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AuthorAbbate, Agostino. author
TitleWavelets and Subbands [electronic resource] : Fundamentals and Applications / by Agostino Abbate, Casimer M. DeCusatis, Pankaj K. Das
ImprintBoston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 2002
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Descript XVII, 551 p. online resource


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. Ẁavelets 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,


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

Mathematics Fourier analysis Computer mathematics Electrical engineering Mathematics Computational Mathematics and Numerical Analysis Fourier Analysis Signal Image and Speech Processing Communications Engineering Networks


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