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Introduction to orthogonal transforms : with applications in data processing and analysis / Ruye Wang.

By: Material type: TextTextPublication details: Cambridge : Cambridge University Press, 2012.Description: xxii, 568 p. : illustrations ; 26 cmISBN:
  • 9780521516884
Subject(s): DDC classification:
  • 515.723 23 W246
Contents:
1. Signals and systems -- 2. Vector spaces and signal representation -- 3. Continuous-time Fourier transform -- 4. Discrete-time Fourier transform -- 5. Applications of the Fourier transforms -- 6. The Laplace and [zeta]-transforms -- 7. Fourier-related orthogonal transforms -- 8. The Walsh-Hadamard, slant, and Haar transforms -- 9. Karhunen-Loève transform and principal component analysis -- 10. Continuous- and discrete-time wavelet transforms -- 11. Multiresolultion analysis and discrete wavelet transform -- A. Review of linear algebra -- B. Review of random variables -- Bibliography -- Index.
Summary: A systematic, unified treatment of orthogonal transform methods that guides the reader from mathematical theory to problem solving in practice.
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Includes bibliographical references and index.

1. Signals and systems --
2. Vector spaces and signal representation --
3. Continuous-time Fourier transform --
4. Discrete-time Fourier transform --
5. Applications of the Fourier transforms --
6. The Laplace and [zeta]-transforms --
7. Fourier-related orthogonal transforms --
8. The Walsh-Hadamard, slant, and Haar transforms --
9. Karhunen-Loève transform and principal component analysis --
10. Continuous- and discrete-time wavelet transforms --
11. Multiresolultion analysis and discrete wavelet transform --
A. Review of linear algebra --
B. Review of random variables --
Bibliography --
Index.

A systematic, unified treatment of orthogonal transform methods that guides the reader from mathematical theory to problem solving in practice.

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