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Wavelets - From Math to Practice
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Wavelets - From Math to Practice
von: Desanka P. Radunovic
Springer-Verlag, 2010
ISBN: 9783642006142
174 Seiten, Download: 7705 KB
 
Format:  PDF
geeignet für: Apple iPad, Android Tablet PC's Online-Lesen PC, MAC, Laptop

Typ: B (paralleler Zugriff)

 

 
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Inhaltsverzeichnis

  Title Page 2  
  Copyright Page 3  
  Preface 6  
  Table of contents 8  
  List of Figures 10  
  1 Introduction 12  
  2 Least-squares approximation 18  
     2.1 Basic notations and properties 18  
     2.2 Fourier analysis 23  
     2.3 Fourier transforrn 31  
  3 Multiresolution 46  
     3.1 Multiresolution analysis 46  
     3.2 Function decomposition 50  
     3.3 Pyramid algorithm 56  
     3.4 Construction of rnultiresolution 58  
  4 Wavelets 66  
     4.1 Dilatation equation 67  
     4.2 Frequency domain 70  
     4.3 Matrix interpretation 74  
     4.4 Properties 80  
     4.5 Convergence 86  
  5 How to compute 94  
     5.1 Discrete wavelet transform 94  
     5.2 Daubechies wavelets 104  
     5.3 Biorthogonal wavelets 106  
     5.4 Cardinal B-splines 109  
     5.5 Interpolation wavelets 116  
     5.6 Second generation wavelets 122  
     5.7 Nonstandard wavelets 127  
  6 Analogy with filters 134  
     6.1 Signal 134  
     6.2 Filter 137  
     6.3 Orthogonal filter bank 142  
     6.4 Daubechies filters 149  
     6.5 Filter properties important for wavelets 155  
  7 Applications 160  
     7.1 Signal and image processing 160  
     7.2 Numerical modeling 164  
  Bibliography 168  
  Index 172  


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