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Author : Francis R. Pettit
Publisher :
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.:/5 (318 download)
Download or read book Fourier Transforms in Action written by Francis R. Pettit and published by . This book was released on 1985 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Brad G. Osgood
Publisher : American Mathematical Soc.
ISBN 13 : 1470441918
Total Pages : 689 pages
Book Rating : 4.4/5 (74 download)
Download or read book Lectures on the Fourier Transform and Its Applications written by Brad G. Osgood and published by American Mathematical Soc.. This book was released on 2019-01-18 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Ronald Newbold Bracewell
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (22 download)
Download or read book The Fourier Transform and Its Applications written by Ronald Newbold Bracewell and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James S. Walker
Publisher : CRC Press
ISBN 13 : 1351448870
Total Pages : 242 pages
Book Rating : 4.3/5 (514 download)
Download or read book Fast Fourier Transforms written by James S. Walker and published by CRC Press. This book was released on 2017-11-22 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
Author : Todd A. Ell
Publisher : John Wiley & Sons
ISBN 13 : 1848214782
Total Pages : 168 pages
Book Rating : 4.8/5 (482 download)
Download or read book Quaternion Fourier Transforms for Signal and Image Processing written by Todd A. Ell and published by John Wiley & Sons. This book was released on 2014-06-23 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on updates to signal and image processing technology made in the last two decades, this text examines the most recent research results pertaining to Quaternion Fourier Transforms. QFT is a central component of processing color images and complex valued signals. The book’s attention to mathematical concepts, imaging applications, and Matlab compatibility render it an irreplaceable resource for students, scientists, researchers, and engineers.
Author : Jean-Baptiste-Joseph Fourier
Publisher :
ISBN 13 :
Total Pages : 534 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Analytical Theory of Heat written by Jean-Baptiste-Joseph Fourier and published by . This book was released on 1878 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A.G. Marshall
Publisher : Elsevier
ISBN 13 : 148329384X
Total Pages : 468 pages
Book Rating : 4.4/5 (832 download)
Download or read book Fourier Transforms in NMR, Optical, and Mass Spectrometry written by A.G. Marshall and published by Elsevier. This book was released on 2016-02-25 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by spectroscopists for spectroscopists, here is a book which is not only a valuable handbook and reference work, but also an ideal teaching text for Fourier transform methods as they are applied in spectroscopy. It offers the first unified treatment of the three most popular types of FT/spectroscopy, with uniform notation and complete indexing of specialized terms. All mathematics is self-contained, and requires only a knowledge of simple calculus. The main emphasis is on pictures and physical analogs rather than detailed algebra. Instructive problems, presented at the end of each chapter, offer extensions of the basic treatment. Solutions are given or outlined for all problems. The book offers a wealth of practical information to spectroscopists. Non-ideal effects are treated in detail: noise (source- and detector-limited); non-linear response; limits to spectrometer performance based on finite detection period, finite data size, mis-phasing, etc. Common puzzles and paradoxes are explained: e.g. use of mathematically complex variables to represent physically real quantities; interpretation of negative frequency signals; on-resonance vs. off-resonance response; interpolation (when it helps and when it doesn't); ultimate accuracy of the data; differences between linearly- and circularly-polarized radiation; multiplex advantage or disadvantage, etc. Chapter 1 introduces the fundamental line shapes encountered in spectroscopy, from a simple classical mass-on-a-spring model. The Fourier transform relationship between the time-domain response to a sudden impulse and the steady-state frequency-domain response (absorption and dispersion spectra) to a continuous oscillation is established and illustrated. Chapters 2 and 3 summarize the basic mathematics (definitions, formulas, theorems, and examples) for continuous (analog) and discrete (digital) Fourier transforms, and their practical implications. Experimental aspects which are common to the signal (Chapter 4) and noise (Chapter 5) in all forms of Fourier transform spectrometry are followed by separate chapters for treatment of those features which are unique to FT/MS, FT/optical, FT/NMR, and other types of FT/spectroscopy. The list of references includes both historical and comprehensive reviews and monographs, along with articles describing several key developments. The appendices provide instant access to FT integrals and fast algorithms as well as a pictorial library of common Fourier transform function pairs. The comprehensive index is designed to enable the reader to locate particular key words, including those with more than one name.
Author : Salomon Bochner
Publisher : Princeton University Press
ISBN 13 : 9780691095783
Total Pages : 236 pages
Book Rating : 4.0/5 (957 download)
Download or read book Fourier Transforms written by Salomon Bochner and published by Princeton University Press. This book was released on 1949 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic treatment of Fourier transforms from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
Author : D. C. Champeney
Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.3/5 (91 download)
Download or read book Fourier Transforms and Their Physical Applications written by D. C. Champeney and published by . This book was released on 1973 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Reinhardt Kiehl
Publisher : Springer Science & Business Media
ISBN 13 : 3662045761
Total Pages : 382 pages
Book Rating : 4.6/5 (62 download)
Download or read book Weil Conjectures, Perverse Sheaves and l-adic Fourier Transform written by Reinhardt Kiehl and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors describe the important generalization of the original Weil conjectures, as given by P. Deligne in his fundamental paper "La conjecture de Weil II". The authors follow the important and beautiful methods of Laumon and Brylinski which lead to a simplification of Deligne's theory. Deligne's work is closely related to the sheaf theoretic theory of perverse sheaves. In this framework Deligne's results on global weights and his notion of purity of complexes obtain a satisfactory and final form. Therefore the authors include the complete theory of middle perverse sheaves. In this part, the l-adic Fourier transform is introduced as a technique providing natural and simple proofs. To round things off, there are three chapters with significant applications of these theories.
Author : Schucker Thomas
Publisher : World Scientific Publishing Company
ISBN 13 : 9813104406
Total Pages : 180 pages
Book Rating : 4.8/5 (131 download)
Download or read book Distributions, Fourier Transforms And Some Of Their Applications To Physics written by Schucker Thomas and published by World Scientific Publishing Company. This book was released on 1991-04-22 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Kalid Azad
Publisher :
ISBN 13 : 9781519711540
Total Pages : 98 pages
Book Rating : 4.7/5 (115 download)
Download or read book Math, Better Explained written by Kalid Azad and published by . This book was released on 2015-12-04 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math, Better Explained is an intuitive guide to the math fundamentals. Learn math the way your teachers always wanted.
Author : Eckhard Hitzer
Publisher : Springer Science & Business Media
ISBN 13 : 3034806035
Total Pages : 338 pages
Book Rating : 4.0/5 (348 download)
Download or read book Quaternion and Clifford Fourier Transforms and Wavelets written by Eckhard Hitzer and published by Springer Science & Business Media. This book was released on 2013-06-24 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quaternion and Clifford Fourier and wavelet transformations generalize the classical theory to higher dimensions and are becoming increasingly important in diverse areas of mathematics, physics, computer science and engineering. This edited volume presents the state of the art in these hypercomplex transformations. The Clifford algebras unify Hamilton’s quaternions with Grassmann algebra. A Clifford algebra is a complete algebra of a vector space and all its subspaces including the measurement of volumes and dihedral angles between any pair of subspaces. Quaternion and Clifford algebras permit the systematic generalization of many known concepts. This book provides comprehensive insights into current developments and applications including their performance and evaluation. Mathematically, it indicates where further investigation is required. For instance, attention is drawn to the matrix isomorphisms for hypercomplex algebras, which will help readers to see that software implementations are within our grasp. It also contributes to a growing unification of ideas and notation across the expanding field of hypercomplex transforms and wavelets. The first chapter provides a historical background and an overview of the relevant literature, and shows how the contributions that follow relate to each other and to prior work. The book will be a valuable resource for graduate students as well as for scientists and engineers.
Author : Roger Clifton Jennison
Publisher : Pergamon
ISBN 13 :
Total Pages : 140 pages
Book Rating : 4.3/5 (91 download)
Download or read book Fourier Transforms and Convolutions for the Experimentalist written by Roger Clifton Jennison and published by Pergamon. This book was released on 1961 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourier Transforms and Convolutions for the Experimentalist provides the experimentalist with a guide to the principles and practical uses of the Fourier transformation. It aims to bridge the gap between the more abstract account of a purely mathematical approach and the rule of thumb calculation and intuition of the practical worker. The monograph springs from a lecture course which the author has given in recent years and for which he has drawn upon a number of sources, including a set of notes compiled by the late Dr. I.C. Browne from a series of lectures given by Mr. J . A. Ratcliffe of t ...
Author : Roger L. Easton Jr.
Publisher : John Wiley & Sons
ISBN 13 : 1119991862
Total Pages : 1005 pages
Book Rating : 4.1/5 (199 download)
Download or read book Fourier Methods in Imaging written by Roger L. Easton Jr. and published by John Wiley & Sons. This book was released on 2010-11-18 with total page 1005 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourier Methods in Imaging introduces the mathematical tools for modeling linear imaging systems to predict the action of the system or for solving for the input. The chapters are grouped into five sections, the first introduces the imaging “tasks” (direct, inverse, and system analysis), the basic concepts of linear algebra for vectors and functions, including complex-valued vectors, and inner products of vectors and functions. The second section defines "special" functions, mathematical operations, and transformations that are useful for describing imaging systems. Among these are the Fourier transforms of 1-D and 2-D function, and the Hankel and Radon transforms. This section also considers approximations of the Fourier transform. The third and fourth sections examine the discrete Fourier transform and the description of imaging systems as linear "filters", including the inverse, matched, Wiener and Wiener-Helstrom filters. The final section examines applications of linear system models to optical imaging systems, including holography. Provides a unified mathematical description of imaging systems. Develops a consistent mathematical formalism for characterizing imaging systems. Helps the reader develop an intuitive grasp of the most common mathematical methods, useful for describing the action of general linear systems on signals of one or more spatial dimensions. Offers parallel descriptions of continuous and discrete cases. Includes many graphical and pictorial examples to illustrate the concepts. This book helps students develop an understanding of mathematical tools for describing general one- and two-dimensional linear imaging systems, and will also serve as a reference for engineers and scientists
Author : M. Rahman
Publisher : WIT Press
ISBN 13 : 1845645642
Total Pages : 193 pages
Book Rating : 4.8/5 (456 download)
Download or read book Applications of Fourier Transforms to Generalized Functions written by M. Rahman and published by WIT Press. This book was released on 2011 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Alexander Polishchuk
Publisher : Cambridge University Press
ISBN 13 : 0521808049
Total Pages : 308 pages
Book Rating : 4.5/5 (218 download)
Download or read book Abelian Varieties, Theta Functions and the Fourier Transform written by Alexander Polishchuk and published by Cambridge University Press. This book was released on 2003-04-21 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a modern treatment of the theory of theta functions in the context of algebraic geometry.
