Fourier Transforms With Applications
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Fourier Transforms And Their Physical Applications
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Author : D. C. Champeney
language : en
Publisher:
Release Date : 1973
Fourier Transforms And Their Physical Applications written by D. C. Champeney and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.
Applications Of Fourier Transforms To Generalized Functions
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Author : M. Rahman
language : en
Publisher: WIT Press
Release Date : 2011
Applications Of Fourier Transforms To Generalized Functions written by M. Rahman and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
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
A Student S Guide To Fourier Transforms
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Author : John Francis James
language : en
Publisher: Cambridge University Press
Release Date : 2002-09-19
A Student S Guide To Fourier Transforms written by John Francis James and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-19 with Mathematics categories.
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.
Fourier Transforms With Applications
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Author : Dr. Sudhanshu Aggarwal & Dr. Himanshu Pandey
language : en
Publisher: KY Publications
Release Date : 2021-09-01
Fourier Transforms With Applications written by Dr. Sudhanshu Aggarwal & Dr. Himanshu Pandey and has been published by KY Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-01 with Mathematics categories.
Fourier transform is an efficient method and a powerful tool for solving certain types of differential and integral equations. It is frequently applied for attaining the solutions to the problems of science and engineering such as image analysis, image filtering, image reconstruction, image compression, signal analyzing and circuit analysis. This transform is also effectively applied to initial and boundary value problems. This book is to explore the basic concepts of Fourier transforms in a simple, systematic and easy-to-understand manner. The present book is divided into six chapters that cover all the important topics like Fourier transform, Fourier sine transform, Fourier cosine transform, finite Fourier sine transform, finite Fourier cosine transform and application of Fourier transforms.
Fourier Transforms
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Author : Goran Nikolic
language : en
Publisher: BoD – Books on Demand
Release Date : 2017-02-08
Fourier Transforms written by Goran Nikolic and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-08 with Mathematics categories.
The main purpose of this book is to provide a modern review about recent advances in Fourier transforms as the most powerful analytical tool for high-tech application in electrical, electronic, and computer engineering, as well as Fourier transform spectral techniques with a wide range of biological, biomedical, biotechnological, pharmaceutical, and nanotechnological applications. The confluence of Fourier transform methods with high tech opens new opportunities for detection and handling of atoms and molecules using nanodevices, with potential for a large variety of scientific and technological applications.
Lectures On The Fourier Transform And Its Applications
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Author : Brad G. Osgood
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-01-18
Lectures On The Fourier Transform And Its Applications written by Brad G. Osgood and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-18 with Fourier transformations categories.
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.
Fourier Transforms
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Author : Eric W. Hansen
language : en
Publisher: John Wiley & Sons
Release Date : 2014-09-22
Fourier Transforms written by Eric W. Hansen and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-22 with Mathematics categories.
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
The Fractional Fourier Transform
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Author : Haldun M. Ozaktas
language : en
Publisher: John Wiley & Sons
Release Date : 2001-02-08
The Fractional Fourier Transform written by Haldun M. Ozaktas and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-02-08 with Mathematics categories.
The discovery of the Fractional Fourier Transform and its role in optics and data management provides an elegant mathematical framework within which to discuss diffraction and other fundamental aspects of optical systems. This book explains how the fractional Fourier transform has allowed the generalization of the Fourier transform and the notion of the frequency transform. It will serve as the standard reference on Fourier transforms for many years to come.
Application Of Optical Fourier Transforms
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Author : Henry Stark
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Application Of Optical Fourier Transforms written by Henry Stark and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
Applications of Optical Fourier Transforms is a 12-chapter text that discusses the significant achievements in Fourier optics. The opening chapters discuss the Fourier transform property of a lens, the theory and applications of complex spatial filters, and their application to signal detection, character recognition, water pollution monitoring, and other pattern recognition problems. These topics are followed by a computation of the statistical characteristics of the Fourier irradiance patterns and the hybrid systems that combine the best of optics, analog electronics, and digital computers to solve problems. The subsequent chapters examine the pulse-Doppler and chirp signals, the significance of signal-to-noise power spectrum in the information content measurement of photographic film and in image quality determinations. This text also considers the application of nonlinear systems and their components to Fourier optics. The discussions then shift to the application of Fourier methods to the study of spatial information transmission through the human visual system, as well as the application of coherent techniques to vision research. The concluding chapters deal with the well-known pattern recognition problems related to the digital signal processing community. These chapters also look into a general theoretical model of light field propagation from input to output. This book will be of value to optical scientists and vision researchers.
Distributions Fourier Transforms And Some Of Their Applications To Physics
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Author : Schucker Thomas
language : en
Publisher: World Scientific Publishing Company
Release Date : 1991-04-22
Distributions Fourier Transforms And Some Of Their Applications To Physics written by Schucker Thomas and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-04-22 with Science categories.
In this book, distributions are introduced via sequences of functions. This approach due to Temple has two virtues:The Fourier transform is defined for functions and generalized to distributions, while the Green function is defined as the outstanding application of distributions. Using Fourier transforms, the Green functions of the important linear differential equations in physics are computed. Linear algebra is reviewed with emphasis on Hilbert spaces. The author explains how linear differential operators and Fourier transforms naturally fit into this frame, a point of view that leads straight to generalized fourier transforms and systems of special functions like spherical harmonics, Hermite, Laguerre, and Bessel functions.