Wavelet Theory Demystified [PDF]
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, Michael A. Unser
exaly +3 more sources
Wavelets and Filter Banks: Theory and Design
The wavelet transform is compared with the more classical short-time Fourier transform approach to signal analysis. Then the relations between wavelets, filter banks, and multiresolution signal processing are explored. A brief review is given of perfect reconstruction filter banks, which can be used both for computing the discrete wavelet transform ...
Martin Vetterli, C Herley
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Wavelet-Based Quantum Field Theory [PDF]
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]
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]
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
Wavelet analysis of temporal data [PDF]
This thesis considers the application of wavelets to problems involving multiple series of temporal data. Wavelets have proven to be highly effective at extracting frequency information from data.
Goodwin, David Alexander
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A New Method for Calculating Earthquake Characteristics and Nonlinear Spectra Using Wavelet Theory [PDF]
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
Estimation of the Local Scour from a Cylindrical Bridge Pier Using a Compilation Wavelet Model and Artificial Neural Network [PDF]
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
Wavelet based Filtered historical simulation in different time horizons in Tehran Stock Exchange [PDF]
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
A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
Multiresolution representations are effective for analyzing the information content of images. The properties of the operator which approximates a signal at a given resolution were studied. It is shown that the difference of information between the approximation of a signal at the resolutions 2/sup j+1/ and 2/sup j/ (where j is an integer) can be ...
exaly +3 more sources

