Abstract
The features of the CLEAN algorithm for Fourier analysis of time series with data separated by long pauses are analyzed in detail. Estimates are obtained for the limits of variability of the parameters of harmonic components that can be determined on a specified time grid. This analysis are used to search for harmonic components in the spectral line profile variations of the star λ Ori A (O8III) obtained in 2001 with the 1 m telescope at the Special Astrophysical Observatory of the Russian Academy of Sciences.
Similar content being viewed by others
REFERENCES
Z. Brandt, Statistical Methods for Analysis of Observations [Russian translation], Mir, Moscow (1975), p. 87.
V. V. Vityazev, Analysis of Uniform Time Series [in Russian], Izd. SPbGU (2001).
V. V. Vityazev, Analysis of Nonuniform Time Series [in Russian], Izd. SPbGU (2001), p. 68.
J. Dobesi, Ten Lectures on Wavelets [Russian translation], Moscow (2001).
Yu. N. Tyurin and A. A. Makarov, Computer Analysis of Data [in Russian], Infra-M, Moscow (2003), p. 544.
A. F. Kholtygin, D. N. Monin, A. E. Surkov, and S. N. Fabrika, Pis’ma Astron. zh. 29, 208 (2003).
J. Foster, Astron. J. 109, 1889 (1995).
J. Foster, Astron. J. 111, 541 (1996).
J. A. de Jong, H. F. Henrichs, S. Schrijvers et al., Astron. Astrophys. 345, 172 (1999).
J. A. de Jong, H. F. Henrichs, L. Kaper et al., Astron. Astrophys. 368, 601 (2001).
L. Kaper, H. F. Henrichs, A. W. Fullerton et al., Astron. Astrophys. 327, 281 (1997).
L. Kaper, H. F. Henrichs, J. S. Nichols et al., Astron. Astrophys. 344, 231 (1999).
C. Neiner, A. M. Hubert, M. Floquet et al., Astron. Astrophys. 388, 899 (2002).
D. H. Roberts, J. Lehar, and J. W. Dreher, Astron. J. 93, 968 (1987).
Author information
Authors and Affiliations
Additional information
Translated from Astrofizika, Vol. 48, No. 1, pp. 87–100 (February 2005).
Rights and permissions
About this article
Cite this article
Kholtygin, A.F., Shneiwais, A.B. Stochastic data in astronomy: Fourier analysis of highly nonuniform time series. Astrophysics 48, 68–78 (2005). https://doi.org/10.1007/s10511-005-0008-5
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s10511-005-0008-5