Test results showed that the linear interpolation, the cubic Hermite polynomial and fast Fourier transform models produce better estimates than splines and ordinary Kriging. The Lagrange polynomials method was the poorest performer. The paper provides explanation of the interpolation results achieved by linking them with autocorrelation of the troposphere wet delays. 2011 Conference Paper http://hdl.handle.net/20.500.11937/28323 New Zealand Institute of Surveyors and the Surveying and Spatial Sciences Institute. ONLINE publication fulltext
spellingShingle GNSS
Precise Positioning
Troposphere wet Delay
Interpolation
Lo, Johnny
El-Mowafy, Ahmed
Interpolation of the GNSS Wet Troposphere Delay
title Interpolation of the GNSS Wet Troposphere Delay
title_full Interpolation of the GNSS Wet Troposphere Delay
title_fullStr Interpolation of the GNSS Wet Troposphere Delay
title_full_unstemmed Interpolation of the GNSS Wet Troposphere Delay
title_short Interpolation of the GNSS Wet Troposphere Delay
title_sort interpolation of the gnss wet troposphere delay
topic GNSS
Precise Positioning
Troposphere wet Delay
Interpolation
url http://hdl.handle.net/20.500.11937/28323