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Fourier Transforms : An Introduction for Engineers - Joseph W. Goodman
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Fourier Transforms : An Introduction for Engineers - edition reliée, livre de poche

1995, ISBN: 0792395859

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Fourier Transforms An Introduction for Engineers - Gray, Robert M. und Joseph W. Goodman
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Fourier Transforms An Introduction for Engineers - Goodman, Joseph W.; Gray, Robert M.
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Goodman, Joseph W.; Gray, Robert M.:
Fourier Transforms An Introduction for Engineers - edition reliée, livre de poche

1995, ISBN: 0792395859

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Détails du titre de la musique
Fourier Transforms
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ISBN:

9780792395850


The Fourier transform is one of the most important mathematical tools in a wide variety of science and engineering fields. Its application - as Fourier analysis or harmonic analysis - provides useful decompositions of signals into fundamental (`primitive') components, giving shortcuts in the computation of complicated sums and integrals, and often revealing hidden structure in the data. Fourier Transforms: An Introduction for Engineers develops the basic definitions, properties and applications of Fourier analysis, the emphasis being on techniques for its application to linear systems, although other applications are also considered. The book will serve as both a reference text and a teaching text for a one-quarter or one-semester course covering the application of Fourier analysis to a wide variety of signals, including discrete time (or parameter), continuous time (or parameter), finite duration, and infinite duration. It highlights the common aspects in all cases considered, thereby building an intuition from simple examples that will be useful in the more complicated examples where careful proofs are not included. Fourier Analysis: An Introduction for Engineers is written by two scholars who are recognized throughout the world as leaders in this area, and provides a fresh look at one of the most important mathematical and directly applicable concepts in nearly all fields of science and engineering. Audience: Engineers, especially electrical engineers. The careful treatment of the fundamental mathematical ideas makes the book suitable in all areas where Fourier analysis finds applications.

Informations détaillées sur le CD - Fourier Transforms


EAN (ISBN-13): 9780792395850
ISBN (ISBN-10): 0792395859
Version reliée
Livre de poche
Date de parution: 2007
Editeur: Springer US
384 Pages
Poids: 0,736 kg
Langue: eng/Englisch

CD dans la base de données depuis2007-10-09T16:12:21+02:00 (Paris)
Page de détail modifiée en dernier sur 2024-02-14T14:06:23+01:00 (Paris)
EAN: 9780792395850

EAN - Autres types d'écriture:
0-7923-9585-9, 978-0-7923-9585-0
Autres types d'écriture et termes associés:
Auteur du CD: robert gray, joseph goodman, kluwer, robert springer
Titre du CD: fourier transforms, introduction the fourier, introduction fourier series, international engineering

Données de l'éditeur

Auteur: Robert M. Gray; Joseph W. Goodman
Titre: The Springer International Series in Engineering and Computer Science; Fourier Transforms - An Introduction for Engineers
Editeur: Springer; Springer US
361 Pages
Date de parution: 1995-06-30
New York; NY; US
Langue: Anglais
128,39 € (DE)
131,99 € (AT)
142,00 CHF (CH)
Available
XX, 361 p.

BB; Hardcover, Softcover / Technik/Elektronik, Elektrotechnik, Nachrichtentechnik; Schaltkreise und Komponenten (Bauteile); Verstehen; Fourier analysis; correlation; harmonic analysis; signal; tables; Electronic Circuits and Systems; Signal, Speech and Image Processing; Electrical and Electronic Engineering; Elektronik; Digitale Signalverarbeitung (DSP); Elektrotechnik; BC

1 Signals and Systems.- 1.1 Waveforms and Sequences.- 1.2 Basic Signal Examples.- 1.3 Random Signals.- 1.4 Systems.- 1.5 Linear Combinations.- 1.6 Shifts.- 1.7 Two-Dimensional Signals.- 1.8 Sampling, Windowing, and Extending.- 1.9 Probability Functions.- 1.10 Problems.- 2 The Fourier Transform.- 2.1 Basic Definitions.- 2.2 Simple Examples.- 2.3 Cousins of the Fourier Transform.- 2.4 Multidimensional Transforms.- 2.5 * The DFT Approximation to the CTFT.- 2.6 The Fast Fourier Transform.- 2.7 * Existence Conditions.- 2.8 Problems.- 3 Fourier Inversion.- 3.1 Inverting the DFT.- 3.2 Discrete Time Fourier Series.- 3.3 Inverting the Infinite Duration DTFT.- 3.4 Inverting the CTFT.- 3.5 Continuous Time Fourier Series.- 3.6 Duality.- 3.7 Summary.- 3.8 * Orthonormal Bases.- 3.9 * Discrete Time Wavelet Transforms.- 3.10 * Two-Dimensional Inversion.- 3.11 Problems.- 4 Basic Properties.- 4.1 Linearity.- 4.2 Shifts.- 4.3 Modulation.- 4.4 Parseval’s Theorem.- 4.5 The Sampling Theorem.- 4.6 The DTFT of a Sampled Signal.- 4.7 * Pulse Amplitude Modulation (PAM).- 4.8 The Stretch Theorem.- 4.9 * Downsampling.- 4.10 * Upsampling.- 4.11 The Derivative and Difference Theorems.- 4.12 Moment Generating.- 4.13 Bandwidth and Pulse Width.- 4.14 Symmetry Properties.- 4.15 Problems.- 5 Generalized Transforms and Functions.- 5.1 Limiting Transforms.- 5.2 Periodic Signals and Fourier Series.- 5.3 Generalized Functions.- 5.4 Fourier Transforms of Generalized Functions.- 5.5 * Derivatives of Delta Functions.- 5.6 * The Generalized Function ?(g(t)).- 5.7 Impulse Trains.- 5.8 Problems.- 6 Convolution and Correlation.- 6.1 Linear Systems and Convolution.- 6.2 Convolution.- 6.3 Examples of Convolution.- 6.4 The Convolution Theorem.- 6.5 Fourier Analysis of Linear Systems.- 6.6 The Integral Theorem.- 6.7Sampling Revisited.- 6.8 Correlation.- 6.9 Parseval’s Theorem Revisited.- 6.10 * Bandwidth and Pulsewidth Revisited.- 6.11 * The Central Limit Theorem.- 6.12 Problems.- 7 Two Dimensional Fourier Analysis.- 7.1 Properties of 2-D Fourier Transforms.- 7.2 Two Dimensional Linear Systems.- 7.3 Reconstruction from Projections.- 7.4 The Inversion Problem.- 7.5 Examples of the Projection-Slice Theorem.- 7.6 Reconstruction.- 7.7 * Two-Dimensional Sampling Theory.- 7.8 Problems.- 8 Memoryless Nonlinearities.- 8.1 Memoryless Nonlinearities.- 8.2 Sinusoidal Inputs.- 8.3 Phase Modulation.- 8.4 Uniform Quantization.- 8.5 Problems.- A Fourier Transform Tables.

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