Geodesic
Removal of experimental noise from optical spectra with use of iterative scheme based on wavelet-analysis
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 1, pp. 179-184 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

Based on wavelet-analysis, the iterative scheme of noise removal is considered. The criterion of the iterative process stoppage is supposed on the basis of the analysis of Hurst parameter of the experimental noise. Experimental spectra of star Vega are processed. 
@article{UZKU_2006_148_1_a22,
     author = {M. E. Sibgatullin and S. S. Kharincev and I. F. Bikmaev and M. Kh. Salahov},
     title = {Removal of experimental noise from optical spectra with use of iterative scheme based on wavelet-analysis},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {179--184},
     year = {2006},
     volume = {148},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2006_148_1_a22/}
}
TY  - JOUR
AU  - M. E. Sibgatullin
AU  - S. S. Kharincev
AU  - I. F. Bikmaev
AU  - M. Kh. Salahov
TI  - Removal of experimental noise from optical spectra with use of iterative scheme based on wavelet-analysis
JO  - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
PY  - 2006
SP  - 179
EP  - 184
VL  - 148
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/UZKU_2006_148_1_a22/
LA  - ru
ID  - UZKU_2006_148_1_a22
ER  - 
%0 Journal Article
%A M. E. Sibgatullin
%A S. S. Kharincev
%A I. F. Bikmaev
%A M. Kh. Salahov
%T Removal of experimental noise from optical spectra with use of iterative scheme based on wavelet-analysis
%J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
%D 2006
%P 179-184
%V 148
%N 1
%U http://geodesic.mathdoc.fr/item/UZKU_2006_148_1_a22/
%G ru
%F UZKU_2006_148_1_a22
M. E. Sibgatullin; S. S. Kharincev; I. F. Bikmaev; M. Kh. Salahov. Removal of experimental noise from optical spectra with use of iterative scheme based on wavelet-analysis. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 1, pp. 179-184. http://geodesic.mathdoc.fr/item/UZKU_2006_148_1_a22/

[1] Bikmaev I. F., “Opticheskaya spektroskopiya v astronomii”, Kogerentnaya optika i opticheskaya spektroskopiya, Sb. st., Master Lain, Kazan, 2002, 18–29

[2] Vasilenko G. I., Taratorin A. M., Vosstanovlenie izobrazhenii, Radio i svyaz, M., 1986, 302 pp.

[3] Antoniadis A., Fan J., “Regularization of wavelet approximations”, J. Amer. Statist. Assoc., 96:455 (2001), 939–967 | DOI | MR | Zbl

[4] Mallat S., A wavelet tour of signal processing, Academic Press, N. Y., 1999, 572 pp. | MR

[5] Feder J., Fractals, Plenum Press, N. Y., 1988, 254 pp. | MR | Zbl

[6] Musaev F. A., “Kude-eshelle spektrometr 1-go teleskopa SAO RAN”, Pisma v Astron. Zhurn., 22 (1996), 795

[7] Galazutdinov G. A., Programma obrabotki eshelle-spektrov DECH, Preprint SAO RAN No 92, Nizh. Arkhyz, 1992