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

Released on by Roe W Goodman
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  • Discrete Fourier And Wavelet Transforms: An Introduction Through Linear Algebra With Applications To Signal Processing Book Detail

  • Author : Roe W Goodman
  • Release Date : 2016-01-21
  • Publisher : World Scientific Publishing Company
  • Genre : Mathematics
  • Pages : 301
  • ISBN 13 : 981472579X
  • File Size : 36,36 MB
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Discrete Fourier And Wavelet Transforms: An Introduction Through Linear Algebra With Applications To Signal Processing by Roe W Goodman PDF Summary

Book 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 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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Discrete Fourier Analysis and Wavelets

Discrete Fourier Analysis and Wavelets

File Size : 17,17 MB
Total View : 3060 Views
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A thorough guide to the classical and contemporary mathematical methods of modern signal and image processing Discrete Fourier Analysis and Wavelets presents a