Time Frequency Analysis of Some Generalized Fourier Transforms

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Publisher : BoD – Books on Demand
ISBN 13 : 1837684596
Total Pages : 100 pages
Book Rating : 4.8/5 (376 download)

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Book Synopsis Time Frequency Analysis of Some Generalized Fourier Transforms by : Mohammad Younus Bhat

Download or read book Time Frequency Analysis of Some Generalized Fourier Transforms written by Mohammad Younus Bhat and published by BoD – Books on Demand. This book was released on 2023-09-13 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the world of physical science, important physical quantities like sound, pressure, electrical current, voltage, and electromagnetic fields vary with time. Such quantities are labeled as signals/waveforms and include oral signals, optical signals, acoustic signals, biomedical signals, radar, and sonar. Time-frequency analysis is a vital aid in signal analysis, which is concerned with how the frequency of a function (or signal) behaves in time, and it has evolved into a widely recognized applied discipline of signal processing. This book discusses the Fourier transform (FT), which is one of the most valuable and widely used integral transforms that converts a signal from time versus amplitude to frequency versus amplitude. It is one of the oldest tools in the time-frequency analysis of signals. The book includes five chapters that discuss general Fourier transforms as well as new and novel transforms such as hybrid transforms, quadratic-phase Fourier transforms, fractional Fourier transforms, linear canonical transforms, and more.

Time-Frequency Analysis of Operators

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311053245X
Total Pages : 458 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Time-Frequency Analysis of Operators by : Elena Cordero

Download or read book Time-Frequency Analysis of Operators written by Elena Cordero and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-09-21 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authoritative text studies pseudodifferential and Fourier integral operators in the framework of time-frequency analysis, providing an elementary approach, along with applications to almost diagonalization of such operators and to the sparsity of their Gabor representations. Moreover, Gabor frames and modulation spaces are employed to study dispersive equations such as the Schrödinger, wave, and heat equations and related Strichartz problems. The first part of the book is addressed to non-experts, presenting the basics of time-frequency analysis: short time Fourier transform, Wigner distribution and other representations, function spaces and frames theory, and it can be read independently as a short text-book on this topic from graduate and under-graduate students, or scholars in other disciplines.

Foundations of Time-Frequency Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 1461200032
Total Pages : 367 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Foundations of Time-Frequency Analysis by : Karlheinz Gröchenig

Download or read book Foundations of Time-Frequency Analysis written by Karlheinz Gröchenig and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time-frequency analysis is a modern branch of harmonic analysis. It com prises all those parts of mathematics and its applications that use the struc ture of translations and modulations (or time-frequency shifts) for the anal ysis of functions and operators. Time-frequency analysis is a form of local Fourier analysis that treats time and frequency simultaneously and sym metrically. My goal is a systematic exposition of the foundations of time-frequency analysis, whence the title of the book. The topics range from the elemen tary theory of the short-time Fourier transform and classical results about the Wigner distribution via the recent theory of Gabor frames to quantita tive methods in time-frequency analysis and the theory of pseudodifferential operators. This book is motivated by applications in signal analysis and quantum mechanics, but it is not about these applications. The main ori entation is toward the detailed mathematical investigation of the rich and elegant structures underlying time-frequency analysis. Time-frequency analysis originates in the early development of quantum mechanics by H. Weyl, E. Wigner, and J. von Neumann around 1930, and in the theoretical foundation of information theory and signal analysis by D.

The Fourier Transform and Its Applications

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (22 download)

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Book Synopsis The Fourier Transform and Its Applications by : Ronald Newbold Bracewell

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:

Landscapes of Time-Frequency Analysis

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Publisher : Springer
ISBN 13 : 3030052109
Total Pages : 358 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Landscapes of Time-Frequency Analysis by : Paolo Boggiatto

Download or read book Landscapes of Time-Frequency Analysis written by Paolo Boggiatto and published by Springer. This book was released on 2019-01-30 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chapters in this volume are based on talks given at the inaugural Aspects of Time-Frequency Analysis conference held in Turin, Italy from July 5-7, 2017, which brought together experts in harmonic analysis and its applications. New connections between different but related areas were presented in the context of time-frequency analysis, encouraging future research and collaborations. Some of the topics covered include: Abstract harmonic analysis, Numerical harmonic analysis, Sampling theory, Compressed sensing, Mathematical signal processing, Pseudodifferential operators, and Applications of harmonic analysis to quantum mechanics. Landscapes of Time-Frequency Analysis will be of particular interest to researchers and advanced students working in time-frequency analysis and other related areas of harmonic analysis.

Generalized Functions and Fourier Analysis

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Publisher : Birkhäuser
ISBN 13 : 3319519115
Total Pages : 276 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Generalized Functions and Fourier Analysis by : Michael Oberguggenberger

Download or read book Generalized Functions and Fourier Analysis written by Michael Oberguggenberger and published by Birkhäuser. This book was released on 2017-05-06 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and Fourier Analysis, notably in the core disciplines of pseudodifferential operators, microlocal analysis and time-frequency analysis. The volume is a collection of chapters addressing these fields, their interaction, their unifying concepts and their applications and is based on scientific activities related to the International Association for Generalized Functions (IAGF) and the ISAAC interest groups on Pseudo-Differential Operators (IGPDO) and on Generalized Functions (IGGF), notably on the longstanding collaboration of these groups within ISAAC.

Wavelet

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Publisher : Scientific e-Resources
ISBN 13 : 1839473401
Total Pages : 300 pages
Book Rating : 4.8/5 (394 download)

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Book Synopsis Wavelet by : Carmen Hurley &

Download or read book Wavelet written by Carmen Hurley & and published by Scientific e-Resources. This book was released on 2018-11-11 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of "e;ondelettes"e; or "e;wavelets"e; started from the investigation of time-frequency signal analysis, wave engendering, and examining hypothesis. One of the principle explanations behind the disclosure of wavelets and wavelet changes is that the Fourier change analysis does not contain the neighborhood data of signals. So the Fourier change can't be utilized for examining signals in a joint time and frequency area. In 1982, Jean MorIet, in a joint effort with a gathering of French designers, first presented the possibility of wavelets as a group of capacities built by utilizing interpretation and expansion of a solitary capacity, called the mother wavelet, for the analysis of nonstationary signals. Wavelet analysis is an energizing new technique for taking care of troublesome issues in science, material science, and building, with present day applications as various as wave spread, information pressure, picture preparing, design acknowledgment, PC illustrations, the location of air ship and submarines, and change in CAT filters and other restorative picture innovation. Wavelets permit complex data, for example, music, discourse, pictures, and examples to be deteriorated into basic structures, called the central building hinders, at various positions and scales and in this manner remade with high accuracy.

Wavelet Transforms

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Publisher : CRC Press
ISBN 13 : 100077161X
Total Pages : 502 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Wavelet Transforms by : Firdous A. Shah

Download or read book Wavelet Transforms written by Firdous A. Shah and published by CRC Press. This book was released on 2022-11-28 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wavelet Transforms: Kith and Kin serves as an introduction to contemporary aspects of time-frequency analysis encompassing the theories of Fourier transforms, wavelet transforms and their respective offshoots. This book is the first of its kind totally devoted to the treatment of continuous signals and it systematically encompasses the theory of Fourier transforms, wavelet transforms, geometrical wavelet transforms and their ramifications. The authors intend to motivate and stimulate interest among mathematicians, computer scientists, engineers and physical, chemical and biological scientists. The text is written from the ground up with target readers being senior undergraduate and first-year graduate students and it can serve as a reference for professionals in mathematics, engineering and applied sciences. Features Flexibility in the book’s organization enables instructors to select chapters appropriate to courses of different lengths, emphasis and levels of difficulty Self-contained, the text provides an impetus to the contemporary developments in the signal processing aspects of wavelet theory at the forefront of research A large number of worked-out examples are included Every major concept is presented with explanations, limitations and subsequent developments, with emphasis on applications in science and engineering A wide range of exercises are incoporated in varying levels from elementary to challenging so readers may develop both manipulative skills in theory wavelets and deeper insight Answers and hints for selected exercises appear at the end The origin of the theory of wavelet transforms dates back to the 1980s as an outcome of the intriguing efforts of mathematicians, physicists and engineers. Owing to the lucid mathematical framework and versatile applicability, the theory of wavelet transforms is now a nucleus of shared aspirations and ideas.

Recent Developments in Time-Frequency Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 0792383141
Total Pages : 147 pages
Book Rating : 4.7/5 (923 download)

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Book Synopsis Recent Developments in Time-Frequency Analysis by : Leon Cohen

Download or read book Recent Developments in Time-Frequency Analysis written by Leon Cohen and published by Springer Science & Business Media. This book was released on 1998-10-31 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent Developments in Time-Frequency Analysis brings together in one place important contributions and up-to-date research results in this fast moving area. Recent Developments in Time-Frequency Analysis serves as an excellent reference, providing insight into some of the most challenging research issues in the field.

Four Short Courses on Harmonic Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 0817648909
Total Pages : 265 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Four Short Courses on Harmonic Analysis by : Brigitte Forster

Download or read book Four Short Courses on Harmonic Analysis written by Brigitte Forster and published by Springer Science & Business Media. This book was released on 2010 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by internationally renowned mathematicians, this state-of-the-art textbook examines four research directions in harmonic analysis and features some of the latest applications in the field. The work is the first one that combines spline theory, wavelets, frames, and time-frequency methods leading up to a construction of wavelets on manifolds other than Rn. Four Short Courses on Harmonic Analysis is intended as a graduate-level textbook for courses or seminars on harmonic analysis and its applications. The work is also an excellent reference or self-study guide for researchers and practitioners with diverse mathematical backgrounds working in different fields such as pure and applied mathematics, image and signal processing engineering, mathematical physics, and communication theory.

Fast Fourier Transforms

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Publisher : CRC Press
ISBN 13 : 1351448870
Total Pages : 242 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Fast Fourier Transforms by : James S. Walker

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 :

The Analytical Theory of Heat

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Publisher :
ISBN 13 :
Total Pages : 534 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Analytical Theory of Heat by : Jean-Baptiste-Joseph Fourier

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:

Signal Analysis

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Publisher : John Wiley & Sons
ISBN 13 : 0471660361
Total Pages : 961 pages
Book Rating : 4.4/5 (716 download)

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Book Synopsis Signal Analysis by : Ronald L. Allen

Download or read book Signal Analysis written by Ronald L. Allen and published by John Wiley & Sons. This book was released on 2004-06-07 with total page 961 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers a well-rounded, mathematical approach to problems in signal interpretation using the latest time, frequency, and mixed-domain methods Equally useful as a reference, an up-to-date review, a learning tool, and a resource for signal analysis techniques Provides a gradual introduction to the mathematics so that the less mathematically adept reader will not be overwhelmed with instant hard analysis Covers Hilbert spaces, complex analysis, distributions, random signals, analog Fourier transforms, and more

Fourier Transforms in Action

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Publisher :
ISBN 13 :
Total Pages : 150 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Fourier Transforms in Action by : Francis R. Pettit

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 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Continuous and Discrete Fourier Transforms, Extension Problems and Wiener-Hopf Equations

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Publisher : Birkhäuser
ISBN 13 : 3034885962
Total Pages : 223 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Continuous and Discrete Fourier Transforms, Extension Problems and Wiener-Hopf Equations by : I. Gohberg

Download or read book Continuous and Discrete Fourier Transforms, Extension Problems and Wiener-Hopf Equations written by I. Gohberg and published by Birkhäuser. This book was released on 2012-12-06 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Time-Frequency Signal Analysis with Applications

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Publisher : Artech House
ISBN 13 : 1608076520
Total Pages : 673 pages
Book Rating : 4.6/5 (8 download)

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Book Synopsis Time-Frequency Signal Analysis with Applications by : Ljubisa Stankovic

Download or read book Time-Frequency Signal Analysis with Applications written by Ljubisa Stankovic and published by Artech House. This book was released on 2014-05-10 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The culmination of more than twenty years of research, this authoritative resource provides you with a practical understanding of time-frequency signal analysis. The book offers in-depth coverage of critical concepts and principles, along with discussions on key applications in a wide range of signal processing areas, from communications and optics... to radar and biomedicine. Supported with over 140 illustrations and more than 1,700 equations, this detailed reference explores the topics you need to understand for your work in the field, such as Fourier analysis, linear time frequency representations, quadratic time-frequency distributions, higher order time-frequency representations, and analysis of non-stationary noisy signals. This unique book also serves as an excellent text for courses in this area, featuring numerous examples and problems at the end of each chapter. "

Contemporary Problems In Mathematical Physics - Proceedings Of The First International Workshop

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Publisher : World Scientific
ISBN 13 : 981454292X
Total Pages : 394 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Contemporary Problems In Mathematical Physics - Proceedings Of The First International Workshop by : Jan Govaerts

Download or read book Contemporary Problems In Mathematical Physics - Proceedings Of The First International Workshop written by Jan Govaerts and published by World Scientific. This book was released on 2000-04-05 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topics discussed include recent developments in operator theory and orthogonal polynomials, coherent states and wavelet analysis, geometric methods in theoretical physics and quantum field theory, and the application of these methods of mathematical physics to problems in atomic and molecular physics as well as the world of the elementary particles and their fundamental interactions. This volume should be of interest to anyone working in a field using the mathematical methods of any of these general topics.