Mon Oct 13, F. Flechtner
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Földváry, Lorant, 2021. Sampling error of continuous periodic data and its application for geodesy. Mathematical Methods in the Applied Sciences, 44(14):11738–11752, doi:10.1002/mma.7599.
• from the NASA Astrophysics Data System • by the DOI System •
@ARTICLE{2021MMAS...4411738F,
author = {{F{\"o}ldv{\'a}ry}, Lorant},
title = "{Sampling error of continuous periodic data and its application for geodesy}",
journal = {Mathematical Methods in the Applied Sciences},
year = 2021,
month = sep,
volume = {44},
number = {14},
pages = {11738-11752},
abstract = "{Data acquisition for geoinformatics cannot be done continuously, but by
discrete sampling of the object or phenomenon. The sampling
involves errors on the knowledge of the continuous signal due to
the loss of information in the sampling procedure. In the
present study, an analytical formulation of the L1-norm and
L2-norm sampling error of a periodic signal is provided, which
embodies the amplitude, phase, bias, and periodicity of the
sampling error. According to the tests, the formulation was
found to be stable for instability of the sampling rate up to
{\ensuremath{\pm}}10\%. The analysis is then subsequently
applied for case studies. (1) For the Gravity Recovery and
Climate Experiment (GRACE) and GRACE-Follow-On (GRACE-FO)
monthly solutions the annual component was found to be affected
by 2.49\% of the signal content due to the sampling error. (2)
For different realizations of the Hungarian Gravimetric Network,
where it was found that with a spatial resolution of
approximately 10 km, reliable features of the gravity up to 100
km cannot properly be described.}",
doi = {10.1002/mma.7599},
adsurl = {https://ui.adsabs.harvard.edu/abs/2021MMAS...4411738F},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
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Mon Oct 13, F. Flechtner