Abstract
We compare algorithms designed to extract quasiperiodic components of a signal and estimate the amplitude, phase, stability, and other characteristics of a rhythm in a sliding window in the presence of data gaps. Each algorithm relies on its own rhythm model; therefore, it is necessary to use different algorithms depending on the research objectives. The described set of algorithms and methods is implemented in the WinABD software package, which includes a time-series database management system, a powerful research complex, and an interactive data-visualization environment.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Anderson, T., The Statistical Analysis of Time Series, New York: John Wiley and Sons, 1971; Moscow: Mir, 1976.
Deshcherevskii, A.V., Zhuravlev, V.I., and Sidorin, A.Ya., Some filtering algorithms for geophysical temporal series, Izv., Phys. Solid Earth, 1996, vol. 32, no. 2, pp. 138–148.
Deshcherevskii, A.V., Zhuravlev, V.I., and Sidorin, A.Ya., Spectral–temporal features of seasonal variations in apparent resistivity, Izv., Phys. Solid Earth, 1997a, vol. 33, no. 3, pp. 217–226.
Deshcherevskii, A.V., Lukk, A.A., and Sidorin, A.Ya., Flicker noise structure in the time realizations of geophysical fields, Izv., Phys. Solid Earth, 1997b, vol. 32, no. 7, pp. 515–529.
Deshcherevskii, A.V. and Sidorin, A.Ya., Nekotorye voprosy metodiki otsenki srednesezonnykh funktsii dlya geofizicheskikh dannykh (Some Problems of the Method for Estimating the Average Seasonal Functions for Geophysical Data), Moscow: OIFZ RAN, 1999.
Deshcherevskii, A.V. and Lukk, A.A., Identification of regular components in time variations of geophysical parameters by the method of decomposition into nonharmonic components, Vulkanol. Seismol., 2002, no. 5, pp. 65–78.
Deshcherevskii, A.V. and Sidorin, A.Ya., Database of biological monitoring in the Garm polygon, Geofiz. Protsessy Biosfera, 2002, vol. 1, no. 2, pp. 3–15.
Deshcherevskii, A.V. and Sidorin, A.Ya., Parametrization of time series of animal activity for geophysical studies, in Modelirovanie geofizicheskikh protsessov (Modeling of Geophysical Processes), Moscow: OIFZ RAN, 2003, pp. 137–155.
Descherevsky, A.V. and Sidorin, A.Ya., Seasonal variations in natural processes and atmospheric precipitation, Ann. Geophys., 2004, vol. 47, no. 1, pp. 72–81.
Deshcherevskii, A.V. and Sidorin, A.Ya., Improvement of robustness and stability in estimating Rayleigh–Schuster’s hodograph parameters using different procedures of vector normalization, Seism. Instrum., 2015, vol. 51, no. 2, pp. 79–97.
Deshcherevskii, A.V. and Sidorin, A.Ya., Testing Rayleigh–Schuster hodographs using time series models and earthquake flows, Seism. Instrum., 2016, vol. 51, no. 3, pp. 232–252.
Deshcherevskii, A.V., Zhuravlev, V.I., Nikol’skii, A.N., and Sidorin, A.Ya., Program package ABD—a universal tool for analysis of monitoring observation data, Nauka Tekhnol. Razrab., 2016a, vol. 95, no. 4, pp. 35–48.
Deshcherevskii, A.V., Zhuravlev, V.I., Nikol’skii, A.N., and Sidorin, A.Ya., Problems of analysis of time series with gaps and their solution methods by the WinABD software, Geofiz. Protsessy Biosfera, 2016b, vol. 15, no. 3, pp. 5–34.
Deshcherevskii, A.V., Zhuravlev, V.I., Nikol’skii, A.N., and Sidorin, A.Ya., Tekhnologii analiza geofizicheskikh ryadov. Ch. 1. Software requirements, Seism. Instrum., 2017a, vol. 53, no. 1, pp. 46–59.
Deshcherevskii, A.V., Zhuravlev, V.I., Nikolsky, A.N., and Sidorin, A.Ya., Technology for analyzing geophysical time series: Part 2. WinABD—A software package for maintaining and analyzing geophysical monitoring data, Seism. Instrum., 2017b, vol. 53, no. 3, pp. 203–223.
Kanasewich, E.R., Time Sequence Analysis in Geophysics, Edmonton: Univ. of Alberta Press, 1981.
Härdle, W., Applied Nonparametric Regression, Cambridge, Cambridge University Press, 1989; Moscow: Mir, 1993.
Hemming, R.W., Digital Filters, Englewood Cliffs: Prentice Hall, 1983; Moscow: Nedra, 1987.
Komarov, F.I., Khronobiologiya i khronomeditsina (Chronobiology and Chronomedicine). Moscow: Meditsina, 1989.
Lagutin, M.B., Naglyadnaya matematicheskaya statistika (Illustrative Mathematical Statistics), Moscow: BINOM, 2009.
Rytov, S.M., Vvedenie v statisticheskuyu radiofiziku (Introduction to Statistical Radiophysics), vol. 1: Sluchainye protsessy (Random Processes), Moscow: Nauka, Glavnaya redaktsiya fiziko-matematicheskoi literatury, 1976.
Sidorin, A.Ya., Garmskii geofizicheskii poligon (The Garm Geophysical Polygon), Moscow: IFZ AN SSSR, 1990.
Terebizh, V.Yu., Analiz vremennykh ryadov v astrofizike (Analysis of Time Series in Astrophysics), Moscow: Nauka, 1992.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.V. Desherevskii, V.I. Zhuravlev, A.N. Nikolsky, A.Ya. Sidorin, 2017, published in Geofizicheskie Protsessy i Biosfera, 2017, Vol. 16, No. 2, pp. 55–73.
Rights and permissions
About this article
Cite this article
Desherevskii, A.V., Zhuravlev, V.I., Nikolsky, A.N. et al. Analysis of Rhythms in Experimental Signals. Izv. Atmos. Ocean. Phys. 53, 847–858 (2017). https://doi.org/10.1134/S0001433817080035
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0001433817080035