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Fast Fourier Transforms; Studies in Ad- 9780849371639, James S Walker, hardcover

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Características del artículo

Estado
En buen estado: Libro que se ha leído pero que está en buen estado. Daños mínimos en la tapa, ...
Book Title
Fast Fourier Transforms (Studies in Advanced Mathematics)
ISBN
9780849371639

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Product Identifiers

Publisher
CRC Press LLC
ISBN-10
0849371635
ISBN-13
9780849371639
eBay Product ID (ePID)
553482

Product Key Features

Number of Pages
464 Pages
Publication Name
Fast Fourier Transforms
Language
English
Publication Year
1996
Subject
Transformations, Applied
Type
Textbook
Subject Area
Mathematics
Author
James S. Walker
Series
Studies in Advanced Mathematics Ser.
Format
Hardcover

Dimensions

Item Height
0.9 in
Item Weight
27.3 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Edition Number
2
Intended Audience
Scholarly & Professional
LCCN
96-016852
Series Volume Number
24
Illustrated
Yes
Dewey Decimal
515/.723
Edition Description
Revised edition,New Edition
Table Of Content
Chapter 1. Basic Aspects of Fourier Series Definition of Fourier Series Examples of Fourier Series Fourier Series of Real Functions Pointwise Convergence of Fourier Series Further Aspects of Convergence of Fourier Series Fourier Sine Series and Cosine Series Convergence of Fourier Sine and Cosine Series References Exercises Chapter 2. The Discrete Fourier Transform (DFT) Derivation of the DFT Basic Properties of the DFT Relation of the DFT to Fourier Coefficients Relation of the DFT to Sampled Fourier Series Discrete Sine and Cosine Transforms References Exercises Chapter 3. The Fast Fourier Transform (FFT) Decimation in Time, Radix 2, FFT Bit Reversal Rotations in FFTs Computation of Sines and Tangents Computing Two Real FFTs Simultaneously Computing a Real FFT Fast Sine and Cosine Transforms Inversion of Discrete Sine and Cosine Transforms Inversion of the FFT of a Real Sequence References Exercises Chapter 4. Some Applications of Fourier Series Heat Equation The Wave Equation Schrödinger's Equation for a Free Particle Filters Used in Signal Processing Designing Filters Convolution and Point Spread Functions Discrete Convolutions Using FFTs Kernels for Some Common Filters Convergence of Filtered Fourier Series Further Analysis of Fourier Series Partial Sums References Exercises Chapter 5. Fourier Transforms Introduction Properties of Fourier Transforms Inversion of Fourier Transforms The Relation between Fourier Transforms and DFTs Convolution-An Introduction The Convolution Theorem An Application of Convolution in Quantum Mechanics Filtering, Frequency Detection, and Removal of Noise Poisson Summation Summation Kernels Arising from Poisson Summation The Sampling Theorem Aliasing Comparison of Three Kernels Sine and Cosine Transforms References Exercises Chapter 6. Fourier Optics Introduction - Diffraction and Coherency of Light Fresnel Diffraction Fraunhofer Diffraction Circular Apertures Interference Diffraction Gratings Spectral Analysis with Diffraction Gratings The Phase Transformation Induced by a Thin Lens Imaging with a Single Lens Imaging with Coherent Light Fourier Transforming Property of a Lens Imaging with Incoherent Light References Exercises A. User's Manual for Fourier Analysis Software B. Some Computer Programs C. The Schwarz Inequality D. Solutions to Odd-Numbered Exercises Bibliography Index
Synopsis
This new edition of an indispensable text provides a clear treatment of Fourier Series, Fourier Transforms, and FFTs. The unique software, included with the book and newly updated for this edition, allows the reader to generate, firsthand, images of all aspects of Fourier analysis described in the text. Topics covered include:, This new edition of an indispensable text provides a clear treatment of Fourier Series, Fourier Transforms, and FFTs. The unique software, included with the book and newly updated for this edition, allows the reader to generate, firsthand, images of all aspects of Fourier analysis described in the text. Topics covered include :
LC Classification Number
QA403.W33 1996

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