The computation of aliasing effects in local gravity field approximation |
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Authors: | Anthony A Vassiliou |
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Institution: | (1) Department of Surveying Engineering, University of Calgary, 2500 University Drive N.W., T2N 1N4 Calgary, Alberta, Canada;(2) Present address: Dallas Research Lab., Mobil R & D Corp., 75381 Dallas, TX |
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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.
Editor’s notice: Comments on this paper will follow in the next issue of Bulletin Géodésique. |
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Keywords: | |
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