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Spectral analysis of block averaged data in geopotential global model determination

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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.

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Authors and Affiliations

  1. Dipartimento I.I.A.R., Sezione Rilevamento, Politecnico di Milano, Milano, Italy

    A. Albertella & F. Sacerdote

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  1. A. Albertella
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  2. F. Sacerdote
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Albertella, A., Sacerdote, F. Spectral analysis of block averaged data in geopotential global model determination. Journal of Geodesy 70, 166–175 (1995). https://doi.org/10.1007/BF00943692

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  • DOI: https://doi.org/10.1007/BF00943692

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