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The Eigen-Coordinates Method: Description of Blow-Like Signals

  • Raoul R. Nigmatullin
  • Paolo Lino
  • Guido Maione
Chapter
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Abstract

This chapter considers the application of the eigen-coordinates (ECs) method to the nontrivial example of the analysis of blow-like signals (BLS). These signals show a typical behaviour that starts in some segment of time, then rises and achieves the peak value, and finally decreases, and can originate in very different scenarios, e.g. the propagation of earthquakes, or the dissemination of some sensational news on the Internet and of the comments that accompany this news. However, the characteristic feature of most BLS is the branching and fractal structure. This observation helps to find the desired, simplified fitting function by starting from an initial function containing the nonlinear fitting parameters. This chapter carries out an in-depth analysis on available data (e.g. from asthma disease, acoustic signals from queen bees, car valves in idle regime) with the help of the ECs method described in the first chapter. However, it is stressed that the proposed fractal model enables to fit the envelopes of the BLS only. The internal structure of an arbitrary BLS associated with high-frequency oscillations deserves a separate analysis. The information provided could help researchers to find their own BLS and analyse their structure.

Keywords

Fractal model Blow-like signals (BLS) The envelope of the BLS and its fit The bronchial asthma disease, songs of queen bees and car valves noise 

Supplementary material

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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Raoul R. Nigmatullin
    • 1
  • Paolo Lino
    • 2
  • Guido Maione
    • 2
  1. 1.Radioelectronics and Informative-Measurement Technics DepartmentKazan National Research Technical University named by A.N. Tupolev (KNRTU-KAI)KazanRussia
  2. 2.Department of Electrical and Information EngineeringPolytechnic University of BariBariItaly

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