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Introduction to Wavelet Transforms

Autor Nirdosh Bhatnagar
en Limba Engleză Paperback – 30 sep 2021
The textbook, Introduction to Wavelet Transforms provides basics of wavelet transforms in a self-contained manner. Applications of wavelet transform theory permeate our daily lives. Therefore it is imperative to have a strong foundation for this subject.




Features








  • No prior knowledge of the subject is assumed. Sufficient mathematical background is provided to complete the discussion of different topics.












  • Different topics have been properly segmented for easy learning. This makes the textbook pedagogical and unique.












  • Notation is generally introduced in the definitions. Relatively easy consequences of the definitions are listed as observations, and important results are stated as theorems.












  • Examples are provided for clarity and to enhance reader's understanding of the subject.












  • Each chapter also has a problem section. A majority of the problems are provided with sufficient hints.










The textbook can be used either in an upper-level undergraduate or first-year graduate class in electrical engineering, or computer science, or applied mathematics. It can also be used by professionals and researchers in the field who would like a quick review of the basics of the subject.




About the Author


Nirdosh Bhatnagar works in both academia and industry in Silicon Valley, California. He is also the author of a comprehensive two-volume work: Mathematical Principles of the Internet, published by the CRC Press in the year 2019. Nirdosh earned M.S. in Operations Research, and M.S. and Ph.D. in electrical engineering, all from Stanford University, Stanford, California.
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Specificații

ISBN-13: 9781032174839
ISBN-10: 1032174838
Pagini: 484
Ilustrații: 12
Dimensiuni: 156 x 234 x 25 mm
Greutate: 0.65 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC

Notă biografică

Nirdosh Bhatnagar works, both in the academia and industry in Silicon Valley, California, USA. He is the author of several papers and reports. Nirdosh earned an MS in operations research, and MS and PhD in electrical engineering, all from Stanford University, Stanford, California.

Cuprins

Table of Contents


Preface


List of Symbols


Greek Symbols


Part I. Basics of Wavelet Transforms.


Introduction to Wavelets


Continuous Wavelet Transform


Discrete Wavelet Transform


Daubechies Wavelets 


Some Examples of Wavelets.


Applications


Part II. Intermediate Topics.


Periodic Wavelet Transform


Biorthogonal Wavelet Transform


Coiflets


The Lifting Technique


Wavelet Packets


Lapped Orthogonal Transform.


Part III. Signal Processing.


Discrete Fourier Transform


The z-Transform and Discrete-Time Fourier Transform


Elements of Continuous-Time Signal Processing


Elements of Discrete-Time Signal Processing


Part IV. Mathematical Concepts


Set-Theoretic Concepts and Number Theory


Matrices and Determinants


Applied Analysis


Fourier Theory


Probability Theory and Stochastic Processes


References 


Index

Descriere

This book introduces the basics of wavelet transforms, including continuous and discrete wavelet transforms, and Daubechies wavelets. It also includes elementary examples of wavelets, and certain well-known applications.