@misc{10481/76557,
year = {2022},
month = {7},
url = {http://hdl.handle.net/10481/76557},
abstract = {Asteroseismology, that is, the use of the frequency content of a time series caused by
variations in brightness or radial velocity of a stellar object, is based on the hypothesis
that such a series is harmonic and therefore can be described by a sum of sines and
cosines. If this were not the case (e.g., the oscillations of an ellipsoid of revolution) it
cannot be guaranteed that the Discrete Fourier transform is the least squares
approximation to the time series. This report studies the effect of extending the
Fourier kernel to a particular quaternion and exploring the impact when it is applied
to the best time series that we have (GOLF/SoHO) from the closest star, our Sun. The
results are consistent with a notable improvement in the signal-to-noise ratio in the low
frequency range. This opens the possibility of detecting the elusive g modes of the Sun
in future works.},
organization = {State Agency for Research of the Spanish MCIU through
PID2019-107061GB-C63},
organization = {Instituto de Astrofísica de Andalucía (SEV-2017-0709)},
organization = {Spanish Ministry of Science, Innovation and Universities
(MCIU)},
organization = {PID2019-110525GB-100
from the State Agency for Research and FEDER.\par},
publisher = {Frontiers},
keywords = {Stellar pulsations},
keywords = {Data analysis},
keywords = {Solar physics},
keywords = {G-modes},
keywords = {Quaternion},
title = {Quaternionic Transform: A new Light on the Solar Power Spectrum},
doi = {10.3389/fspas.2022.931963},
author = {Garrido, Rafael and Ayala, Adrián and Pascual Granado, Javier and Gómez Torrecillas, José and Rodón, José Ramón},
}