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- W2576676738 abstract "Abstract The recovery of the harmonic coefficienti of the anomalous potential from a geodetic guari-titi/ sampltd aver a regular grid is affected by the non-exact discrete orthogonality of spher-ical harmonics; larger errori occur far block-averaged quantities owing to the non-simplebehaviour of the block-average operator when applied to spherical harmonics. Fourier co-efficients, on the contrary, can be recovered by exact formulas both from paini and block-averaged data; furthermore, Fourier analysis enables to give a rigorous description of alias-ing from high-degree harmonic componente far the sphere. The harmonic coefficients of atruncated model can then be obtained by solving linear systems; errori and correlations incoefficienti arising from incorrelated measurement errori are analysed. 1. Introduction Por the spectral analysis of a function on the sphere (1.1) n,m wherecos mA , m > Om <0(1.2)quadrature formulas are used:d8sm6f(0,)Y nm (6,X} o o arising from orthogonality properties of spherical harmonics:(1.3)" @default.
- W2576676738 created "2017-01-26" @default.
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- W2576676738 date "1992-01-01" @default.
- W2576676738 modified "2023-09-24" @default.
- W2576676738 title "FIRST CONTINENTAL WORKSHOP ON THE GEOID IN EUROPE" @default.
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- W2576676738 hasPublicationYear "1992" @default.
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