TY  - BOOK
AU  - Wang,Ruye
TI  - Introduction to orthogonal transforms: with applications in data processing and analysis 
SN  - 9781139015158 (ebook)
AV  - QA404.5 .W36 2012
U1  - 515.723 22
PY  - 2012///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Functions, Orthogonal
KW  - Orthogonal polynomials
KW  - Orthogonal arrays
KW  - Orthogonalization methods
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); 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 [zeta]-transforms -- 7. Fourier-related orthogonal transforms -- 8. The Walsh-Hadamard, slant, and Haar transforms -- 9. Kaarhunen-Loève transform and principal component analysis -- 10. Continuous- and discrete-time wavelet transforms -- 11. Multiresolultion analysis and discrete wavelet transform  -- A. Review of linear algebra -- B. Review of random variables
N2  - 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
UR  - https://doi.org/10.1017/CBO9781139015158
ER  -