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Spectral analysis of block averaged data in geopotential global model determination
Abstract The recovery of the harmonic coefficients of the anomalous potential from a geodetic quantity sampled over a regular grid is affected by the non-exact discrete orthogonality of spherical harmonics; larger errors occur for block-average quantities owing to the non-simple behaviour of the block-average operator when applied to spherical harmonics. Fourier coefficients, on the contrary, can be recovered by exact formulas both from point data and block-averaged data; furthermore, Fourier analysis enables to give a rigorous description of aliasing from high-degree harmonic components for the sphere. The harmonic coefficients of a truncated model can then be obtained by solving linear systems. Numerical simulations confirm the advantages of the method.
Spectral analysis of block averaged data in geopotential global model determination
Abstract The recovery of the harmonic coefficients of the anomalous potential from a geodetic quantity sampled over a regular grid is affected by the non-exact discrete orthogonality of spherical harmonics; larger errors occur for block-average quantities owing to the non-simple behaviour of the block-average operator when applied to spherical harmonics. Fourier coefficients, on the contrary, can be recovered by exact formulas both from point data and block-averaged data; furthermore, Fourier analysis enables to give a rigorous description of aliasing from high-degree harmonic components for the sphere. The harmonic coefficients of a truncated model can then be obtained by solving linear systems. Numerical simulations confirm the advantages of the method.
Spectral analysis of block averaged data in geopotential global model determination
Albertella, A. (author) / Sacerdote, F. (author)
Journal of Geodesy ; 70
1995
Article (Journal)
English
BKL:
38.73
Geodäsie
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