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Wavelet Theory

2011
Wavelet theory lies on the crossroad of pure and computational mathematics, with connections to audio and video signal processing, data compression, and information transmission. The present book is devoted to a systematic exposition of modern wavelet theory.
Novikov Igor   +2 more
openaire   +2 more sources

Wavelets and Other Orthogonal Systems

, 2018
ORTHOGONAL SERIES General Theory Examples A PRIMER ON TEMPERED DISTRIBUTIONS Intuitive Introduction Test Functions Tempered Distribution Fourier Transforms Periodic Distributions Analytic Representations Sobolev Spaces AN INTRODUCTION TO ORTHOGONAL ...
G. Walter, Xiaoping Shen
semanticscholar   +1 more source

Wavelets and Wavelet Transform

2017
Wavelet transforms are the most powerful and the most widely used tool in the field of image processing. Wavelet transform has received considerable attention in the field of image processing due to its flexibility in representing non-stationary image signals and its ability in adapting to human visual characteristics. Wavelet transform is an efficient
Aparna Vyas, Soohwan Yu, Joonki Paik
openaire   +1 more source

Discrete Wavelets and Fast Wavelet Transform

1991
The wavelet analysis, introduced by J. MORLET and Y. MEYER in the middle of the eighties, is a processus of time-frequency (or time-scale) analysis which consists of decomposing a signal into a basis of functions (o jk ) called wavelets. These wavelets are in turn deduced from the analyzing wavelet o by dilatations and translations. More precisely:
Bonnet, Pierre, Rémond, Didier
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Wavelets, Wavelet Filters, and Wavelet Transforms

2013
Spectral characteristics of speech are known to be particularly useful in describing a speech signal such that it can be efficiently reconstructed after coding or identified for recognition. The wavelets are considered one of such efficient methods for representing the spectrum of speech signals.
openaire   +1 more source

Wavelets and wavelets-design issues

Proceedings of ICCS '94, 2002
This paper attempts to synthesise the wavelet theories to simple design procedures so that applied researchers can readily select or design wavelets with chosen characteristics for particular applications. The paper highlights the importance of the four most desirable characteristics of wavelets for use in digital signal processing, namely ...
null Thong Nguyen, null Dadang Gunawan
openaire   +1 more source

On Sampling Theorem, Wavelets and Wavelet Transforms

Proceedings. IEEE International Symposium on Information Theory, 1993
Summary: The classical Shannon sampling theorem has resulted in many applications and generalizations. From a multiresolution point of view, it provides the sinc scaling function. In this case, for a band-limited signal, its wavelet series transform (WST) coefficients below a certain resolution level can be exactly obtained from the samples with a ...
Xia, Xiang-Gen, Zhang, Zhen
openaire   +1 more source

Wavelets

2000
Abstract In recent years there has been an explosion of interest in wavelets, in a wide range of fields in science and engineering and beyond. This book brings together contributions from researchers from disparate fields, both in order to demonstrate to a wide readership the current breadth of work in wavelets, and to encourage cross ...
Yuri Golubev   +5 more
  +4 more sources

Wavelets and wavelet thresholding

2001
Every theory starts from an idea. The wavelet idea is simple and clear. At a first confrontation, the mathematics that work out this idea might appear strange and difficult. Nevertheless, after a while, this theory leads to insight in the mechanism in wavelet based algorithms in a variety of applications.
openaire   +1 more source

Wavelet and wavelet packet compression of electrocardiograms

IEEE Transactions on Biomedical Engineering, 1997
Wavelets and wavelet packets have recently emerged as powerful tools for signal compression. Wavelet and wavelet packet-based compression algorithms based on embedded zerotree wavelet (EZW) coding are developed for electrocardiogram (ECG) signals, and eight different wavelets are evaluated for their ability to compress Holter ECG data.
openaire   +2 more sources

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