Wavelets and Subbands

Fundamentals and Applications
Softcover Nachdruck of the original 1. Auflage 2002
ISBN: 978-1-4612-6618-1
Verlag: Birkhäuser Boston

Buch, Englisch, 551 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 855 g

Reihe: Applied and Numerical Harmonic Analysis

Recently there has been intense research activity on the subject

of wavelet and subband theory. Experts in diverse fields such as

mathematics, physics, electrical engineering, and image processing

have provided original and pioneering works and results. But this

diversity, while rich and productive, has led to a sense of

fragmentation, especially to those new to the field and to

nonspecialists who are trying to understand the connections between

the different aspects of wavelet and subband theory.

`Wavelets and Subbands' is designed to present an understanding

of wavelets and their development from a continuous-domain

transformation to a frame representation and finally to

multiresolution analysis tools such as subband decomposition. The book

presents a theoretical understanding of the subject that is

intertwined with practical examples and applications of wavelets in

ultrasonic and biomedical domains. There is special emphasis on

applications in communications, compression, and image processing.

Topics and Features: * Provides an understanding of the link

between the continuous wavelet transform, the fast wavelet transform,

and subband decomposition * Algorithms and numerical examples are

implemented in MATLAB * Discusses the design of wavelet bases and

details how to implement the transform both in hardware and software *

Covers the fundamentals and the developments of the links between

areas such as time-frequency analysis, digital signal processing,

image processing, and Fourier and wavelet transform, both continuous

and discrete * Offers extended mathematical treatment and numerous

examples, with particular emphasis on the transition from the

continuous domain to multiresolution and subband decomposition.

The book is an essential text and reference for graduates,

researchers, and professionals in electrical engineering,

Zielgruppe

Professional/practitioner

Autoren/Hrsg.

Abbate, Agostino

Das, Pankaj K.

DeCusatis, Casimer

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen
• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Technische Wissenschaften Sonstige Technologien | Angewandte Technik Signalverarbeitung, Bildverarbeitung, Scanning

Inhaltsverzeichnis

1. Introduction.- 1.1 Historical Review: From Fourier Analysis to Wavelet Analysis and Subband.- 1.2 Organization of This Book.- 1.3 References.- I: Fundamentals.- 2. Wavelet Fundamentals.- II: Wavelets and Subbands.- 3. Time and Frequency Analysis of Signals.- 4. Discrete Wavelet Transform: From Frames to Fast Wavelet Transform.- 5. Theory of Subband Decomposition.- 6. Two-Dimensional Wavelet Transforms and Applications.- III: Applications.- 7. Applications of Wavelets in the Analysis of Transient Signals.- 8. Applications of Subband and Wavelet Transform in Communication Systems.- 9. Real-Time Implementations of Wavelet Transforms.- A. Fourier Transform.- B. Discrete Fourier Transform.- C. z-Transform.- D. Orthogonal Representation of Signals.