The DFT : an owner's manual for the discrete Fourier transform
 Responsibility
 William L. Briggs, Van Emden Henson.
 Imprint
 Philadelphia : Society for Industrial and Applied Mathematics, c1995.
 Physical description
 xv, 434 p. : ill. ; 26 cm.
Course reserve
 Course
 EE26101  The Fourier Transform and Its Applications
 Instructor(s)
 Osgood, Brad G
At the library
Engineering Library (Terman)
On reserve: Ask at circulation desk
Call number  Status 

QA403.5 .B75 1995  2hour loan 
eReserve
Instructor's copy
Call number  Status 

(no call number)  Unknown 
More options
Description
Creators/Contributors
 Author/Creator
 Briggs, William L.
 Contributor
 Henson, Van Emden.
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 Preface
 1. Introduction. A Bit of History An Application Problems
 2. The Discrete Fourier Transform (DFT). Introduction DFT Approximation to the Fourier Transform The DFTIDFT pair DFT Approximations to Fourier Series Coefficients The DFT from Trigonometric Approximation Transforming a Spike Train Limiting Forms of the DFTIDFT Pair Problems
 3. Properties of the DFT. Alternate Forms for the DFT Basic Properties of the DFT Other Properties of the DFT A Few Practical Considerations Analytical DFTs Problems
 4. Symmetric DFTs. Introduction Real sequences and the Real DFT (RDFT) Even Sequences and the Discrete Cosine Transform (DST) Odd Sequences and the Discrete Sine Transform (DST) Computing Symmetric DFTs Notes Problems
 5. Multidimensional DFTs. Introduction Twodimensional DFTs Geometry of TwoDimensional Modes Computing MultiDimensional DFTs Symmetric DFTs in Two Dimensions Problems
 6. Errors in the DFT. Introduction Periodic, Bandlimited Input Periodic, Nonbandlimited Input Replication and the Poisson Summation Formula Input with Compact Support General BandLimited Functions General Input Errors in the Inverse DFT DFT Interpolation  Mean Square Error Notes and References Problems
 7. A Few Applications of the DFT. Difference Equations  Boundary Value Problems Digital Filtering of Signals FK Migration of Seismic Data Image Reconstruction from Projections Problems
 8. Related Transforms. Introduction The Laplace Transform The z Transform The Chebyshev Transform Orthogonal Polynomial Transforms The Discrete Hartley Transform (DHT) Problems
 9. Quadrature and the DFT. Introduction The DFT and the Trapezoid Rule Higher Order Quadrature Rules Problems
 10. The Fast Fourier Transform (FFT). Introduction Splitting Methods Index Expansions (One > Multidimensional) Matrix Factorizations Prime Factor and Convolution Methods FFT Performance Notes Problems Glossary of (Frequently and Consistently Used) Notations References.
 (source: Nielsen Book Data)
 Summary

Just as a prism separates white light into its component bands of colored light, so the discrete Fourier transform (DFT) is used to separate a signal into its constituent frequencies. Just as a pair of sunglasses reduces the glare of white light, permitting only the softer green light to pass, so the DFT may be used to modify a signal to achieve a desired effect. In fact, by analyzing the component frequencies of a signal or any system, the DFT can be used in an astonishing variety of problems. Among the applications of the DFT are digital signal processing, oil and gas exploration, medical imaging, aircraft and spacecraft guidance, and the solution of differential equations of physics and engineering. The DFT: An Owner's Manual for the Discrete Fourier Transform explores both the practical and theoretical aspects of the DFT, one of the most widely used tools in science and engineering.
(source: Nielsen Book Data)
Subjects
 Subject
 Fourier transformations.
Bibliographic information
 Publication date
 1995
 ISBN
 0898713420 (pbk.)
 9780898713428 (pbk.)