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Discrete Fourier And Wavelet Transforms: An Introduction Through Linear Algebra With Applications To Signal Processing
 

Discrete Fourier And Wavelet Transforms: An Introduction Through Linear Algebra With Applications To Signal Processing (Hardback)

By Goodman, Roe W.

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This textbook for undergraduate mathematics, science, and engineering students introduces the theory and applications of discrete Fourier and wavelet transforms using elementary linear algebra, without assuming prior knowledge of signal processing or advanced analysis.It explains... read full description below.

ISBN 9789814725767
Published 22 January 2016 by World Scientific Publishing Co
Format Hardback
Alternate Format(s) View All (1 other possible title(s) available)
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Internationally sourced; ships 6-12 working days

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Full details for this title

ISBN-13 9789814725767
ISBN-10 9814725765
Stock Available
Status Internationally sourced; ships 6-12 working days
Publisher World Scientific Publishing Co
Imprint World Scientific Publishing Co Pte Ltd
Publication Date 22 January 2016
Publication Country Singapore Singapore
Format Hardback
Author(s) By Goodman, Roe W.
Category Numerical Analysis
Communications Engineering / Telecommunications
Signal Processing
Number of Pages 300
Dimensions Width: 175mm
Height: 249mm
Spine: 18mm
Weight 680g
Interest Age 19+ years
Reading Age 19+ years
NBS Text Mathematics
ONIX Text College/higher education;Professional and scholarly
Dewey Code Not specified
Catalogue Code Not specified

Description of this Book

This textbook for undergraduate mathematics, science, and engineering students introduces the theory and applications of discrete Fourier and wavelet transforms using elementary linear algebra, without assuming prior knowledge of signal processing or advanced analysis.It explains how to use the Fourier matrix to extract frequency information from a digital signal and how to use circulant matrices to emphasize selected frequency ranges. It introduces discrete wavelet transforms for digital signals through the lifting method and illustrates through examples and computer explorations how these transforms are used in signal and image processing. Then the general theory of discrete wavelet transforms is developed via the matrix algebra of two-channel filter banks. Finally, wavelet transforms for analog signals are constructed based on filter bank results already presented, and the mathematical framework of multiresolution analysis is examined.

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