Ruye WangCambridge University PressEdition: Illustrated, 3/8/2012EAN 9780521516884, ISBN10: 0521516889Hardcover, 590 pages, 25.1 x 18 x 3 cmLanguage: EnglishA 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.1. Signals and systems2. Vector spaces and signal representation3. Continuous-time Fourier transform4. Discrete-time Fourier transform5. Applications of the Fourier transforms6. The Laplace and z-transforms7. Fourier related orthogonal transforms8. The Walsh–Hadamard, slant and Haar transforms9. Karhunen–Loeve transform and principal component analysis10. Continuous and discrete-time wavelet transforms11. Multiresolution analysis and discrete wavelet transformAppendix 1. Review of linear algebraAppendix 2. Review of random variables.
