The using of wavelet analysis in climatic challenges

Khaziakhmetov, Maxim, Zakharova, Tatiana (2012) The using of wavelet analysis in climatic challenges Annales Mathematicae et Informaticae. 39. pp. 159-171. ISSN 1787-5021 (Print), 1787-6117 (Online)

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Nowadays there are many methods for processing of digital signals. A classic example is Fourier analysis. Using this transformation we build a decomposition of a signal by frequencies, so the result is easy for interpretation. But this method works well only with stationary signals, when we can ﬁnd periodic components. Also using Fourier transform we lose information about coordinates of events in the original signal, because the result of transformation is in terms of frequencies. Of course, there are alternative ways of signal processing. Wavelet analysis is one of them. Wavelet transform works in a very simple manner. It divides the original signal into two parts – approximation and details. This dichotomization can be repeated many times and we’ll have decomposition with multilevel detailization. There are 2 ways for further work: to analyze the result of transformation interpreting it as something or to execute some operations with the result and then use inverse Wavelet transform. This article is about the using of wavelet analysis in climatic challenges. The work of the authors of this article was to analyze water vapor ﬁeld of the Earth searching for numerical patterns.

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Szerző neve	MTMT azonosító	ORCID azonosító	Közreműködés
Khaziakhmetov, Maxim	NEM RÉSZLETEZETT	NEM RÉSZLETEZETT	Szerző
Zakharova, Tatiana	NEM RÉSZLETEZETT	NEM RÉSZLETEZETT	Szerző

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Proceedings of the Conference on Stochastic Models and their Applications Faculty of Informatics University of Debrecen August 22–24, 2011 - Debrecen, Hungary

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