Learning to swim in a sea of wavelets | Zendy

Adhemar Bultheel | Zendy

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Learning to swim in a sea of wavelets

Author(s) -

Adhemar Bultheel

Publication year - 1995

Publication title -

bulletin of the belgian mathematical society - simon stevin

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.36

H-Index - 31

eISSN - 2034-1970

pISSN - 1370-1444

DOI - 10.36045/bbms/1103408773

Subject(s) - wavelet , legendre wavelet , context (archaeology) , relation (database) , scaling , computer science , function (biology) , multiresolution analysis , gabor wavelet , artificial intelligence , wavelet transform , discrete wavelet transform , algorithm , calculus (dental) , algebra over a field , mathematics , pure mathematics , data mining , geology , geometry , medicine , paleontology , dentistry , evolutionary biology , biology

We give some introductory notes about wavelets, motivating and deriving the basic relations that are used in this context. These notes should be considered as in introduction to the literature. They are far from complete but we hope it can motivate some readers to get involved with a quite interesting piece of mathematics which is the result of a lucky mariage between the results of the signal processing community and results in multiresolution analysis. We try to give answers to the questions: What are wavelets? What is their relation to Fourier analysis? Where do the scaling function and the wavelet function come from? Why can they be useful? What is a wavelet transform? Where and how are they applied?

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