منابع مشابه
Wavelet leaders in multifractal analysis
The properties of several multifractal formalisms based on wavelet coefficients are compared from both mathematical and numerical points of view. When it is based directly on wavelet coefficients, the multifractal formalism is shown to yield, at best, the increasing part of the weak scaling exponent spectrum. The formalism has to be based on new multiresolution quantities, the wavelet leaders, ...
متن کاملJoint multifractal analysis based on wavelet leaders
Zhi-Qiang Jiang, 2, 3, ∗ Yan-Hong Yang, 2, 3 Gang-Jin Wang, 4, † and Wei-Xing Zhou 2, 5, ‡ School of Business, East China University of Science and Technology, Shanghai 200237, China Research Center for Econophysics, East China University of Science and Technology, Shanghai 200237, China Department of Physics and Center for Polymer Studies, Boston University, Boston, MA 02215, USA Business Scho...
متن کاملWavelet expansions, function spaces and multifractal analysis
The purpose of this tutorial is to describe the interplay between three subjects: function spaces, wavelet expansions, and multifractal analysis. Some relationships are now classical. Wavelet bases were immediately considered as remarkable by analysts because they are unconditional bases of ‘most’ function spaces. This property is a key feature of the denoising algorithms of Donoho, for instanc...
متن کاملWavelet-based Multifractal Analysis of RR Time Series
In this paper are presented the current results of scientific research of the RR time series for healthy and unhealthy subjects. TheRR intervals are obtained from 24-hour digital Holter ECG records of subjects. The used in the presented research work wavelet-based multifractal analysis of RR time series is provided by Wavelet Transform Modulus Maxima method. This method is based on wavelet anal...
متن کاملWavelet Leader Multifractal Analysis for Heart Rate Variability
Heart Rate Variability Analysis. Analyzing and characterizing Heart Rate Variability (HRV) constitutes a significant public health stake — both for understanding mechanisms regulating heart rate in healthy subjects and for detection and classification of pathologies — that received, and continues to arouse, significant research efforts. After the seminal work in [1], spectral analysis has been ...
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ژورنال
عنوان ژورنال: Fractals
سال: 2017
ISSN: 0218-348X,1793-6543
DOI: 10.1142/s0218348x17500542