This volume is designed as a textbook for an introductory course on wavelet analysis and time-frequency analysis aimed at graduate students or advanced undergraduates in science and engineering. It can also be used as a self-study orreference book by practicing researchers in signal analysis and related areas. Since the expected audience is not presumed to have a high level of mathematical background, much of the needed analytical machinery is developed from thebeginning. The only prerequisites for the first eight chapters are matrix theory, Fourier series, and Fourier integral transforms. Each of these chapters ends with a set of straightforward exercises designed to drive home the concepts just covered, and the many graphics should further facilitate absorption. Considered one of the best textbooks on this topic for mathematicians and physicists interested in wavelet analysis Covers all the fundamental concepts of wavelets in an elegant, straightforward way Has a number of unique features, which makes the book particularly valuable for newcomers to the field INDICE: Preface.- Suggestions to the Reader.- Symbols, Conventions, and Transforms.- Part I: Basic Wavelet Analysis . Preliminaries: Background and Notation .- Windowed Fourier Transforms .- Continuous Wavelet Transforms .- Generalized Frames: Key to Analysis and Synthesis .- Discrete Time-Frequency Analysis and Sampling .- Discrete Time-Scale Analysis .- Multiresolution Analysis .- Daubechies’ Orthonormal Wavelet Bases .- Part II: Physical Wavelets .- Introduction to Wavelet Electromagnetics .- Applications to Radar and Scattering .- Wavelet Acoustics .- References .- Index.
- ISBN: 978-0-8176-8110-4
- Editorial: Birkhaüser
- Encuadernacion: Rústica
- Páginas: 300
- Fecha Publicación: 29/11/2010
- Nº Volúmenes: 1
- Idioma: Inglés