Abstract
The aliasing effects in local gravity field computations are presented in this study. First the relation between the power spectral density of a 2-D continuous signal and its corresponding sampled version is derived. Then the power spectral density of the aliasing errors related to non band-limited signals is derived. Finally the variance of these aliasing errors is computed using gravity anomalies at different grid spacings. This computation prerequires some known gravity anomaly power spectral density model. The model used in this study corresponds to a second-order Gauss-Markov covariance function for the anomalous potential.
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Vassiliou, A.A. The computation of aliasing effects in local gravity field approximation. Bull. Geodesique 62, 41–58 (1988). https://doi.org/10.1007/BF02519324
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DOI: https://doi.org/10.1007/BF02519324