Lecture Notes on Wavelet Transforms

• Main Authors: Debnath, Lokenath (Author), Shah, Firdous A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
• Series: Compact Textbooks in Mathematics,
• Subjects: Mathematics.; Harmonic analysis.; Fourier analysis.; Functional analysis.; Abstract Harmonic Analysis.; Functional Analysis.; Fourier Analysis.; Signal, Image and Speech Processing.

This book provides a systematic exposition of the basic ideas and results of wavelet analysis suitable for mathematicians, scientists, and engineers alike. The primary goal of this text is to show how different types of wavelets can be constructed, illustrate why they are such powerful tools in math...

Table of Contents:

• The Fourier Transform
• The Time-Frequency Analysis
• The Wavelet Transforms
• Construction of Wavelets via MRA
• Elongations of MRA Based Wavelets. .