Wavelets and Signal Processing: An Application-Based Introduction

Preface......Page 7
Contents......Page 9
1.1 Signals and Signal Processing......Page 11
1.2 Local Analysis......Page 12
1.3 A Roadmap for the Book......Page 21
2 Continuous Analysis......Page 23
2.1 The Short Time Fourier Transform (STFT)......Page 24
2.2 The Continuous Wavelet Transform (CWT)......Page 31
2.3 Case Studies......Page 43
2.4 Notes and Exercises......Page 50
3.1 Redundancy of the CWT and the STFT......Page 53
3.2 The Haar-System......Page 55
3.3 Generalization to Daubechies-Wavelets......Page 63
3.4 Multiscale Analysis......Page 70
3.5 A Unifying Viewpoint: Basis Systems......Page 85
3.6 Case Studies......Page 91
3.7 Notes and Exercises......Page 101
4.1 The Transform Compression Scheme......Page 105
4.2 Wavelet-Based Similarity Retrieval in Image Archives......Page 126
4.3 Notes and Exercises......Page 133
5.1 Fourier Transform and Uncertainty Relation......Page 135
5.2 Discrete Fourier Transform (DFT)......Page 138
5.3 Digital Filters......Page 140
5.4 Solutions to Selected Problems......Page 144
5.5 Notations and Symbols......Page 156
References......Page 157
Index......Page 159