Generation of wavelets by semigroups

Title

Generation of wavelets by semigroups

 Author

de Moor, Timothy (TU Delft Electrical Engineering, Mathematics and Computer Science; TU Delft Delft Institute of Applied Mathematics)

Contributor

Frey, Dorothee (mentor)

Degree granting institution

Delft University of Technology

 Programme

Applied Mathematics

 Date

2018-09-12

 Abstract

Wavelets are a recent development in signal processing. These kind of functions
are both well-localized in time and in frequency, and so using these to transform the signal gives insight where certain frequencies are needed. The classical way of constructing wavelets, as described by Daubechies and Meyer [3,9] is only well-suited for the real numbers, so new methods are developed for a broader range of spaces. In this paper, we describe the algorithm developed by Coifman and Maggioni [1], and the algorithm developed by Coulhon et al. [11]. Lastly, we modify the last algorithm using the finite speed of propagation property, and so we obtain a new way of developing wavelets.

 Subject

wavelets
semigroups
construction

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http://resolver.tudelft.nl/uuid:3d16b6f2-98ba-44fd-8375-cbac11ffaa1b

 Part of collection

Student theses

 Document type

master thesis

 Rights

© 2018 Timothy de Moor
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