From Fourier Analysis to Wavelets
This text introduces the basic concepts of function spaces and operators, both from the continuous and discrete viewpoints. Fourier and Window Fourier Transforms are introduced and used as a guide to arrive at the concept of Wavelet transform. The fundamental aspects of multiresolution representat...
| Main Authors: | , |
|---|---|
| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| Edition: | 1st ed. 2015. |
| Series: | IMPA Monographs ;
3 |
| Subjects: | |
| Online Access: | Full Text via HEAL-Link |
Table of Contents:
- Introduction
- Function Representation and Reconstruction
- The Fourier Transform
- Windowed Fourier Transform
- The Wavelet Transform
- Multiresolution Representation
- The Fast Wavelet Transform
- Filter Banks and Multiresolution
- Constructing Wavelets
- Wavelet Design
- Orthogonal Wavelets
- Biorthogonal Wavelets
- Directions and Guidelines
- Appendices.
