
Introduction to Orthogonal Transforms
With Applications in Data Processing and Analysis
- English
- PDF
- Available on iOS & Android
About this book
A systematic, unified treatment of orthogonal transform methods for signal processing, data analysis and communications, this book guides the reader from mathematical theory to problem solving in practice. It examines each transform method in depth, emphasizing the common mathematical principles and essential properties of each method in terms of signal decorrelation and energy compaction. The different forms of Fourier transform, as well as the Laplace, Z-, Walsh–Hadamard, Slant, Haar, Karhunen–Loève and wavelet transforms, are all covered, with discussion of how each transform method can be applied to real-world experimental problems. Numerous practical examples and end-of-chapter problems, supported by online Matlab and C code and an instructor-only solutions manual, make this an ideal resource for students and practitioners alike.
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Information
Table of contents
- Cover
- Introduction to Orthogonal Transforms: With Applications in Data Processing and Analysis
- Title
- Copyright
- Dedication
- Contents
- Preface
- Acknowledgments
- Notation
- 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 z-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: Multiresolution analysis and discrete wavelet transform
- Appendices
- Bibliography
- Index