Discrete Fourier Analysis and Wavelets : Applications to Signal and Image Processing
Language: English
Published by Wiley & Sons, Incorporated, John, 2008
- Hardcover
- Used

Seller: Better World Books Ltd, Dunfermline, United KingdomBetter World Books Ltd
AbeBooks seller since October 13, 2008
Condition: Used - Very good
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- Title
- Discrete Fourier Analysis and Wavelets : Applications to Signal and Image Processing
- Author
- Broughton, S. Allen, Bryan, Kurt M.
- Publisher
- Wiley & Sons, Incorporated, John
- Publication year
- 2008
- Condition
- Very Good
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0470294663
- ISBN 13
- 9780470294666
- Item weight
- 1.345 pounds
- Dimensions
- N/A
Discrete Fourier Analysis and Wavelets presents a thorough introduction to the mathematical foundations of signal and image processing. Key concepts and applications are addressed in a thought–provoking manner and are implemented using vector, matrix, and linear algebra methods. With a balanced focus on mathematical theory and computational techniques, this self–contained book equips readers with the essential knowledge needed to transition smoothly from mathematical models to practical digital data applications.
The book first establishes a complete vector space and matrix framework for analyzing signals and images. Classical methods such as the discrete Fourier transform, the discrete cosine transform, and their application to JPEG compression are outlined followed by coverage of the Fourier series and the general theory of inner product spaces and orthogonal bases. The book then addresses convolution, filtering, and windowing techniques for signals and images. Finally, modern approaches are introduced, including wavelets and the theory of filter banks as a means of understanding the multiscale localized analysis underlying the JPEG 2000 compression standard.
Throughout the book, examples using image compression demonstrate how mathematical theory translates into application. Additional applications such as progressive transmission of images, image denoising, spectrographic analysis, and edge detection are discussed. Each chapter provides a series of exercises as well as a MATLAB project that allows readers to apply mathematical concepts to solving real problems. Additional MATLAB routines are available via the book′s related Web site.
With its insightful treatment of the underlying mathematics in image compression and signal processing, Discrete Fourier Analysis and Wavelets is an ideal book for mathematics, engineering, and computer science courses at the upper–undergraduate and beginning graduate levels. It is also a valuable resource for mathematicians, engineers, and other practitioners who would like to learn more about the relevance of mathematics in digital data processing.
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About the Author
Kurt Bryan, PhD, is Professor of Mathematics at the Rose–Hulman Institute of Technology. Dr. Bryan has published more than twenty journal articles, and he currently focuses his research on partial differential equations related to electrical and thermal imaging.
"About the title" may belong to another edition of this title.
Better World Books Ltd
Dunfermline, United Kingdom
AbeBooks seller since October 13, 2008
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