Wavelets and Signal Processing : An Application-Based Introduction

"As the applications of wavelets transform have spread to diverse areas of signal analysis and compression, students and practitioners need a practical introduction and overview. This textbook provides that concise and practical introduction to the underlying foundations and important applications. Through numerous examples and case studies from industry, it demonstrates both the potential and the limits of wavelet techniques, expanding the usual treatment beyond the discrete wavelet transform to the continuous transform. Providing the basics of Fourier transforms and digital filters in the appendix, the text is supplemented with end-of-chapter exercises, MATLAB code, and a short introduction to the MATLAB wavelet toolbox. Students of electrical engineering and engineers in industry can benefit from the concentration on real applications."--Résumé de l'éditeur 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 "As the applications of wavelets transform have spread to diverse areas of signal analysis and compression, students and practitioners need a practical introduction and overview. This textbook provides that concise and practical introduction to the underlying foundations and important applications. Through numerous examples and case studies from industry, it demonstrates both the potential and the limits of wavelet techniques, expanding the usual treatment beyond the discrete wavelet transform to the continuous transform. Providing the basics of Fourier transforms and digital filters in the appendix, the text is supplemented with end-of-chapter exercises, MATLAB code, and a short introduction to the MATLAB wavelet toolbox. Students of electrical engineering and engineers in industry can benefit from the concentration on real applications."--Résumé de l'éditeur "As the applications of wavelets transform have spread to diverse areas of signal analysis and compression, students and practitioners need a practical introduction and overview. This textbook provides that concise and practical introduction to the underlying foundations and important applications. Through numerous examples and case studies from industry, it demonstrates both the potential and the limits of wavelet techniques, expanding the usual treatment beyond the discrete wavelet transform to the continuous transform. Providing the basics of Fourier transforms and digital filters in the appendix, the text is supplemented with end-of-chapter exercises, MATLAB code, and a short introduction to the MATLAB wavelet toolbox. Students of electrical engineering and engineers in industry can benefit from the concentration on real applications."--BOOK JACKET 1. Introduction -- 2. Continuous Analysis -- 3. The Discrete Wavelet Transform -- 4. More Applications -- 5. Appendix. Hans-georg Stark. Introduction. Includes Bibliographical References (p. [147]-148) And Index.