Skip to main content
  • Article
  • Published:

Automated detection of Pi 2 pulsations using wavelet analysis: 1. Method and an application for substorm monitoring

Abstract

Wavelet analysis is suitable for investigating waves, such as Pi 2 pulsations, which are limited in both time and frequency. We have developed an algorithm to detect Pi 2 pulsations by wavelet analysis. We tested the algorithm and found that the results of Pi 2 detection are consistent with those obtained by visual inspection. The algorithm is applied in a project which aims at the nowcasting of substorm onsets. In this project we use real-time geomagnetic field data, with a sampling rate of 1 second, obtained at mid- and low-latitude stations (Mineyama in Japan, the York SAMNET station in the U.K., and Boulder in the U.S.). These stations are each separated by about 120° in longitude, so at least one station is on the nightside at all times. We plan to analyze the real-time data at each station using the Pi 2 detection algorithm, and to exchange the detection results among these stations via the Internet. Therefore we can obtain information about substorm onsets in real-time, even if we are on the dayside. We have constructed a system to detect Pi 2 pulsations automatically at Mineyama observatory. The detection results for the period of February to August 1996 showed that the rate of successful detection of Pi 2 pulsations was 83.4% for the nightside (18-06MLT) and 26.5% for the dayside (06-18MLT). The detection results near local midnight (20-02MLT) give the rate of successful detection of 93.2%.

References

  • Chui, C. K., An Introduction to Wavelets, 266 pp., Academic Press, San Diego, California, 1992.

    Google Scholar 

  • Chui, C. K., L. Montefusco, and L. Puccio (Eds.), Wavelets: Theory, Algorithms, and Applications, 627 pp., Academic Press, San Diego, California, 1994.

  • Daubechies, I., Orthonormal bases of compactly supported wavelets, Comm. Pure Appl. Math., 41, 909–996, 1988.

    Article  Google Scholar 

  • Goupillaud, P., A. Grossmann, and J. Morlet, Cycle-octave and related transforms in seismic signal analysis, Geoexploration, 23, 85–102, 1984.

    Article  Google Scholar 

  • Holter, Ø., C. Altman, A. Roux, S. Perraut, A. Pederson, H. Pécseli, B. Lybekk, J. Trulsen, A. Korth, and G. Kremser, Characterization of low frequency oscillations at substorm breakup, J. Geophys. Res., 100, 19109–19119, 1995.

    Article  Google Scholar 

  • Jacobs, J. A., Y. Kato, S. Matsushita, and V. A. Troitskaya, Classification of geomagnetic micropulsations, J. Geophys. Res., 69, 180–181, 1964.

    Article  Google Scholar 

  • Kaiser, G., A Friendly Guide to Wavelets, 300 pp., Birkhäuser, Boston, Massachusetts, 1994.

  • Lui, A. T. Y. and A.-H. Najmi, Time-frequency decomposition of signals in a current disruption event, Geophys. Res. Lett., 24, 3157–3160, 1997.

    Article  Google Scholar 

  • Meyer, Y, Orthonormal wavelets, in Wavelets, edited by J. M. Combes, A. Grossmann, and Ph. Tchamitchian, pp. 21–37, Springer-Verlag, Berlin, 1989.

    Chapter  Google Scholar 

  • Meyer, Y, Wavelets: Algorithms and Applications, translated by R. D. Ryan, 133 pp., Society for Industrial and Applied Mathematics, Philadelphia, Pennsylvania, 1993.

    Google Scholar 

  • Ochadlick, A. R., Jr., H. N. Kritikos, and R. Giegengack, Variations in the period of the sunspot cycle, Geophys. Res. Lett., 20, 1471–1474, 1993.

  • Saito, T. and S. Matsushita, Solar cycle effects on geomagnetic Pi 2 pulsations, J. Geophys. Res., 73, 267–286, 1968.

    Article  Google Scholar 

  • Saito, T., T. Sakurai, and Y. Koyama, Mechanism of association between Pi 2 pulsation and magnetospheric substorm, J. Atmos. Terr. Phys., 38, 1265–1277, 1976a.

    Article  Google Scholar 

  • Saito, T., K. Yumoto, and Y. Koyama, Magnetic pulsation Pi 2 as a sensitive indicator of magnetospheric substorm, Planet. Space Sci., 24, 1025–1029, 1976b.

    Article  Google Scholar 

  • Sakurai, T. and T. Saito, Magnetic pulsation Pi 2 and substorm onset, Planet. Space Sci., 24, 573–575, 1976.

    Article  Google Scholar 

  • Sasaki, F., T. Maeda, and M. Yamada, Study of time history data using wavelet transform, J. Struc. Eng. Architec. Inst. Japan, 38B, 9–20, 1992 (in Japanese with English abstract).

    Google Scholar 

  • Sato, K. and M. Yamada, Vertical structure of atmospheric gravity waves revealed by the wavelet analysis, J. Geophys. Res., 99, 20623–20631, 1994.

    Article  Google Scholar 

  • Takahashi, K., S. Ohtani, and B. J. Anderson, Statistical analysis of Pi 2 pulsations observed by the AMPTE CCE spacecraft in the inner magnetosphere, J. Geophys. Res., 100, 21929–21941, 1995.

    Article  Google Scholar 

  • Wickerhauser, M. V, Adapted Wavelet Analysis from Theory to Software, 486 pp., A. K. Peters, Wellesley, Massachusetts, 1994.

    Google Scholar 

  • Yamada, M. and K. Ohkitani, Orthonormal wavelet analysis of turbulence, Fluid Dyn. Res., 8, 101–115, 1991.

    Article  Google Scholar 

  • Yamanaka, M. D., T. Shimomai, and S. Fukao, A model of quasi-monochromatic field of middle-atmospheric internal gravity waves, Proc. of the 1992 STEPSymposium/5th COSPAR Colloquium, 511–518, 1992.

  • Yomogida, K., Detection of anomalous seismic phases by the wavelet transform, Geophys. J. Int., 116, 119–130, 1994.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Nosé.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Nosé, M., Iyemori, T., Takeda, M. et al. Automated detection of Pi 2 pulsations using wavelet analysis: 1. Method and an application for substorm monitoring. Earth Planet Sp 50, 773–783 (1998). https://doi.org/10.1186/BF03352169

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1186/BF03352169

Keywords