Comparison Among Three Harmonic Analysis Techniques on the Sphere and the Ellipsoid
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Hussein Abd-Elmotaal
,
Mostafa Abd-Elbaky
Abstract
The paper presents a comparison among three different techniques for harmonic analysis on the sphere and the ellipsoid. The EGM2008 global geopotential model has been used up to degree and order 360 in order to create gravity anomaly fields on both the sphere and the ellipsoid as the function fields of the current investigation. Harmonic analysis has then been carried out to compute the dimensionless potential coeficients using the created function fields. Three different harmonic analysis techniques have been applied: the least-squares technique, the Fast Fourier Transform (FFT) technique and the Gauss-Legendre numerical integration technique. The computed coeficients in spherical harmonics have then been compared with EGM2008 (in the frequency domain) and the computed fields on the sphere and the ellipsoid have been compared with fields created by EGM2008 up to degree and order 360 (in the space domain) in order to estimate the accuracy of the three different harmonic analysis techniques used within the current investigation. The results proved that the least-squares technique gives the best accuracy both in frequency and space domain. The FFT technique provides quite good results in a very short cpu time. The Gauss-Legendre technique gives the worst results among the presented techniques, but still the residuals in the space domain are negligibly small.
© 2014 by Walter de Gruyter Berlin/Boston
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- 10.1515/jag-2014-frontmatter1
- Research article
- Comparison Among Three Harmonic Analysis Techniques on the Sphere and the Ellipsoid
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Artikel in diesem Heft
- 10.1515/jag-2014-frontmatter1
- Research article
- Comparison Among Three Harmonic Analysis Techniques on the Sphere and the Ellipsoid
- Comparison of PSO, GAs and Analytical Techniques in Second-Order Design of Deformation Monitoring Networks
- Dynamic modeling of GNSS troposphere wet delay for estimation of Precipitable Water Vapour
- Vision-Based Long-Range 3D Tracking, applied to Underground Surveying Tasks
- GPS for structural health monitoring – case study on the Basarab overpass cable-stayed bridge
- Technical Report
- Terrestrial laser scanning for detection of landfill gas: a pilot study
