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Wavelet Analysis

1998
This paper discusses wavelet transforms - discrete wavelet transform and continuous wavelet transform, and wavelet applications to signal compression. Wavelet transform decomposes signal into components which correspond to the different frequency bands.
Howard L. Resnikoff, Raymond O. Wells
  +5 more sources

Introduction to Wavelet Analysis

British Journal of Audiology, 1997
Wavelet transform and multiresolution decomposition are described. Examples of the application of orthogonal wavelet transform to acoustic evoked potentials and otoacoustic emissions (OEA) are given and basic features of wavelet packets and wavelet network methods are characterized. An approach that enables the identification of local signal structures-
K J, Blinowska, P J, Durka
openaire   +2 more sources

Wavelet Analysis: Mother Wavelet Selection Methods

Applied Mechanics and Materials, 2013
Wavelet analysis, being a popular time-frequency analysis method has been applied in various fields to analyze a wide range of signals covering biological signals, vibration signals, acoustic and ultrasonic signals, to name a few. With the capability to provide both time and frequency domains information, wavelet analysis is mainly for time-frequency ...
Wai Keng Ngui   +3 more
openaire   +1 more source

Wavelet Analysis of Electrocardiograms

Bulletin of Experimental Biology and Medicine, 2018
Some electrocardiograms, e.g. electrocardiograms recorded in patients with atrial fibrillation, myocardial infarction, or receiving some medications, contain waves of small amplitude. Despite low amplitude, these waves can significantly affect correct identification of the pathological process and diagnosis.
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Wavelets with Frame Multiresolution Analysis

Journal of Fourier Analysis and Applications, 2003
Let \(A\) be a \(d\times d\) real expansive matrix, i.e., a matrix whose eigenvalues are all of modulus greater than 1. Then a function \(\psi \in L^2(\mathbb{R}^d)\) is an \(A\)-\textit{dilation wavelet} if the system \(|\text{det} A|^{n/2} \psi (A^n x - l)\), \(n\in \mathbb{Z}\), \(l\in \mathbb{Z}^d\), forms an orthonormal basis for \(L^2(\mathbb{R ...
Dai, X., Diao, Y., Gu, Q., Han, D.
openaire   +3 more sources

Wavelet analysis of DNA sequences

Genetic Analysis: Biomolecular Engineering, 1996
Wavelet decomposition is applied to the analysis of the nucleotide sequence of the rhodopsin gene of Chinese Hamster cells. The Lipschitz-Hölder exponents for the probability measurements of adenine, guanine, thymine and cytosine distributions are obtained. The local scaling found by means of wavelet analysis is argued to be an indication of long-range
M, Altaiski, O, Mornev, R, Polozov
openaire   +2 more sources

Discrete Wavelet Analysis

2013
Wavelets are oscillations, supposedly resulting from multiple smaller wavelets, and they are, traditionally, analyzed with polynomial, sine and cosine, and other functions. Ingrid Daubechies (1988) demonstrated that the repeated use of sharply spiked functions with multiple scales as basis functions for wavelet analysis provided better data-fit, and ...
Ton J. Cleophas, Aeilko H. Zwinderman
openaire   +1 more source

Harmonic wavelet analysis

Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 1993
A new harmonic wavelet is suggested. Unlike wavelets generated by discrete dilation equations, whose shape cannot be expressed in functional form, harmonic wavelets have the simple structure ω(x) = {exp(i4π x ) - exp(i2π x )}/i2π x .
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Wavelet analysis of oddball P300

International Journal of Psychophysiology, 2001
The comparative wavelet analysis presented in details by Demiralp et al. (1999), Ademoglu (1995) and by Başar et al. (2001) will be now applied to oddball P300 results (see Başar-Eroglu et al., 2001). The results obtained basically confirm those obtained by using adaptive digital filtering: The delta response dominates the P300 potential while the ...
T, Demiralp   +4 more
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Wavelet Analysis

2021
John L. Semmlow, Benjamin Griffel
openaire   +2 more sources

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