Wavelets and their uses

IM Dremin, OV Ivanov, VA Nechitailo - Physics-Uspekhi, 2001 - iopscience.iop.org
This review paper is intended to give a useful guide for those who want to apply the discrete
wavelet transform in practice. The notion of wavelets and their use in practical computing …

[图书][B] Wavelets: tools for science and technology

S Jaffard, Y Meyer, RD Ryan - 2001 - SIAM
Wavelet analysis is a branch of applied mathematics that has produced a collection of tools
designed to process certain signals and images. This new book is devoted to describing …

A wavelet-based method for multifractal image analysis. I. Methodology and test applications on isotropic and anisotropic random rough surfaces

A Arneodo, N Decoster, SG Roux - The European Physical Journal B …, 2000 - Springer
We generalize the so-called wavelet transform modulus maxima (WTMM) method to
multifractal image analysis. We show that the implementation of this method provides very …

Multifractality in the stock market: price increments versus waiting times

P Oświe, J Kwapień, S Drożdż - Physica A: Statistical Mechanics and its …, 2005 - Elsevier
By applying the multifractal detrended fluctuation analysis to the high-frequency tick-by-tick
data from Deutsche Börse both in the price and in the time domains, we investigate …

Wavelet based multifractal formalism: applications to DNA sequences, satellite images of the cloud structure, and stock market data

A Bunde, J Kropp, HJ Schellnhuber, A Arneodo… - The science of disasters …, 2002 - Springer
We elaborate on a unified thermodynamic description of multifractal distributions including
measures and functions. This new approach relies on the computation of partition functions …

[HTML][HTML] A wavelet-based tool for studying non-periodicity

R Benítez, VJ Bolós, ME Ramírez - Computers & Mathematics with …, 2010 - Elsevier
This paper presents a new numerical approach to the study of non-periodicity in signals,
which can complement the maximal Lyapunov exponent method for determining chaos …

Time--frequency analysis of biosignals

PS Addison, J Walker, RC Guido - IEEE engineering in …, 2009 - ieeexplore.ieee.org
The wavelet transform has a powerful time-frequency analysis and signal-coding tool
suitable for use in the manipulation of complex nonstationary signals. This article provides …

Fractality of Borsa Istanbul during the COVID-19 pandemic

MA Balcı, LM Batrancea, Ö Akgüller, L Gaban, MI Rus… - Mathematics, 2022 - mdpi.com
Forecasting price changes is very important for the process of estimating and managing
market risk in financial markets. Price changes in financial markets may also depend on non …

A wavelet-based method for multifractal image analysis: from theoretical concepts to experimental applications

A Arneodo, N Decoster, P Kestener, SG Roux - Advances in imaging and …, 2003 - Elsevier
Publisher Summary This chapter highlights a detailed description of the 2D wavelet
transform modulus maxima (WTMM) methodology with some test applications to random …

Pitfalls in fractal time series analysis: fMRI BOLD as an exemplary case

A Eke, P Herman, BG Sanganahalli, F Hyder… - Frontiers in …, 2012 - frontiersin.org
This article will be positioned on our previous work demonstrating the importance of
adhering to a carefully selected set of criteria when choosing the suitable method from those …