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.
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.
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.
Inhaltsangabe
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
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
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
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
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