- 278 pages
- English
- PDF
- Available on iOS & Android
An Introduction to Wavelets
About This Book
Wavelet Analysis and its Applications, Volume 1: An Introduction to Wavelets provides an introductory treatise on wavelet analysis with an emphasis on spline-wavelets and time-frequency analysis. This book is divided into seven chapters. Chapter 1 presents a brief overview of the subject, including classification of wavelets, integral wavelet transform for time-frequency analysis, multi-resolution analysis highlighting the important properties of splines, and wavelet algorithms for decomposition and reconstruction of functions. The preliminary material on Fourier analysis and signal theory is covered in Chapters 2 and 3. Chapter 4 covers the introductory study of cardinal splines, while Chapter 5 describes a general approach to the analysis and construction of scaling functions and wavelets. Spline-wavelets are deliberated in Chapter 6. The last chapter is devoted to an investigation of orthogonal wavelets and wavelet packets. This volume serves as a textbook for an introductory one-semester course on "wavelet analysis" for upper-division undergraduate or beginning graduate mathematics and engineering students.
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Table of contents
- Front Cover
- An Introduction to Wavelets
- Copyright Page
- Table of Contents
- Preface
- Chapter 1. An Overview
- Chapter 2. Fourier Analysis
- Chapter 3. Wavelet Transforms and Time-Frequency Analysis
- Chapter 4. Cardinal Spline Analysis
- Chapter 5. Scaling Functions and Wavelets
- Chapter 6. Cardinal Spline-Wavelets
- Chapter 7. Orthogonal Wavelets and Wavelet Packets
- Notes
- References
- Subject Index
- Appendix