Ebook: Wavelets and Subbands: Fundamentals and Applications
- Tags: Signal Image and Speech Processing, Communications Engineering Networks
- Series: Applied and Numerical Harmonic Analysis
- Year: 2002
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
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,
Content:
Front Matter....Pages i-xvii
Front Matter....Pages 1-1
Introduction....Pages 1-12
Front Matter....Pages 13-13
Wavelet Fundamentals....Pages 15-100
Front Matter....Pages 101-101
Time-Frequency Analysis of Signals....Pages 103-187
Discrete Wavelet Transform: From Frames to Fast Wavelet Transform....Pages 189-272
Theory of Subband Decomposition....Pages 273-338
Two-Dimensional Wavelet Transforms and Applications....Pages 339-382
Front Matter....Pages 383-383
Applications of Wavelets to the Analysis of Transient Signals....Pages 385-421
Applications of Subband and Wavelet Transform in Digital Communications....Pages 423-472
Real-Time Implementations of the Wavelet Transform....Pages 473-520
Back Matter....Pages 507-551
Content:
Front Matter....Pages i-xvii
Front Matter....Pages 1-1
Introduction....Pages 1-12
Front Matter....Pages 13-13
Wavelet Fundamentals....Pages 15-100
Front Matter....Pages 101-101
Time-Frequency Analysis of Signals....Pages 103-187
Discrete Wavelet Transform: From Frames to Fast Wavelet Transform....Pages 189-272
Theory of Subband Decomposition....Pages 273-338
Two-Dimensional Wavelet Transforms and Applications....Pages 339-382
Front Matter....Pages 383-383
Applications of Wavelets to the Analysis of Transient Signals....Pages 385-421
Applications of Subband and Wavelet Transform in Digital Communications....Pages 423-472
Real-Time Implementations of the Wavelet Transform....Pages 473-520
Back Matter....Pages 507-551
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