Introduction to Wavelet Transforms

ISBN-13: 9781032174839 / Angielski / Miękka / 2021 / 484 str.

Nirdosh Bhatnagar

Opis

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.

Spis treści

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

O autorze

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.