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Преобразование Фурье

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Springer, 1985. — 229 p. Die in der ersten Auflage gewählte Gliederung des Stoffes ist weitgehend beibehalten worden. Alle Kapitel wurden überarbeitet, wobei insbesondere das vierte und das sechste Kapitel wesentliche Erweiterungen erfahren haben. Ein neuer Abschnitt im vierten Kapitel ist den Faltungsalgorithmen zur schnellen Fourier-Transformation gewidmet, unter denen vor allem...
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Издательство Springer, 2013, -388 pp. The continuous Fourier transform (CFT) and its discrete counterpart, the discrete Fourier transform (DFT), are probably among the most widely used mathematical tools in science and engineering. Their fields of application are so diverse and numerous that it would be practically impossible to list them exhaustively in a short paragraph. It...
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Springer, 1999. — 216. 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...
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2nd ed. — Wiley-Interscience, 2013. — 288 p. — (Wiley Series in Probability and Statistics). — ISBN: 0471889482, 9780471889489 A new, revised edition of a yet unrivaled work on frequency domain analysis Long recognized for his unique focus on frequency domain methods for the analysis of time series data as well as for his applied, easy-to-understand approach, Peter Bloomfield...
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John Wiley, 2000. — 285 p. — ISBN-10: 0471889482, ISBN-13: 978-0471889489. There are two groups of users of an applied book on time series analysis such as this. The first consists of students (undergraduate or graduate) who encounter a course on time series methods in their study of statistics or its allied fields. The second consists of workers in the many fields in which...
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ARTECH HOUSE, INC. , 2003. — 213 p. — ISBN-10: 1608071979, ISBN-13: 978-1608071975. Preface The basic material for this book has been accumulated from time to time over the author’s working lifetime of about 40 years. The rules-and-pairs approach to Fourier transforms has been employed with good effect in a wide variety of problems, from pulse Doppler radar spectra to delay...
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Artech House, 2003. — 212 p. Fourier Transformation in Radar and Signal Processing. - (Artech House radar library). Signal processsing - Mathmatics. Radar - Mathermatics. Fourier transformation.
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Society for Industrial and Applied Mathematics, 1995. — 453 p. — ISBN-10: 0898713420, ISBN-13: 978-0898713428. Let's begin by describing what this book is and what it is not. Fourier analysis is the study of how functions defined on a continuum (that is, at all points of an interval) can be represented and analyzed in terms of periodic functions like sines and cosines. While...
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Prentice-Hall, Inc., 1988. XVI, 448 p. — ISBN 0-13-307505-2. 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.
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Prentice-Hall, Inc., 1988. XVI, 448 p. — ISBN 0-13-307505-2. 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.
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Rice University, 2008, -254 pp. This book focuses on the discrete Fourier transform (DFT), discrete convolution, and, particularly, the fast algorithms to calculate them. These topics have been at the center of digital signal processing since its beginning, and new results in hardware, theory and applications continue to keep them important and exciting. As far as we can tell,...
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ISTE/John Wiley, 2017. — 256 p. This book is presented as a collection of exercises and their solutions that aim to help undergraduate and postgraduate students studying signal processing. The exercises are originally from a book by B.P. Lathi entitled Signals, Systems and Communications , published by John Wiley. In this book, we concern ourselves only with questions surrounding...
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Wiley ISTE, 2017. — 266 p. — ISBN 10 1786301091. — ISBN 13 978-1786301093. This book aims to learn to use the basic concepts in signal processing. Each chapter is a reminder of the basic principles is presented followed by a series of corrected exercises. After resolution of these exercises, the reader can pretend to know those principles that are the basis of this theme. "We...
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Academic Press, 1973. — 267 p. Fourier transforms, with the associated concepts of convolution and correlation, are being increasingly used in all branches of the physical sciences, and this book is intended both as an introduction and as a reference book for those whose work brings them into contact with the subjects, be they advanced undergraduates, postgraduates or others....
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CRC Press, 2000. — 308 p. — ISBN-10: 0849302706, ISBN-13: 978-0849302701. Подробное описание различных алгоритмов вычисления БПФ без перегруженности математическими формулами и программными кодами. The fast Fourier transform (FFT) algorithm, together with its many successful applications, represents one of the most important advancements in scientific and engineering...
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Wissenschaftsverlag, 1993. — 181. Since its discovery by Cooley and Тukey in 1965, the classical fast Fourier transform has been successfully applied to а wide range of problems in mathematics, computer science and engineering. Сооley and Тukey proved that the discrete Fourier transform (DFT) of length n can be computed with О(n log n) arithmetic operations if n is а...
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Academic Press, 2001. — 266 p. Fourier transform spectroscopy has evolved over several decades into an analytic spectroscopic method with applications throughout the physical, chemical, and biological sciences. As the instruments have become automated and computerized the user has been able to focus on the experiment and not on the operation of the instrument. However, in many...
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Springer, 1997. — 335 p. The study of wave propagation seems very remote to many engineers, even those who are involved in structural dynamics. One of the reasons for this is that the examples usually taught in school are either so simple as to be inapplicable real world problems, or so mathematically abstruse as to be intractable. This book contains an approach, spectral...
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American Mathematical Society, 2001. — 237 p. Fourier Analysis is a large branch of mathematics whose point of departure is the study of Fourier series and integrals. However, it encompasses a variety of perspectives and techniques, and so many different introductions with that title are possible. The goal of this book is to study the real variable methods introduced into Fourier...
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N.-Y.: Wiley-ISTE, 2014. - 160p. 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...
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John Wiley, 1978. — 569 p. Since the introduction of the laser in 1960, the application of communication theory to the analysis and synthesis of optical systems has become extremely popular. Central to the theory of communication is that part of mathematics developed by Jacques Fourier, who first undertook a systematic study of the series and integral expansions that now bear his...
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John Wiley, 1978. — 569 p. Since the introduction of the laser in 1960, the application of communication theory to the analysis and synthesis of optical systems has become extremely popular. Central to the theory of communication is that part of mathematics developed by Jacques Fourier, who first undertook a systematic study of the series and integral expansions that now bear his...
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CRC Press, 2009. - 354 pages. ISBN: 1439801371 Based on the authors’ research in Fourier analysis, Brief Notes in Advanced DSP: Fourier Analysis with MATLAB® addresses many concepts and applications of digital signal processing (DSP). The included MATLAB® codes illustrate how to apply the ideas in practice. The book begins with the basic concept of the discrete Fourier...
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John Wiley & Sons, Inc., Hoboken, New Jersey, 2014. XV, 756 p. — ISBN: 978-1-118-47914-8. 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...
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Издательство Springer, 2015, -185 pp. Fourier analysis is one method of investigating the origin of functions and their properties by using Fourier series and Fourier transform(s). The Fourier series and Fourier transforms were introduced by the mathematician Jean Baptiste Joseph Fourier at the beginning of the nineteenth century; they are widely applied in the engineering and...
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Издательство Springer, 2015, -210 pp. Fourier analysis is one method of investigating the origin of functions and their properties by using Fourier series and Fourier transform(s). The Fourier series and Fourier transforms were introduced by the mathematician Jean Baptiste Joseph Fourier at the beginning of the nineteenth century; they are widely applied in the engineering and...
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Cambridge University Press, 1988. — 591 p. The author has provided a shop window for some of the ideas, techniques and elegant results of Fourier analysis, and for their applications. These range from number theory, numerical analysis, control theory and statistics, to earth science, astronomy, and electrical engineering. Each application is placed in perspective with a short...
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Birkhauser, 2009. — 166 p. Fourier analysis has been the inspiration for a technological wave of advances in fields such as imaging processing, financial modeling, cryptography, algorithms, and sequence design. This self-contained book provides a thorough look at the Fourier transform, one of the most useful tools in applied mathematics. With countless examples and unique exercise...
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Издательство John Wiley, 2004, — 239 p. Making use of the inherent helix in the Fourier transform expression, this book illustrates both Fourier transforms and their properties in the round. The author draws on elementary complex algebra to manipulate the transforms, presenting the ideas in such a way as to avoid pages of complicated mathematics. Similarly, abbreviations are...
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Springer, 2012. — 171 s. Die diskrete Fourier-Transformation (DFT – Discrete Fourier Transform) stellt eines der wichtigsten Werkzeuge der digitalen Signalverarbeitung und der Signaltheorie dar. Sie erlaubt die Analyse und Synthese von Signalen und Systemen durch Transformation diskreter Signalfolgen in den Bildbereich, den so genannten Spektralbereich. Wichtig fur die Verwendung...
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Издательство InTech, 2012, -538 pp. This book provides a broad treatment of the principles and theory of Fourier Transform Infrared Spectroscopy (FTIR) as it is used in the physical, chemical, mathematical, biological sciences, as well as in medicine and technology. It is written at a scientific- technical level, with mathematics used to augment, rather than replace, clear...
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Издательство InTech, 2012. — 538 p. Today, new analytical strategies and techniques are necessary to meet requirements of modern technologies and new materials. Among them, Fourier transform infrared spectroscopy (FTIR) has grown to be a front-line tool throughout a many discovery. In this sense, this book provides a thorough review of current analytical approaches, industry...
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InTech, 2017. — 257 p. 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...
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Springer, 1990. — 261 p. This book presents a collection of integrals of the sine-, cosine- and exponential Fourier transforms of functions f(x). It is the second, considerably enlarged version of the author's previous publication "Tabellen zur Fourier Transformation" (Springer-Verlag 1957). In addition to numerous new results in Parts I-III, a new Part IV has been introduced...
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American Mathematical Society, 1934. — 184 p. With the aid of Fourier-Mellin transforms as a tool in analysis, the authors were able to attack such diverse analytic questions as those of quasi-analytic functions, Mercer's theorem on summability, Milne's integral equation of radiative equilibrium, the theorems of Munz and Szasz concerning the closure of sets of powers of an...
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Springer-Verlag, 1999. — 377 p. — (Graduate Texts in Mathematics 186). — ISBN 0387984364. A modern approach to number theory through a blending of complementary algebraic and analytic perspectives, emphasising harmonic analysis on topological groups. The main goal is to cover John Tates visionary thesis, giving virtually all of the necessary analytic details and topological...
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Springer-Verlag, 1999. — 377 p. — (Graduate Texts in Mathematics 186). — ISBN 0387984364. A modern approach to number theory through a blending of complementary algebraic and analytic perspectives, emphasising harmonic analysis on topological groups. The main goal is to cover John Tates visionary thesis, giving virtually all of the necessary analytic details and topological...
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Издательство Springer, 2010, -443 pp. This book presents an introduction to the principles of the fast Fourier transform (FFT). It covers FFTs, frequency domain filtering, and applications to video and audio signal processing. As fields like communications, speech and image processing, and related areas are rapidly developing, the FFT as one of the essential parts in digital...
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InTech, 2012, 354 pages, ISBN: 9535104537 9789535104537. This book focuses on the Fourier transform applications in signal processing techniques. The book chapters are related to DFT, FFT, OFDM, estimation techniques and the image processing techqniques. This book provides the background, references and the incentive to encourage further research and results in this area as well...
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InTeO, 2012. - 310 pages. The book focuses on Fourier transform applications in electromagnetic field and microwave, medical applications, error control coding, methods for option pricing, and Helbert transform application. This book will provide the background, reference and incentive to encourage further research and results in these fields as well as provide tools for...
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The Society of Photo-Optical Instrumentation Engineers, 2004. – 135 p. – ISBN: 0819451649. Many applications today require the Fourier-transform (FT) spectrometer to perform close to its limitations, one of the objectives of this book is to help the user identify the instrument's bottleneck Contents Spectroscopy Instrumentation Signal-to-Noise Ratio Principles of...
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Wiley, 1995. — 468 p. FFTs are at the heart of ADSL, the new telecom standard (T1.413), which allows phones to transfer digital data 200 times faster and simultaneously transmit speech. Fast Fourier Transforms (FFTs) synthesize, recognize, enhance, compress, modify, or analyze signals in products such as Doppler weather radar, CT and MRI scans, AWACS radar, and satellite...
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Routledge & Kegan Paul Ltd, 1969. — 76 p. This book is intended primarily for students of engineering and science who wish to acquire a working knowledge of Fourier series. No attempt is made to develop the theory of Fourier series under wide conditions on the function being represented. The proof of Fourier's fundamental theorem, which is given in Chapter 2, is valid only for a...
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Издательство John Wiley, 2005, -263 pp. We believe that the group-theoretic approach to spectral techniques and, in particular, Fourier analysis, has many advantages, for instance, the possibility for a unified treatment of various seemingly unrelated classes of signals. This approach allows to extend the powerful methods of classical Fourier analysis to signals that are...
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Academic Press, 1982. — 553 p. Several years ago I was attending an image processing conference near Monterey and, being in the enviable position of not having to give a paper, I could both concentrate on what was being said and enjoy the magnificent Monterey scenery without feeling the trace of anxiety that normally goes with giving a paper. In those days there was quite a...
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Издательство World Scientific Publishing, 2001, -392 pp. Fourier transform is one of the most widely used transforms for the analysis and design of signals and systems in several fields of science and engineering. The primary objective of writing this book is to present the discrete Fourier transform theory, practically efficient algorithms, and basic applications using a...
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Издательство World Scientific Publishing, 2001, -392 pp. Fourier transform is one of the most widely used transforms for the analysis and design of signals and systems in several fields of science and engineering. The primary objective of writing this book is to present the discrete Fourier transform theory, practically efficient algorithms, and basic applications using a...
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Издательство Springer, 1997, -199 pp. The Fourier transform of large multidimensional data sets is an essential computation in many scientific and engineering fields, including seismology, X-ray crystallography, radar, sonar, and medical imaging. Such fields require multidimensional arrays for complete and faithful modeling. Classically, a set of data is processed one dimension...
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Philadelpia, SIAM, 1992. - 291 p. Монография известного специалиста по вычислительной математике посвящена разработке алгоритмов быстрого преобразования Фурье (БПФ), включая реализации для ограниченной и распределённой памяти, многомерный случай, а также применениям БПФ для решения различных задач.
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SIAM, 1992. — 291. The fast Fourier transform (FFT) is one of the truly great computational developments of this century. It has changed the face of science and engineering so much so that it is not an exaggeration to say that life as we know it would be very different without the FFT. Unfortunately, the simplicity and intrinsic beauty of many FFT ideas are buried in research...
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Academic Press, 1999. — 321 p. This book is intended to serve both as a textbook and as a reference book. As a textbook it would be best suited for a graduate level course. In fact the book grew out of class notes written for a full year graduate course in radiation and scattering taught at The Catholic University of America. The reader need not have a background in acoustics,...
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Birkhäuser, 2011. — 186 pp. Fourier analysis is a prototype of beautiful mathematics with many-faceted applications not only in mathematics, but also in science and engineering. Since the work on heat ow of Jean Baptiste Joseph Fourier (March 21, 1768 - May 16, 1830) in the treatise entitled Théorie Analytique de la Chaleur", Fourier series and Fourier transforms have gone from...
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Учебное пособие. — М.: МФТИ, 2007. — 120 с. — ISBN 978-5-7417-0239-0. Учебное пособие создано на основе многолетнего опыта чтения курса лекций «Цифровая обработка сигналов» для студентов Московского физико-технического института по специальности «Прикладные математика и физика». Изучаются методы цифрового спектрального анализа, основанные на использовании дискретного...
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Учебное пособие. — М.: МФТИ, 2007. — 122 с. — ISBN 978-5-7417-0239-0. Учебное пособие создано на основе многолетнего опыта чтения курса лекций «Цифровая обработка сигналов» для студентов Московского физико-технического института по специальности «Прикладные математика и физика». Изучаются методы цифрового спектрального анализа, основанные на использовании дискретного...
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