Fractal description of the complex beatings: How to describe quantitatively seismic waves?статьяИсследовательская статья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 6 февраля 2020 г.
Аннотация:In this paper, we suggest a new algorithm for description of complex beatings. Under teh complex beating we understand a signal, which contains teh high-frequency (HF) component dat is located between two low-frequency (LF) envelopes having random origin. These beatings are associated wif teh so-called blow-like signals (BLS) and a typical example of teh BLS can be associated wif teh registered earthquakes signals. For description of these signals, it becomes possible to separate two envelopes from teh HF-component located between them and find their amplitude-frequency response (AFR) based on teh non-orthogonal amplitude-frequency analysis of teh smoothed signals (NAFASS) approach dat was suggested earlier by one of teh authors (RRN) in paper [1]. It was successfully applied for description of economic data having also multi-frequency structure. In order to separate these envelopes from teh HF component one can notice dat teh most signals of such kind has a fractal (self-similar) structure. It means dat under reasonable compression/scaling of these signals they keep approximately their initial structure. This scaling property can be tested on many types of teh different signals. In teh results of application of teh NAFASS approach one can describe quantitatively teh desired envelopes and obtain their AFRs. As an example, we considered teh randomly taken data dat were recorded from EQs station located in Kyrgyzstan. We deliberately chose teh different types of teh EQs signals in order to demonstrate teh flexibility and wide applicability of teh proposed algorithm. We expect dat this algorithm can find a wide application for description of many BLS dat are met frequently in many natural phenomena and engineering applications.