The mysterious wavelets world

Abstract

This survey paper contains the basic ideas of windowed Fourier transform, wavelet transform, wavelet bases and multiresolution analysis, providing important information that introduces the reader at the forefront of current research.

Authors

Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

Fourier transform; wavelet bases; multiresolution analysis; scaling function; time-frequency signal analysis

Paper coordinates

O. Agratini, The mysterious wavelets world, Poceedings of the 5th Romanian-German Seminar on Mathematical Analysis and Approximation Theory, Sibiu, June 2002, pp.9-35

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About this paper

Journal

Mathematical Analysis and Approximation Theory

Publisher Name
DOI
Print ISSN

0973-5119

Online ISSN

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[5] Debnath, L., Wavelet Transform and Their Applications,  Birkhauser, Boston Basel Berlin, 2002.
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[7] Meyer, Y., Wavelets – Algorithms and Applications, SIAM, Philadelphia, PA, 1993.
[8] Odgen, R.T., Essential Wavelets for Statistical Applicaitons and Data Analysis, Boston, Birkhauser, 1997.
[9] Soardi, P.M., Apprunti sulle Ondine, Quaderni dell’Unione Matematica Italiana, 44, Pitagora Editrice, Bologna, 1998.
[10] Stănășila, O.,  Analiza matematică a semnalelor și undinelor,  Matrix Rom. București, 1997.

2002

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