Time Frequency And Time Scale Methods

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Time‒Frequency and Time‒Scale Methods

Author : Jeffrey A. Hogan
Publisher : Springer Science & Business Media
Page : 403 pages
File Size : 48,7 Mb
Release : 2007-12-21
Category : Mathematics
ISBN : 9780817644314

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Time‒Frequency and Time‒Scale Methods by Jeffrey A. Hogan Pdf

Developed in this book are several deep connections between time-frequency (Fourier/Gabor) analysis and time-scale (wavelet) analysis, emphasizing the powerful adaptive methods that emerge when separate techniques from each area are properly assembled in a larger context. While researchers at the forefront of these areas are well aware of the benefits of such a unified approach, there remains a knowledge gap in the larger community of practitioners about the precise strengths and limitations of Fourier/Gabor analysis versus wavelets. This book fills that gap by presenting the interface of time-frequency and time-scale methods as a rich area of work. "Foundations of Time-Frequency and Time-Scale Methods" will be suitable for applied mathematicians and engineers in signal/image processing and communication theory, as well as researchers and students in mathematical analysis, signal analysis, and mathematical physics.

Time-Frequency/Time-Scale Analysis

Author : Patrick Flandrin
Publisher : Academic Press
Page : 386 pages
File Size : 40,7 Mb
Release : 1998-09-29
Category : Mathematics
ISBN : 0080543030

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Time-Frequency/Time-Scale Analysis by Patrick Flandrin Pdf

This highly acclaimed work has so far been available only in French. It is a detailed survey of a variety of techniques for time-frequency/time-scale analysis (the essence of "Wavelet Analysis"). This book has broad and comprehensive coverage of a topic of keen interest to a variety of engineers, especially those concerned with signal and image processing. Flandrin provides a discussion of numerous issues and problems that arise from a mixed description in time and frequency, as well as problems in interpretation inherent in signal theory. Detailed coverage of both linear and quadratic solutions Various techniques for both random and deterministic signals

Time-frequency and Time-scale Methods

Author : Jeffrey A. Hogan,Joseph D. Lakey
Publisher : Unknown
Page : 388 pages
File Size : 53,8 Mb
Release : 2005-01-01
Category : Time-series analysis
ISBN : 3764342765

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Time-frequency and Time-scale Methods by Jeffrey A. Hogan,Joseph D. Lakey Pdf

Developed in this book are several deep connections between time--frequency (Fourier/Gabor) analysis and time--scale (wavelet) analysis, emphasizing the powerful adaptive methods that emerge when separate techniques from each area are properly assembled in a larger context.

Foundations of Time-Frequency Analysis

Author : Karlheinz Gröchenig
Publisher : Springer Science & Business Media
Page : 367 pages
File Size : 48,5 Mb
Release : 2013-12-01
Category : Technology & Engineering
ISBN : 9781461200031

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Foundations of Time-Frequency Analysis by Karlheinz Gröchenig Pdf

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.

Signal Analysis

Author : Ronald L. Allen,Duncan Mills
Publisher : John Wiley & Sons
Page : 961 pages
File Size : 50,8 Mb
Release : 2004-06-07
Category : Technology & Engineering
ISBN : 9780471660361

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Signal Analysis by Ronald L. Allen,Duncan Mills Pdf

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

Applications in Time-Frequency Signal Processing

Author : Antonia Papandreou-Suppappola
Publisher : CRC Press
Page : 334 pages
File Size : 47,8 Mb
Release : 2018-10-03
Category : Technology & Engineering
ISBN : 9781351835909

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Applications in Time-Frequency Signal Processing by Antonia Papandreou-Suppappola Pdf

Because most real-world signals, including speech, sonar, communication, and biological signals, are non-stationary, traditional signal analysis tools such as Fourier transforms are of limited use because they do not provide easily accessible information about the localization of a given frequency component. A more suitable approach for those studying non-stationary signals is the use of time frequency representations that are functions of both time and frequency. Applications in Time-Frequency Signal Processing investigates the use of various time-frequency representations, such as the Wigner distribution and the spectrogram, in diverse application areas. Other books tend to focus on theoretical development. This book differs by highlighting particular applications of time-frequency representations and demonstrating how to use them. It also provides pseudo-code of the computational algorithms for these representations so that you can apply them to your own specific problems. Written by leaders in the field, this book offers the opportunity to learn from experts. Time-Frequency Representation (TFR) algorithms are simplified, enabling you to understand the complex theories behind TFRs and easily implement them. The numerous examples and figures, review of concepts, and extensive references allow for easy learning and application of the various time-frequency representations.

Time-frequency Analysis

Author : Leon Cohen
Publisher : Prentice Hall
Page : 299 pages
File Size : 53,6 Mb
Release : 1995
Category : Technology & Engineering
ISBN : 0135945321

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Time-frequency Analysis by Leon Cohen Pdf

Featuring traditional coverage as well as new research results that, until now, have been scattered throughout the professional literature, this book brings together—in simple language—the basic ideas and methods that have been developed to study natural and man-made signals whose frequency content changes with time—e.g., speech, sonar and radar, optical images, mechanical vibrations, acoustic signals, biological/biomedical and geophysical signals. Covers time analysis, frequency analysis, and scale analysis; time-bandwidth relations; instantaneous frequency; densities and local quantities; the short time Fourier Transform; time-frequency analysis; the Wigner representation; time-frequency representations; computation methods; the synthesis problem; spatial-spatial/frequency representations; time-scale representations; operators; general joint representations; stochastic signals; and higher order time-frequency distributions. Illustrates each concept with examples and shows how the methods have been extended to other variables, such as scale. For engineers, acoustic scientists, medical scientists and developers, mathematicians, physicists, and mangers working in the fields of acoustics, sonar, radar, image processing, biomedical devices, communication.

Explorations in Time-Frequency Analysis

Author : Patrick Flandrin
Publisher : Cambridge University Press
Page : 231 pages
File Size : 40,9 Mb
Release : 2018-09-06
Category : Mathematics
ISBN : 9781108421027

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Explorations in Time-Frequency Analysis by Patrick Flandrin Pdf

Understand the methods of modern non-stationary signal processing with authoritative insights from a leader in the field.

Time-Frequency Signal Analysis and Processing

Author : Boualem Boashash
Publisher : Academic Press
Page : 1056 pages
File Size : 51,8 Mb
Release : 2015-12-11
Category : Computers
ISBN : 9780123985255

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Time-Frequency Signal Analysis and Processing by Boualem Boashash Pdf

Time-Frequency Signal Analysis and Processing (TFSAP) is a collection of theory, techniques and algorithms used for the analysis and processing of non-stationary signals, as found in a wide range of applications including telecommunications, radar, and biomedical engineering. This book gives the university researcher and R&D engineer insights into how to use TFSAP methods to develop and implement the engineering application systems they require. New to this edition: New sections on Efficient and Fast Algorithms; a "Getting Started" chapter enabling readers to start using the algorithms on simulated and real examples with the TFSAP toolbox, compare the results with the ones presented in the book and then insert the algorithms in their own applications and adapt them as needed. Two new chapters and twenty three new sections, including updated references. New topics including: efficient algorithms for optimal TFDs (with source code), the enhanced spectrogram, time-frequency modelling, more mathematical foundations, the relationships between QTFDs and Wavelet Transforms, new advanced applications such as cognitive radio, watermarking, noise reduction in the time-frequency domain, algorithms for Time-Frequency Image Processing, and Time-Frequency applications in neuroscience (new chapter). A comprehensive tutorial introduction to Time-Frequency Signal Analysis and Processing (TFSAP), accessible to anyone who has taken a first course in signals Key advances in theory, methodology and algorithms, are concisely presented by some of the leading authorities on the respective topics Applications written by leading researchers showing how to use TFSAP methods

Wavelets and Signal Processing

Author : Lokenath Debnath
Publisher : Springer Science & Business Media
Page : 450 pages
File Size : 46,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461200253

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Wavelets and Signal Processing by Lokenath Debnath Pdf

Provides a digest of the current developments, open questions and unsolved problems likely to determine a new frontier for future advanced study and research in the rapidly growing areas of wavelets, wavelet transforms, signal analysis, and signal and image processing. Ideal reference work for advanced students and practitioners in wavelets, and wavelet transforms, signal processing and time-frequency signal analysis. Professionals working in electrical and computer engineering, applied mathematics, computer science, biomedical engineering, physics, optics, and fluid mechanics will also find the book a valuable resource.

Joint Time-frequency Analysis

Author : Shie Qian,Dapang Chen
Publisher : Prentice Hall
Page : 328 pages
File Size : 54,6 Mb
Release : 1996
Category : Mathematics
ISBN : STANFORD:36105018331533

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Joint Time-frequency Analysis by Shie Qian,Dapang Chen Pdf

Joint-Time Frequency (JTFA) is a new signal processing technique in which signals are analyzed in both the time domain and the frequency domain simultaneously. This book provides a practical, comprehensive introduction to this hot new signal analysis method, complete with a demo disk of National Instrument's Joint Time-Frequency Analyzer containing dozens of samples of real JFTA applications.

Wireless Communications Over Rapidly Time-Varying Channels

Author : Franz Hlawatsch,Gerald Matz
Publisher : Academic Press
Page : 456 pages
File Size : 41,9 Mb
Release : 2011-05-04
Category : Technology & Engineering
ISBN : 0080922724

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Wireless Communications Over Rapidly Time-Varying Channels by Franz Hlawatsch,Gerald Matz Pdf

As a result of higher frequencies and increased user mobility, researchers and systems designers are shifting their focus from time-invariant models to channels that vary within a block. Wireless Communications Over Rapidly Time-Varying Channels explains the latest theoretical advances and practical methods to give an understanding of rapidly time varying channels, together with performance trade-offs and potential performance gains, providing the expertise to develop future wireless systems technology. As well as an overview of the issues of developing wireless systems using time-varying channels, the book gives extensive coverage to methods for estimating and equalizing rapidly time-varying channels, including a discussion of training data optimization, as well as providing models and transceiver methods for time-varying ultra-wideband channels. An introduction to time-varying channel models gives in a nutshell the important issues of developing wireless systems technology using time-varying channels Extensive coverage of methods for estimating and equalizing rapidly time-varying channels, including a discussion of training data optimization, enables development of high performance wireless systems Chapters on transceiver design for OFDM and receiver algorithms for MIMO communication channels over time-varying channels, with an emphasis on modern iterative turbo-style architectures, demonstrates how these important technologies can optimize future wireless systems

Advanced Control Engineering Methods in Electrical Engineering Systems

Author : Mohammed Chadli,Sofiane Bououden,Salim Ziani,Ivan Zelinka
Publisher : Springer
Page : 576 pages
File Size : 49,8 Mb
Release : 2018-09-10
Category : Technology & Engineering
ISBN : 9783319978161

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Advanced Control Engineering Methods in Electrical Engineering Systems by Mohammed Chadli,Sofiane Bououden,Salim Ziani,Ivan Zelinka Pdf

This book presents the proceedings of the Third International Conference on Electrical Engineering and Control (ICEECA2017). It covers new control system models and troubleshooting tips, and also addresses complex system requirements, such as increased speed, precision and remote capabilities, bridging the gap between the complex, math-heavy controls theory taught in formal courses, and the efficient implementation required in real-world industry settings. Further, it considers both the engineering aspects of signal processing and the practical issues in the broad field of information transmission and novel technologies for communication networks and modern antenna design. This book is intended for researchers, engineers, and advanced postgraduate students in control and electrical engineering, computer science, signal processing, as well as mechanical and chemical engineering.

Wavelets

Author : Jean-Michel Combes,Alexander Grossmann,Philippe Tchamitchian
Publisher : Springer Science & Business Media
Page : 337 pages
File Size : 55,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642759888

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Wavelets by Jean-Michel Combes,Alexander Grossmann,Philippe Tchamitchian Pdf

The last two subjects mentioned in the title "Wavelets, Time Frequency Methods and Phase Space" are so well established that they do not need any explanations. The first is related to them, but a short introduction is appropriate since the concept of wavelets emerged fairly recently. Roughly speaking, a wavelet decomposition is an expansion of an arbitrary function into smooth localized contributions labeled by a scale and a position pa rameter. Many of the ideas and techniques related to such expansions have existed for a long time and are widely used in mathematical analysis, theoretical physics and engineering. However, the rate of progress increased significantly when it was realized that these ideas could give rise to straightforward calculational methods applicable to different fields. The interdisciplinary structure (R.C.P. "Ondelettes") of the C.N.R.S. and help from the Societe Nationale Elf-Aquitaine greatly fostered these developments. The conference, the proceedings of which are contained in this volume, was held at the Centre National de Rencontres Mathematiques (C.N.R.M) in Marseille from December 14-18, 1987 and bought together an interdisciplinary mix of par ticipants. We hope that these proceedings will convey to the reader some of the excitement and flavor of the meeting.

Landscapes of Time-Frequency Analysis

Author : Paolo Boggiatto,Tommaso Bruno,Elena Cordero,Hans G. Feichtinger,Fabio Nicola,Alessandro Oliaro,Anita Tabacco,Maria Vallarino
Publisher : Springer Nature
Page : 208 pages
File Size : 41,5 Mb
Release : 2020-11-21
Category : Mathematics
ISBN : 9783030560058

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Landscapes of Time-Frequency Analysis by Paolo Boggiatto,Tommaso Bruno,Elena Cordero,Hans G. Feichtinger,Fabio Nicola,Alessandro Oliaro,Anita Tabacco,Maria Vallarino Pdf

This contributed volume features chapters based on talks given at the second international conference titled Aspects of Time-Frequency Analysis (ATFA 19), held at Politecnico di Torino from June 25th to June 27th, 2019. Written by experts in harmonic analysis and its applications, these chapters provide a valuable overview of the state-of-the-art of this active area of research. New results are collected as well, making this a valuable resource for readers seeking to be brought up-to-date. Topics covered include: Signal analysis Quantum theory Modulation space theory Applications to the medical industry Wavelet transform theory Anti-Wick operators Landscapes of Time-Frequency Analysis: ATFA 2019 will be of particular interest to researchers and advanced students working in time-frequency analysis and other related areas of harmonic analysis.