Goodman R Discrete Fourier And Wavelet Transforms An Introduction 2016
General:
Name: Goodman R Discrete Fourier And Wavelet Transforms An Introduction 2016
Format: pdf
Size: 2.61 MB
Book:
Title: Discrete Fourier and Wavelet Transforms: An Introduction through Linear Algebra with Applications to Signal Processing
Author: Roe W. Goodman
Language: polski
Year: 2016
Subjects: N/A
Publisher: World Scientific Publishing Company, Incorporated
ISBN: 9789814725774
Total pages: 301
Description:
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 twochannel 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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