Optimal Choice of mother wavelet for satellite obtained Very Low Frequency radio wave feature selection | IJLTEMAS
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Optimal Choice of mother wavelet for satellite obtained Very Low Frequency radio wave feature selection

Authors

Shivali Verma

Technocrats Institute of Technology, Bhopal -462021, India (IN)

Article Information

DOI: 10.51583/IJLTEMAS.2026.150500226

Subject Category: Space Physics

Volume/Issue: 15/5 | Page No: 2775-2780

Publication Timeline

Submitted: 2026-06-18

Published: 2026-06-18

Abstract

Very low frequency (VLF) radio wave signals, frequency range 2 kHz to 20 kHz play imperative role for probing of ionosphere and magnetosphere. There are three main VLF signals whistlers, chorus and hiss. They all have specific characteristics with respect time and frequency. Wavelet analysis is a widely used time-frequency analysis method. To propose a more competent analysis of the VLF signal, the wavelet analysis is deliberated. In wavelet analysis, the best mother wavelet is chosen for evaluating the signals, as many mother wavelets applied to the signal may yield diverse results. In this study, we used VLF signals obtained from the DEMETER satellite for wavelet analysis. For the “optimal" choice of the mother wavelet for such signals, we applied an energy-based quantitative approach at different frequency levels of VLF signals, which were obtained by Discrete Wavelet Transform (DWT). The results show that Haar and Bior3.5 are the optimum mother wavelets for the analysis of VLF signals.

Keywords

Radio wave signals, very low frequency, Mother wavelet

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References

1. Barra R., D. L lanwyn Jonesb, C.J. Rodgerc, ELF and VLF radio waves, Journal of Atmospheric and Solar-Terrestrial Physics 62, 1689–1718,2000. [Google Scholar] [Crossref]

2. Cohen, M. B., U. S. Inan, and E. P. Paschal Sensitive broadband ELF/VLF radio reception with the AWESOME instrument, IEEE Trans. Geosci. Remote Sens., 48(1), 3–17, 2009 [Google Scholar] [Crossref]

3. Collier Andrew B.: VLF and ULF Waves Associated with Magnetospheric Substorms .Department of Space and Plasma Physics School of Electrical Engineering Royal Institute of Technology Stockholm, Sweden Ph.d. thesis2006. [Google Scholar] [Crossref]

4. Gallet,R.M., and R.A.Helliwell, Origin of very low frequency emissions, J.Res.N.B.S.,63D,21,1959. [Google Scholar] [Crossref]

5. Williams,D.J.,J.F.Arens,and L.J. Lanzerotti, Observations of trapped electron at low and high altitude,J.Geophys. Res., 73, 5673, 1968. [Google Scholar] [Crossref]

6. Helliwell, R.A.,Whistler and related ionospheric phenomena,Stanford University Press, Stanford, California, USA. 1965. [Google Scholar] [Crossref]

7. Helliwell, R.A, ‘A theory of discrete VLF emission from the magnetosphere’, J. Geophy. Res., 72, 4773-4789, 1967. [Google Scholar] [Crossref]

8. Sazhin, S.S. and Hayakawa, M, Magnetospheric chorus emissions: A review,Planet. Space Sci., 40, 681-697, 1992. [Google Scholar] [Crossref]

9. Trakhtengerts, V.Y., A generation mechanism for chorus emissions, Ann.Geophys., 17, 95-100,1999. [Google Scholar] [Crossref]

10. Parrot, M., Benoist, D., Berthelier, J. J., Blecki, J., Chapuis, Y., Colin, F., Elie, F., Fergeau, P., Lagoutte, D., Lefeuvre, F., Legendre, C., Lévêque, M., Pincon, J. L., Poirier, B., Seran, H.- C., and Zamora, P.: The magnetic field experiment IMSC and its data processing onboard DEMETER: Scientific objectives, description and first results, Plan. Space Scie., 54, 441–455, https://doi.org/10.1016/j.pss.2005.10.015, 2005. [Google Scholar] [Crossref]

11. Lagoutte, D., Brochot, J., Latremoliere, P.,SWAN, Software for wave analysis, version 2.4, (part 1: User’s guide; part 2: Analysis tools; part 3: User’s project interface). Technical Report, Laboratory of Physics Chimie Environment/CNRS, Orle’ans, France, 2000. [Google Scholar] [Crossref]

12. Parrot M. The magnetic field experiment IMSC and its data processing onboard DEMETER: Scientific objectives, description and first results. Planet. Space Sci., 54, 441–455 2006 [Google Scholar] [Crossref]

13. Blecki J,Parrot M and R.Wronowski ELF and VLF signatures of sprites registered onboard the low altitude satellite DEMETER Ann. Geophysics, 27, 2599–2605, 2009. [Google Scholar] [Crossref]

14. Lagoutte D. and Latermoliere P. ” SAWN Analysis Tools”version 2.0,LPCE/NI/003.C-part2,May 1997. [Google Scholar] [Crossref]

15. Mallat S., A Theory for Multiresolution Signal Decomposition: the Wavelet Representation, IEEE Pattern Anal. And Machine Intel, vol. 11, no. 7, 674-693. 1989. [Google Scholar] [Crossref]

16. Debasis Choudhury ,characterization of power quality disturbances using signal processing and soft computing techniques, thesis Department of Electrical Engineering National Institute of Technology Rourkela, 2013 [Google Scholar] [Crossref]

17. Daniel T.L. Lee and Akio Yamamoto Wavelet analysis and theoretical application Hewlett-Packard Journal,1994. [Google Scholar] [Crossref]

18. Ngui w.k.,Leong Salman M.,Lim Meng Hee Abdelrhman A.M.,Wavelet analysis: Mother selection methods Applied Mechanics and Materials Vol.393 ,953-958,2013. [Google Scholar] [Crossref]

19. Shukla, K. K., Tiwari Arvind K., Efficient Algorithms for Discrete Wavelet Transform With Applications to Denoising and Fuzzy Inference Systems springer Briefs in Computer Science, 2013. [Google Scholar] [Crossref]

20. Morsi W. G. and El-Hawary M. E., The most suitable Wavelet for steady-state power systemdistorted waveforms, Canadian Conference on Electrical and Computer Engineering. 17-22, 2008. [Google Scholar] [Crossref]

21. Haar, Alfréd,"Zur Theorie der orthogonalen Funktionensysteme", Mathematische Annalen 69 (3): 331–371, 1910. [Google Scholar] [Crossref]

22. Charles K. Chui, An Introduction to Wavelets, Academic Press, 1992. [Google Scholar] [Crossref]

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