Wavelet theory demystified [PDF]
IEEE Transactions on Signal Processing, 2003 We revisit wavelet theory starting from the representation of a scaling function as the convolution of a B-spline (the regular part of it) and a distribution (the irregular or residual part). This formulation leads to some new insights on wavelets and makes it possible to rederive the main results of the classical theory - including some new extensions
Thierry Blu
exaly +3 more sources
Wavelet-Based Quantum Field Theory [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 The Euclidean quantum field theory for the fields $phi_{Delta x}(x)$, which depend on both the position $x$ and the resolution $Delta x$, constructed in SIGMA 2 (2006), 046, on the base of the continuous wavelet transform, is considered.
Mikhail V. Altaisky
doaj +5 more sources
Applying Hybrid Models Based on Deep Machine Learning in Smart Agriculture (Case study: Forecasting the Future Price of Pistachios) [PDF]
مجله اقتصاد و توسعه کشاورزی, 2023 Introduction The agricultural sector is one of the most basic and vital component in the social and economic structures of any country. Today, with increasing in the world's population and needing to provide food on the other hand, and increasing in the ...
M.R. Haj-Seyedjavadi, R. Heydari
doaj +1 more source
Haar wavelet fractional derivative [PDF]
Proceedings of the Estonian Academy of Sciences, 2022 In this paper, the fundamental properties of fractional calculus are discussed with the aim of extending the definition of fractional operators by using wavelets.
Carlo Cattani
doaj +1 more source
Estimation of the Local Scour from a Cylindrical Bridge Pier Using a Compilation Wavelet Model and Artificial Neural Network [PDF]
Journal of Hydraulic Structures, 2021 In the present study, an artificial neural network and its combination with wavelet theory are used as the computational tool to predict the depth of local scouring from the bridge pier.
Mehran Seifollahi +5 more
doaj +1 more source
A New Method for Calculating Earthquake Characteristics and Nonlinear Spectra Using Wavelet Theory [PDF]
Journal of Rehabilitation in Civil Engineering, 2020 In the present study applying the wavelet theory (WT) and later the nonlinear spectrum response of the acceleration (NSRA) resulted in estimating a strong earthquake record for the structure to a degree of freedom. WT was applied in order to estimate the
Ali Heidari +2 more
doaj +1 more source
Wavelet based Filtered historical simulation in different time horizons in Tehran Stock Exchange [PDF]
فصلنامه بورس اوراق بهادار, 2022 Expected Shortfall (ES) is the average return on a risky asset conditional on the return being below some quantile of its distribution, namely its Value-at-Risk (VaR).
Javad Shekarkhah +2 more
doaj +1 more source
Intelligent Controlled DSTATCOM for Power Quality Enhancement
Energies, 2022 In this study, a three-phase four-wire distribution static compensator (DSTATCOM) is proposed to improve power quality, including the compensation of the three-phase unbalanced grid currents, the total harmonic distortion (THD) reduction of the grid ...
Jun-Hao Chen +2 more
doaj +1 more source
The Design of Matched Balanced Orthogonal Multiwavelets
Frontiers in Applied Mathematics and Statistics, 2022 The theory of orthogonal multiwavelets offers enhanced flexibility for signal processing applications and analysis by employing multiple waveforms simultaneously, rather than a single one.
Joël M.H. Karel +2 more
doaj +1 more source
A Review of Wavelet Analysis and Its Applications: Challenges and Opportunities
IEEE Access, 2022 As a general and rigid mathematical tool, wavelet theory has found many applications and is constantly developing. This article reviews the development history of wavelet theory, from the construction method to the discussion of wavelet properties.
Tiantian Guo +5 more
doaj +1 more source