The Use of FFT Method in Geoid Modelling

The paper presents the spectral method known as Fast Fourier Transform (FFT) to compute discrete convolution integrals. Geoid heights are computed by reformulating the Stokes' equation in convolution form and using gridded residual gravity anomalies as input data. Discrete spectra of the kerne...

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Main Author: Wan Mohd Akib , Wan Abdul Aziz
Format: Article
Language:English
Published: Fakulti Ukur dan Harta Tanah 1996
Subjects:
Online Access:http://eprints.utm.my/4889/
http://eprints.utm.my/4889/1/TheUse.pdf
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author Wan Mohd Akib , Wan Abdul Aziz
author_facet Wan Mohd Akib , Wan Abdul Aziz
author_sort Wan Mohd Akib , Wan Abdul Aziz
building UTeM Institutional Repository
collection Online Access
description The paper presents the spectral method known as Fast Fourier Transform (FFT) to compute discrete convolution integrals. Geoid heights are computed by reformulating the Stokes' equation in convolution form and using gridded residual gravity anomalies as input data. Discrete spectra of the kernel functions are used for the geoid heights appending simultaneously zero-padding around the input gravity matrix in order to avoid circular convolution effects. This procedure provides identical results to those from the rigorous numerical integration. The computed quantities are compared to a set of geoid heights derived from a contribution of GPS traverse with levelled orthometric heights.
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format Article
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institution Universiti Teknologi Malaysia
institution_category Local University
language English
last_indexed 2025-11-15T20:49:37Z
publishDate 1996
publisher Fakulti Ukur dan Harta Tanah
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repository_type Digital Repository
spelling utm-48892010-06-01T03:21:38Z http://eprints.utm.my/4889/ The Use of FFT Method in Geoid Modelling Wan Mohd Akib , Wan Abdul Aziz TA Engineering (General). Civil engineering (General) The paper presents the spectral method known as Fast Fourier Transform (FFT) to compute discrete convolution integrals. Geoid heights are computed by reformulating the Stokes' equation in convolution form and using gridded residual gravity anomalies as input data. Discrete spectra of the kernel functions are used for the geoid heights appending simultaneously zero-padding around the input gravity matrix in order to avoid circular convolution effects. This procedure provides identical results to those from the rigorous numerical integration. The computed quantities are compared to a set of geoid heights derived from a contribution of GPS traverse with levelled orthometric heights. Fakulti Ukur dan Harta Tanah 1996-09 Article PeerReviewed application/pdf en http://eprints.utm.my/4889/1/TheUse.pdf Wan Mohd Akib , Wan Abdul Aziz (1996) The Use of FFT Method in Geoid Modelling. Buletin Ukur, 7 (2). ISSN 0128-4274
spellingShingle TA Engineering (General). Civil engineering (General)
Wan Mohd Akib , Wan Abdul Aziz
The Use of FFT Method in Geoid Modelling
title The Use of FFT Method in Geoid Modelling
title_full The Use of FFT Method in Geoid Modelling
title_fullStr The Use of FFT Method in Geoid Modelling
title_full_unstemmed The Use of FFT Method in Geoid Modelling
title_short The Use of FFT Method in Geoid Modelling
title_sort use of fft method in geoid modelling
topic TA Engineering (General). Civil engineering (General)
url http://eprints.utm.my/4889/
http://eprints.utm.my/4889/1/TheUse.pdf