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Detecting and Identifying Anomalous Effects in Complex Signals

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Abstract

We propose a method for detecting and identifying anomalous effects in a signal of a complex structure based on nonlinear approximating schemes in the dictionary of wavelet packets. Taking into account the properties of the time–frequency window of the wavelet transform, an adaptive threshold is introduced. Increasing the efficiency of detecting various types of structures is achieved by applying a superposition of wavelet transform constructions. Using neutron monitor data as an example, it is shown that the method permits one to suppress noise and identify anomalous effects of various shapes and duration. The results confirmed the efficiency of the proposed method for detecting low-amplitude Forbush effects in cosmic ray variations.

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REFERENCES

  1. Zurko, V. and Mikhalskii, A., Data modeling for the analysis of health risks and human longevity, Autom. Remote Control, 2018, vol. 79, no. 10, pp. 1871–1885.

    Article  MathSciNet  Google Scholar 

  2. Ageev, I.A., Burkov, V.N., Zinchenko, V.I., and Kiseleva, T.V., Structural analysis of the time data series, Autom. Remote Control, 2005, vol. 66, no. 6, pp. 995–1002.

    Article  MathSciNet  Google Scholar 

  3. Shcherban, I.V., Kirilenko, N.E., and Krasnikov, S.O., A search method for unknown high-frequency oscillators in noisy signals based on the continuous wavelet transform, Autom. Remote Control, 2019, vol. 80, no. 7, pp. 1279–1287.

    Article  MathSciNet  Google Scholar 

  4. Mandrikova, O. and Stepanenko, A., Automated method for calculating the Dst-index based on the wavelet model of geomagnetic field variations, Comput. Opt., 2020, vol. 44, no. 5, pp. 797–808.

    Article  Google Scholar 

  5. Toptygin, I.N., Kosmicheskie luchi v mezhplanetnykh magnitnykh polyakh (Cosmic Rays in Interplanetary Magnetic Fields), Moscow: Nauka, 1983.

    Google Scholar 

  6. Real Time Data Base for the Measurements of High-Resolution Neutron Monitor. www.nmdb.eu. Cited November 1, 2020.

  7. Sokurov, V.F., Fizika kosmicheskikh luchei: kosmicheskaya radiatsiya (Cosmic Ray Physics: Cosmic Radiation), Rostov-on-Don: Feniks, 2005.

    Google Scholar 

  8. Dorman, L.I., Eksperimental’nye i teoreticheskie osnovy astrofiziki kosmicheskikh luchei (Experimental and Theoretical Foundations of Cosmic Ray Astrophysics), Moscow: Nauka, 1975.

    Google Scholar 

  9. Belov, A.V. et al., Global survey method for the world network of neutron monitors, Geomagn. Aeron., 2018, vol. 58, pp. 356–372.

    Article  Google Scholar 

  10. Abunina, M.A. et al., Ring of stations method in cosmic rays variations research, Sol. Phys., 2020, vol. 69, no. 295.

  11. Mandrikova, O.V., Solovev, I.S., and Zalyaev, T.L., Methods of analysis of geomagnetic field variations and cosmic ray data, Earth Planet Space, 2014, vol. 66, no. 148.

  12. Mandrikova, O.V. et al., Methods of analysis of geophysical data during increased solar activity, Pattern Recognit. Image Anal. (Adv. Math. Theory Appl.), 2016, vol. 26, no. 2, pp. 406–418.

    Article  Google Scholar 

  13. Mandrikova, O.V. and Zalyaev, T.L., Modeling cosmic ray variations based on combining multiple-scale wavelet expansions and variable-structure neural networks, Tsifrovaya Obrab. Signalov, 2015, no. 1, pp. 11–16.

  14. Chui, C.K., An Introduction in Wavelets, New York: Academic Press, 1992.

    Book  Google Scholar 

  15. Mallat, S., A Wavelet Tour of Signal Processing, London: Academic Press, 1999.

    MATH  Google Scholar 

  16. Herley, C. et al., Tilings of the time-frequency plane: construction of arbitrary orthogonal bases and fast tiling algorithms, IEEE Trans. Signal Process., Spec. Iss. Wavelets Signal Process., 1993, pp. 3341–3359.

  17. Chen, S. and Donoho, D., Atomic decomposition by basis pursuit, Tech. Rep., Stanford Univ., 1995.

  18. Mallat, S.G. and Zhang, Z.F., Matching pursuits with time-frequency dictionaries, IEEE Trans. Signal Process., 1993, vol. 41, no. 12, pp. 3397–3415.

    Article  Google Scholar 

  19. Coifman, R.R. and Wickerhauser, M.V., Entropy-based algorithms for best basis selection, IEEE Trans. Inf. Theory., 1992, vol. 38, no. 2, pp. 713–718.

    Article  Google Scholar 

  20. Donoho, D.L. and Johnstone, I.M., Ideal spatial adaptation via wavelet shrinkage, Biometrika, 1994, no. 81, pp. 425–455.

  21. Space Weather Forecast Center IZMIRAN. Catalog of Forbush Effects and Interplanetary Disturbances. http://spaceweather.izmiran.ru/rus/fds2019.html . Cited November 11, 2020.

  22. Forecast of Space Weather According to the Data of Federov Institute of Applied Geophysics. http://ipg.geospace.ru . Cited December 1, 2020.

  23. NASA Interface to Produce Plots Listings or Output Files from OMNI 2. https://omniweb.gsfc.nasa.gov/form/dx1.html . Cited November 11, 2020.

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Funding

The work was carried out within the framework of the State assignment on the topic “Physical processes in the system of near space and geospheres under solar and lithospheric influences” (2021–2023), reg. no. AAAA-A21-121011290003-0.

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Correspondence to V. V. Geppener or B. S. Mandrikova.

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Translated by V. Potapchouck

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Geppener, V.V., Mandrikova, B.S. Detecting and Identifying Anomalous Effects in Complex Signals. Autom Remote Control 82, 1668–1678 (2021). https://doi.org/10.1134/S0005117921100052

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  • DOI: https://doi.org/10.1134/S0005117921100052

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