Wavelets and Subbands Fundamentals and Applications

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,...

Full description

Bibliographic Details
Main Authors: Abbate, Agostino, DeCusatis, Casimer (Author), Das, Pankaj K. (Author)
Format: eBook
Language:English
Published: Boston, MA Birkhäuser 2002, 2002
Edition:1st ed. 2002
Series:Applied and Numerical Harmonic Analysis
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
LEADER 03925nmm a2200373 u 4500
001 EB000617985
003 EBX01000000000000000471067
005 00000000000000.0
007 cr|||||||||||||||||||||
008 140122 ||| eng
020 |a 9781461201137 
100 1 |a Abbate, Agostino 
245 0 0 |a Wavelets and Subbands  |h Elektronische Ressource  |b Fundamentals and Applications  |c by Agostino Abbate, Casimer DeCusatis, Pankaj K. Das 
250 |a 1st ed. 2002 
260 |a Boston, MA  |b Birkhäuser  |c 2002, 2002 
300 |a XVII, 551 p  |b online resource 
505 0 |a 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 
653 |a Fourier Analysis 
653 |a Computational Mathematics and Numerical Analysis 
653 |a Mathematics / Data processing 
653 |a Signal, Speech and Image Processing 
653 |a Telecommunication 
653 |a Communications Engineering, Networks 
653 |a Signal processing 
653 |a Fourier analysis 
700 1 |a DeCusatis, Casimer  |e [author] 
700 1 |a Das, Pankaj K.  |e [author] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b SBA  |a Springer Book Archives -2004 
490 0 |a Applied and Numerical Harmonic Analysis 
028 5 0 |a 10.1007/978-1-4612-0113-7 
856 4 0 |u https://doi.org/10.1007/978-1-4612-0113-7?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 518 
520 |a 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,