John Wiley, 2000. — 285 p. — ISBN10: 0471889482, ISBN13: 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 time...
Artech House, 2003. — 212 p. Fourier Transformation in Radar and Signal Processing. - (Artech House radar library). Signal processsing - Mathmatics. Radar - Mathermatics. Fourier transformation.
Society for Industrial and Applied Mathematics, 1995. — 453 p. — ISBN10: 0898713420, ISBN13: 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 this...
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.
Englewood Cliffs, New Jersey: Prentice Hall, 1974. — xvi, 252 p. This book identifies and interprets the essential basics of the Fast Fourier Transform (FFT). It links in a unified presentation the Fourier transform, discrete Fourier transform, FFT, and fundamental applications of the FFT. The FFT is becoming a primary analytical tool in such diverse fields as linear systems,...
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....
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 power of...
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...
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...
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 not used...
2nd corrected and updated Edition.– Berlin Heidelberg New York: Springer-Veriag, 1982.– xii, 276 p. This book presents in a unified way the various fast algorithms that are used for the implementation of digital filters and the evaluation of discrete Fourier transforms. The book consists of eight chapters. The first two chapters are devoted to background information and to...
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...
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...
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...
World Scientific Publishing, 2001. — 392 p. 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 down-to-earth...
Springer, 1997. — 199 p. 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 at a time,...
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.
Учебное пособие. — Самара: Самарский университет, 2015. — 48 с. — ISBN 978-5-86465-683-9. Излагаются основы дискретного преобразования Фурье и его приложений к частотной фильтрации цифровых изображений. Теоретический материал иллюстрируется решением задач. Рассматриваются как одномерные, так и двумерные преобразования. Приведены примеры частотных фильтров и обработка...
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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