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Author : Ronald Newbold Bracewell
Publisher : Unknown
Page : 128 pages
File Size : 45,8 Mb
Release : 1978
Category : Fourier transformations
ISBN : OCLC:220097501
Author : E. Oran Brigham
Publisher : Pearson
Page : 474 pages
File Size : 42,6 Mb
Release : 1988
Category : Mathematics
ISBN : UOM:39015047815561
The Fast Fourier Transform (FFT) is a mathematical method widely used in signal processing. This book focuses on the application of the FFT in a variety of areas: Biomedical engineering, mechanical analysis, analysis of stock market data, geophysical analysis, and the conventional radar communications field.
Author : Brad G. Osgood
Publisher : American Mathematical Soc.
Page : 689 pages
File Size : 54,5 Mb
Release : 2019-01-18
Category : Fourier transformations
ISBN : 9781470441913
This book is derived from lecture notes for a course on Fourier analysis for engineering and science students at the advanced undergraduate or beginning graduate level. Beyond teaching specific topics and techniques—all of which are important in many areas of engineering and science—the author's goal is to help engineering and science students cultivate more advanced mathematical know-how and increase confidence in learning and using mathematics, as well as appreciate the coherence of the subject. He promises the readers a little magic on every page. The section headings are all recognizable to mathematicians, but the arrangement and emphasis are directed toward students from other disciplines. The material also serves as a foundation for advanced courses in signal processing and imaging. There are over 200 problems, many of which are oriented to applications, and a number use standard software. An unusual feature for courses meant for engineers is a more detailed and accessible treatment of distributions and the generalized Fourier transform. There is also more coverage of higher-dimensional phenomena than is found in most books at this level.
Author : Sonali Bagchi,Sanjit K. Mitra
Publisher : Springer Science & Business Media
Page : 216 pages
File Size : 50,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461549253
The growth in the field of digital signal processing began with the simulation of continuous-time systems in the 1950s, even though the origin of the field can be traced back to 400 years when methods were developed to solve numerically problems such as interpolation and integration. During the last 40 years, there have been phenomenal advances in the theory and application of digital signal processing. In many applications, the representation of a discrete-time signal or a sys tem in the frequency domain is of interest. To this end, the discrete-time Fourier transform (DTFT) and the z-transform are often used. In the case of a discrete-time signal of finite length, the most widely used frequency-domain representation is the discrete Fourier transform (DFT) which results in a finite length sequence in the frequency domain. The DFT is simply composed of the samples of the DTFT of the sequence at equally spaced frequency points, or equivalently, the samples of its z-transform at equally spaced points on the unit circle. The DFT provides information about the spectral contents of the signal at equally spaced discrete frequency points, and thus, can be used for spectral analysis of signals. Various techniques, commonly known as the fast Fourier transform (FFT) algorithms, have been advanced for the efficient com putation of the DFT. An important tool in digital signal processing is the linear convolution of two finite-length signals, which often can be implemented very efficiently using the DFT.
Author : Ronald Newbold Bracewell
Publisher : McGraw-Hill Science, Engineering & Mathematics
Page : 648 pages
File Size : 42,7 Mb
Release : 2000
Category : Mathematics
ISBN : UCSD:31822031267685
This text is designed for use in a senior undergraduate or graduate level course in Fourier Transforms. This text differs from many other fourier transform books in its emphasis on applications. Bracewell applies mathematical concepts to the physical world throughout this text, equipping students to think about the world and physics in terms of transforms.The pedagogy in this classic text is excellent. The author has included such tools as the pictorial dictionary of transforms and bibliographic references. In addition, there are many excellent problems throughout this book, which are more than mathematical exercises, often requiring students to think in terms of specific situations or asking for educated opinions. To aid students further, discussions of many of the problems can be found at the end of the book.
Author : Valery Serov
Publisher : Springer
Page : 0 pages
File Size : 48,6 Mb
Release : 2018-08-31
Category : Mathematics
ISBN : 3319879855
This text serves as an introduction to the modern theory of analysis and differential equations with applications in mathematical physics and engineering sciences. Having outgrown from a series of half-semester courses given at University of Oulu, this book consists of four self-contained parts. The first part, Fourier Series and the Discrete Fourier Transform, is devoted to the classical one-dimensional trigonometric Fourier series with some applications to PDEs and signal processing. The second part, Fourier Transform and Distributions, is concerned with distribution theory of L. Schwartz and its applications to the Schrödinger and magnetic Schrödinger operations. The third part, Operator Theory and Integral Equations, is devoted mostly to the self-adjoint but unbounded operators in Hilbert spaces and their applications to integral equations in such spaces. The fourth and final part, Introduction to Partial Differential Equations, serves as an introduction to modern methods for classical theory of partial differential equations. Complete with nearly 250 exercises throughout, this text is intended for graduate level students and researchers in the mathematical sciences and engineering.
Author : Shinil Cho
Publisher : Morgan & Claypool Publishers
Page : 124 pages
File Size : 54,5 Mb
Release : 2018-10-04
Category : Science
ISBN : 9781643272863
This book demonstrates Microsoft EXCEL-based Fourier transform of selected physics examples. Spectral density of the auto-regression process is also described in relation to Fourier transform. Rather than offering rigorous mathematics, readers will "try and feel" Fourier transform for themselves through the examples. Readers can also acquire and analyze their own data following the step-by-step procedure explained in this book. A hands-on acoustic spectral analysis can be one of the ideal long-term student projects.
Author : Eric W. Hansen
Publisher : John Wiley & Sons
Page : 788 pages
File Size : 52,6 Mb
Release : 2014-09-22
Category : Mathematics
ISBN : 9781118479148
Fourier Transforms: Principles and Applications explains transform methods and their applications to electrical systems from circuits, antennas, and signal processors—ably guiding readers from vector space concepts through the Discrete Fourier Transform (DFT), Fourier series, and Fourier transform to other related transform methods. Featuring chapter end summaries of key results, over two hundred examples and four hundred homework problems, and a Solutions Manual this book is perfect for graduate students in signal processing and communications as well as practicing engineers. Class-tested at Dartmouth Provides the same solid background as classic texts in the field, but with an emphasis on digital and other contemporary applications to signal and image processing Modular coverage of material allows for topics to be covered by preference MATLAB files and Solutions Manual available to instructors Over 300 figures, 200 worked examples, and 432 homework problems
Author : J. F. James
Publisher : Cambridge University Press
Page : 161 pages
File Size : 49,7 Mb
Release : 2011-03-31
Category : Science
ISBN : 9781139493949
Fourier transform theory is of central importance in a vast range of applications in physical science, engineering and applied mathematics. Providing a concise introduction to the theory and practice of Fourier transforms, this book is invaluable to students of physics, electrical and electronic engineering, and computer science. After a brief description of the basic ideas and theorems, the power of the technique is illustrated through applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multi-dimensional Fourier theory is covered, including a description of Computer Axial Tomography (CAT scanning). The book concludes by discussing digital methods, with particular attention to the Fast Fourier Transform and its implementation. This new edition has been revised to include new and interesting material, such as convolution with a sinusoid, coherence, the Michelson stellar interferometer and the van Cittert–Zernike theorem, Babinet's principle and dipole arrays.
Author : M. Rahman
Publisher : WIT Press
Page : 193 pages
File Size : 51,7 Mb
Release : 2011
Category : Mathematics
ISBN : 9781845645649
The generalized function is one of the important branches of mathematics which has enormous applications in practical fields. In particular its applications to the theory of distribution and signal processing are very much essential. In this computer age, information science plays a very important role and the Fourier transform is extremely significant in deciphering obscured information to be made understandable. The book contains six chapters and three appendices. Chapter 1 deals with the preliminary remarks of Fourier series from general point of view. Chapter 2 is concerned with the generalized functions and their Fourier transforms. Chapter 3 contains the Fourier transforms of particular generalized functions. Chapter 4 deals with the asymptotic estimation of Fourier transforms. Chapter 5 is devoted to the study of Fourier series as a series of generalized functions. Chapter 6 deals with the fast Fourier transforms.Appendix A contains the extended list of Fourier transform pairs.Appendix B illustrates the properties of impulse function.Appendix C contains an extended list of biographical references
Author : Matt Christopher
Publisher : Little, Brown Books for Young Readers
Page : 151 pages
File Size : 50,7 Mb
Release : 2009-12-19
Category : Juvenile Fiction
ISBN : 9780316096010
Over one million copies sold! A baseball fan learns the true meaning of success in this beloved classic that will capture the imaginations of a new generation of young readers. Sylvester loves baseball, but he isn't exactly what you'd call a good hitter. Even though he wants nothing more than to join his neighborhood team, the Hooper Redbirds, he's sure he'll never do anything more than warm the bench. But then he meets the mysterious Mr. Baruth who promises to make Sylvester one of the best players ever. Suddenly, Sylvester goes from the worst player on the team to the kid who can only hit homers. With his overnight success, however, come tough questions. Will Sylvester ever learn the true meaning of teamwork? And what will happen when he has to learn to stand on his own? This beloved story about baseball, confidence, perseverance, and being a good teammate is a modern classic and sure to win over a new generation of young sports fans.
Author : G. B. Folland
Publisher : American Mathematical Soc.
Page : 447 pages
File Size : 50,6 Mb
Release : 2009
Category : Fourier analysis
ISBN : 9780821847909
This book presents the theory and applications of Fourier series and integrals, eigenfunction expansions, and related topics, on a level suitable for advanced undergraduates. It includes material on Bessel functions, orthogonal polynomials, and Laplace transforms, and it concludes with chapters on generalized functions and Green's functions for ordinary and partial differential equations. The book deals almost exclusively with aspects of these subjects that are useful in physics and engineering, and includes a wide variety of applications. On the theoretical side, it uses ideas from modern analysis to develop the concepts and reasoning behind the techniques without getting bogged down in the technicalities of rigorous proofs.
Author : Robert White
Publisher : CRC Press
Page : 341 pages
File Size : 50,6 Mb
Release : 2020-08-11
Category : Science
ISBN : 9781000104257
This book is intended to serve as an up-to-date reference source for those familiar with chromatography/Fourier transform infrared spectroscopy (FT-IR) methods and as an introduction to techniques and applications for those interested in future uses for chromatography/FT-IR.
Author : Eleanor Chu
Publisher : CRC Press
Page : 423 pages
File Size : 54,8 Mb
Release : 2008-03-19
Category : Mathematics
ISBN : 9781420063646
Long employed in electrical engineering, the discrete Fourier transform (DFT) is now applied in a range of fields through the use of digital computers and fast Fourier transform (FFT) algorithms. But to correctly interpret DFT results, it is essential to understand the core and tools of Fourier analysis. Discrete and Continuous Fourier Transform
Author : John Francis James
Publisher : Cambridge University Press
Page : 156 pages
File Size : 43,7 Mb
Release : 2002-09-19
Category : Mathematics
ISBN : 0521004284
Fourier transform theory is of central importance in a vast range of applications in physical science, engineering, and applied mathematics. This new edition of a successful student text provides a concise introduction to the theory and practice of Fourier transforms, using qualitative arguments wherever possible and avoiding unnecessary mathematics. After a brief description of the basic ideas and theorems, the power of the technique is then illustrated by referring to particular applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multi-dimensional Fourier theory is covered, including a description of computer-aided tomography (CAT-scanning). The final chapter discusses digital methods, with particular attention to the fast Fourier transform. Throughout, discussion of these applications is reinforced by the inclusion of worked examples. The book assumes no previous knowledge of the subject, and will be invaluable to students of physics, electrical and electronic engineering, and computer science.
