Local and spline approximations in digital processing of geomagnet-ic observations
https://doi.org/10.22405/2226-8383-2018-19-4-26-42
Abstract
Methods of local and spline approximations for digital processing of geomagnetic observations are proposed for consideration. Algorithms for calculating piecewise-linear, sinusoidal and pol-ynomial local approximation models have been developed. An algorithm for calculating the spline approximation model is developed. The generated mathematical apparatus is focused on solving problems of parameter estimation, filtering and spectral analysis for geomagnetic observations.
About the Author
V. G. Getmanov
Geophysical Center RAS; Schmidt Institute of Physics of the Earth RAS
Russian Federation
Russian Federation
Getmanov Viktor Grigorievich — D.Sc., Principal research scientist, GC RAS; Principal research scientist Schmidt IPhE RAS
References
1. Gvishiani A.D., Luk’yanova R.YU. 2015. "Geoinformatika i nablyudeniya magnitnogo polya Zemli: rossijskij segment", Fizika Zemli. №2. pp. 3-20. doi:10.7868/S0002333715020040.
2. Getmanov V.G. 2011, Cifrovaya obrabotka nestacionarnyh kolebatel’nyh signalov na osnove lokal’nyh i splajnovyh modelej. M.: Izd-vo NIYAU MIFI. p. 298.
3. Getmanov V.G., Sidorov R.V., Dabagyan R.A. 2015, "Metod fil’tracii signalov s ispol’zovaniem lokal’nyh modelej i funkcij vzveshennogo usredneniya", Izmeritel’naya tekhnika. №9. pp. 52-57.
4. Getmanov V.G. 1992, "O chastotnom podpoiske v zadache ocenivaniya parametrov kusochnosinusoidal’nyh funkcij", Avtometriya. № 2. pp. 93-98.
5. Getmanov V.G., Dabagyan R.A., Sidorov R.V. 2016, "Issledovanie harakteristik geomagnitnyh pul’sacij metodom lokal’nyh approksimacij’, Geomagnetizm i aehronomiya. № 2. vol. 56. pp. 209-216.
6. Getmanov V.G. 2009, "Ob algoritme poiska po chastote v zadache ocenivaniya parametrov modelej poligarmonicheskih signalov", Avtometriya. №3. pp. 83-89.
7. Getmanov V.G., Borzunov G.I. 2015, "Algoritm parallel’nyh vychislenij dlya zadachi spektral’no- vremennogo analiza na bazisnyh poligarmonicheskih funkciyah", Informacionnye tekhnologii. vol.21. №6. pp. 456-463.
8. Getmanov V.G. 2013, "Nelinejnaya fil’traciya nablyudenij sistemy vektornogo i skalyarnogo magnitometrov", Izmeritel’naya tekhnika. №6. pp. 51-55.
9. Getmanov V.G. 2016, "Metody vychisleniya approksimacionnyh splajnovyh funkcij dlya zadach cifrovoj fil’tracii", Teoriya i sistemy upravleniya. №5. pp. 45-53.
10. Getmanov V.G. 2013, "Algoritmy vychisleniya approksimacionnyh splajnovyh funkcij s uchyotom optimizacii raspolozheniya splajnovyh uzlov", Avtometriya. vol.49. №1. pp. 26-41.
11. Mandea M., Korte M. 2011, Geomagnetic Observations and Models. Springer IAGA Special Sopron Book Series, Vol.5. 1-st Edition. XV. 343 p.
12. Love J. J. 2008, "Magnetic monitoring of Earth and space", Phys. Today. 61. pp. 31–37.
13. Gvishiani A., Lukianova R., Soloviev An. et al. 2014, "Survey of Geomagnetic Observations Made in the Nothern Sector of Russia and New Methods for Analysing Them", Surveys in Geophysics. Vol. 35. № 5. pp. 1123-1154. Doi: 10.1107/s10712-014-9297-8.
14. Gvishiani A., Bogoutdinov S., Soloviev A.A. et al. 2012, "Automated recognition of spikes in 1 HZ data recordered at the Easter Island magnetic observatory", Earth, Planets and Space. vol. 64. № 9. pp. 743-752. DOI: 10.5047/eps.2012.03.004.
15. Gvishiani A.D., Agayan S.M., Bogoutdinov Sh. et al. 2012, "Recognition of disturbances with specified morphology in time series. Spikes on 1-s magnetograms", Izvestiya. Physics of the Solid Earth. vol. 48. № 5. pp. 395-409. DOI: 10.1134/S106935131204009X.
16. Gvishiani A.D., Kihn E., Soloviev A.A. et al. 2009, "Detection of hardware failures at INTERMASGNET observatories: application of artificial intelligence techniques to geomagnetic records study", Russian Journal of Earth Sciences. vol. 11. № 2. pp. 1b-6. doi: 10.2205/2009ES000387.
17. Gvishiani A.D., Agayan S.M., Zlotnicki J. et al. 2008 "Mathematical methods of geoinformatics/ Fuzzy comparision and recognition of anomalies in time series", Cybernetics and Systems Analysis. vol. 44. № 3. pp. 309-323. DOI: 10.1007/s10559-008-9009-9.
18. International Real-Time Magnetic Observatory Network, 2018. http://www. intermagnet.org.
19. Bureau Central de Magnetisme Terrestre, 2018. http://www.bcmt.fr.
20. Getmanov V.G., Orlov S.E. 2011 "A way to Use Local and Spline Models for Estimating the Parametrical Functions of a Nonstationary Waveform Signals", Pattern Recognition and Image Analysis, Vol.21, No.4, pp.677-680.
21. Katkovnik V., K.Egiazarian, J.Astola. 2006 Local Approximation in Signal and Image Processing. SPIE Publications. 576p.
22. Seber G.A.F., Lee A.J. 2003, Linear Regression Analysis. J.Wiley & Sons Publications, 581p.
Review
For citations:
Getmanov V.G. Local and spline approximations in digital processing of geomagnet-ic observations. Chebyshevskii Sbornik. 2018;19(4):26-42. (In Russ.) https://doi.org/10.22405/2226-8383-2018-19-4-26-42
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