Wavelet Transforms and Their Applications

• Main Authors: Debnath, Lokenath (Author), Shah, Firdous Ahmad (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2015.
• Edition: 2nd ed. 2015.
• Subjects: Engineering.; Functional analysis.; Applied mathematics.; Engineering mathematics.; Signal, Image and Speech Processing.; Functional Analysis.; Applications of Mathematics.

This textbook is an introduction to wavelet transforms and accessible to a larger audience with diverse backgrounds and interests in mathematics, science, and engineering. Emphasis is placed on the logical development of fundamental ideas and systematic treatment of wavelet analysis and its applicat...

Table of Contents:

• Brief Historical Introduction
• Hilbert Spaces and Orthonormal Systems
• Fourier Transformations and Their Applictions
• The Gabor Transform and Time-Frequency Signal Analysis
• The Wigner-Ville Distribution and Time-Frequency Signal Analysis
• The Wavelet Transforms and Their Basic Properties
• Multiresolution Analysis and Construction of Wavelets
• Extensions of Multiresolution Analysis
• Newland's Harmonic Wavelets
• Wavelet Transform Analysis of Turbulence.