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Introduction to Orthogonal Transforms : With Applications in Data Processing and Analysis.
A systematic, unified treatment of orthogonal transform methods that guides the reader from mathematical theory to problem solving in practice.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2012.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mi 4500 | ||
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| 003 | OCoLC | ||
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| 100 | 1 | |a Wang, Ruye. | |
| 245 | 1 | 0 | |a Introduction to Orthogonal Transforms : |b With Applications in Data Processing and Analysis. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2012. | ||
| 300 | |a 1 online resource (592 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; Introduction to Orthogonal Transforms: With Applications in Data Processing and Analysis; Title; Copyright; Dedication; Contents; Preface; What is the book all about?; Why orthogonal transforms?; What is in the chapters?; Who are the intended readers?; About the homework problems and projects; Back to Euclid; Acknowledgments; Notation; General notation; 1: Signals and systems; 1.1 Continuous and discrete signals; 1.2 Unit step and nascent delta functions; 1.3 Relationship between complex exponentials and delta functions; 1.4 Attributes of signals. | |
| 505 | 8 | |a 1.5 Signal arithmetics and transformations1.6 Linear and time-invariant systems; 1.7 Signals through continuous LTI systems; 1.8 Signals through discrete LTI systems; 1.9 Continuous and discrete convolutions; 1.10 Homework problems; 2: Vector spaces and signal representation; 2.1 Inner product space; 2.1.1 Vector space; 2.1.2 Inner product space; 2.1.3 Bases of vector space; 2.1.4 Signal representation by orthogonal bases; 2.1.5 Signal representation by standard bases; 2.1.6 An example: the Fourier transforms; 2.2 Unitary transformation and signal representation; 2.2.1 Linear transformation. | |
| 505 | 8 | |a 2.2.2 Eigenvalue problems2.2.3 Eigenvectors of D2 as Fourier basis; 2.2.4 Unitary transformations; 2.2.5 Unitary transformations in N-D space; 2.3 Projection theorem and signal approximation; 2.3.1 Projection theorem and pseudo-inverse; 2.3.2 Signal approximation; 2.4 Frames and biorthogonal bases; 2.4.1 Frames; 2.4.2 Signal expansion by frames and Riesz bases; 2.4.3 Frames in finite-dimensional space; 2.5 Kernel function and Mercer's theorem; 2.6 Summary; 2.7 Homework problems; 3: Continuous-time Fourier transform; 3.1 The Fourier series expansion of periodic signals. | |
| 505 | 8 | |a 3.1.1 Formulation of the Fourier expansion3.1.2 Physical interpretation; 3.1.3 Properties of the Fourier series expansion; 3.1.4 The Fourier expansion of typical functions; 3.2 The Fourier transform of non-periodic signals; 3.2.1 Formulation of the CTFT; 3.2.2 Relation to the Fourier expansion; 3.2.3 Properties of the Fourier transform; 3.2.4 Fourier spectra of typical functions; 3.2.5 The uncertainty principle; 3.3 Homework problems; 4: Discrete-time Fourier transform; 4.1 Discrete-time Fourier transform; 4.1.1 Fourier transform of discrete signals; 4.1.2 Properties of the DTFT. | |
| 505 | 8 | |a 4.1.3 DTFT of typical functions4.1.4 The sampling theorem; 4.1.5 Reconstruction by interpolation; 4.2 Discrete Fourier transform; 4.2.1 Formulation of the DFT; 4.2.2 Array representation; 4.2.3 Properties of the DFT; 4.2.4 Four different forms of the Fourier transform; 4.2.5 DFT computation and fast Fourier transform; 4.3 Two-dimensional Fourier transform; 4.3.1 Two-dimensional signals and their spectra; 4.3.2 Fourier transform of typical 2-D functions; 4.3.3 Four forms of 2-D Fourier transform; 4.3.4 Computation of the 2-D DFT; 4.4 Homework problems; 5: Applications of the Fourier transforms. | |
| 500 | |a 5.1 LTI systems in time and frequency domains. | ||
| 520 | |a A systematic, unified treatment of orthogonal transform methods that guides the reader from mathematical theory to problem solving in practice. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Signal processing |x Digital techniques |x Mathematics. | |
| 650 | 0 | |a Transformations (Mathematics) | |
| 650 | 0 | |a Functions, Orthogonal. | |
| 650 | 6 | |a Traitement du signal |x Techniques numériques |x Mathématiques. | |
| 650 | 6 | |a Fonctions orthogonales. | |
| 650 | 7 | |a MATHEMATICS |x Functional Analysis. |2 bisacsh | |
| 650 | 7 | |a Functions, Orthogonal |2 fast | |
| 650 | 7 | |a Signal processing |x Digital techniques |x Mathematics |2 fast | |
| 650 | 7 | |a Transformations (Mathematics) |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Wang, Ruye. |t Introduction to Orthogonal Transforms : With Applications in Data Processing and Analysis. |d Cambridge : Cambridge University Press, ©2012 |z 9780521516884 |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=432760 |z Texto completo |
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