Frequency And Time

Author : Karlheinz Gröchenig
Publisher : Springer Science & Business Media
Page : 367 pages
File Size : 54,7 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.

Author : G. Longo,B. Picinbono
Publisher : Springer
Page : 180 pages
File Size : 51,8 Mb
Release : 2014-05-04
Category : Technology & Engineering
ISBN : 9783709126202

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Time and Frequency Representation of Signals and Systems by G. Longo,B. Picinbono Pdf

The concept of time and frequency representation of signals dates back to the first notation for music. From a mathematical viewpoint we can associate the time function to its Fourier transform. This book introduces a useful representation of signals simultaneously in time and frequency.

Author : Jeffrey A. Hogan
Publisher : Springer Science & Business Media
Page : 403 pages
File Size : 44,5 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.

Author : Franz Hlawatsch,François Auger
Publisher : John Wiley & Sons
Page : 377 pages
File Size : 51,7 Mb
Release : 2013-03-01
Category : Technology & Engineering
ISBN : 9781118623831

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Time-Frequency Analysis by Franz Hlawatsch,François Auger Pdf

Covering a period of about 25 years, during which time-frequency has undergone significant developments, this book is principally addressed to researchers and engineers interested in non-stationary signal analysis and processing. It is written by recognized experts in the field.

Author : Boualem Boashash
Publisher : Academic Press
Page : 1056 pages
File Size : 42,7 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

Author : Rene Carmona,Wen-Liang Hwang,Bruno Torresani
Publisher : Academic Press
Page : 493 pages
File Size : 51,9 Mb
Release : 1998-08-27
Category : Mathematics
ISBN : 9780080539423

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Practical Time-Frequency Analysis by Rene Carmona,Wen-Liang Hwang,Bruno Torresani Pdf

Time frequency analysis has been the object of intense research activity in the last decade. This book gives a self-contained account of methods recently introduced to analyze mathematical functions and signals simultaneously in terms of time and frequency variables. The book gives a detailed presentation of the applications of these transforms to signal processing, emphasizing the continuous transforms and their applications to signal analysis problems, including estimation, denoising, detection, and synthesis. To help the reader perform these analyses, Practical Time-Frequency Analysis provides a set of useful tools in the form of a library of S functions, downloadable from the authors' Web sites in the United States and France. Detailed presentation of the Wavelet and Gabor transforms Applications to deterministic and random signal theory Spectral analysis of nonstationary signals and processes Numerous practical examples ranging from speech analysis to underwater acoustics, earthquake engineering, internet traffic, radar signal denoising, medical data interpretation, etc Accompanying software and data sets, freely downloadable from the book's Web page

Author : Ronald L. Allen,Duncan Mills
Publisher : John Wiley & Sons
Page : 961 pages
File Size : 43,7 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

Author : Leon Cohen
Publisher : Prentice Hall
Page : 299 pages
File Size : 51,7 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.

Author : Patrick Flandrin
Publisher : Cambridge University Press
Page : 231 pages
File Size : 49,7 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.

Author : Patrick Flandrin
Publisher : Academic Press
Page : 386 pages
File Size : 42,9 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

Author : United States. National Bureau of Standards
Publisher : Unknown
Page : 24 pages
File Size : 46,9 Mb
Release : 1969
Category : Radio broadcasting
ISBN : PSU:000071919959

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NBS Frequency and Time Broadcast Services by United States. National Bureau of Standards Pdf

Author : Boualem Boashash
Publisher : Elsevier
Page : 771 pages
File Size : 41,8 Mb
Release : 2003-10-16
Category : Technology & Engineering
ISBN : 9780080543055

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Time Frequency Analysis by Boualem Boashash Pdf

Time Frequency Signal Analysis and Processing covers fundamental concepts, principles and techniques, treatment of specialised and advanced topics, methods and applications, including results of recent research. This book deals with the modern methodologies, key techniques and concepts that form the core of new technologies used in IT, multimedia, telecommunications as well as most fields of engineering, science and technology. It focuses on advanced techniques and methods that allow a refined extraction and processing of information, allowing efficient and effective decision making that would not be possible with classical techniques. The Author, fellow of IEEE for Pioneering contributions to time-frequency analysis and signal processing education, is an expert in the field, having written over 300 papers on the subject over a period pf 25 years. This is a REAL book, not a mere collection of specialised papers, making it essential reading for researchers and practitioners in the field of signal processing. *The most comprehensive text and reference book published on the subject, all the most up to date research on this subject in one place *Key computer procedures and code are provided to assist the reader with practical implementations and applications *This book brings together the main knowledge of time-frequency signal analysis and processing, (TFSAP), from theory and applications, in a user-friendly reference suitable for both experts and beginners

Author : Antonia Papandreou-Suppappola
Publisher : CRC Press
Page : 432 pages
File Size : 42,9 Mb
Release : 2018-10-03
Category : Technology & Engineering
ISBN : 9781420042467

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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.

Author : Franz Hlawatsch
Publisher : Springer Science & Business Media
Page : 225 pages
File Size : 55,5 Mb
Release : 2013-03-14
Category : Technology & Engineering
ISBN : 9781475728156

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Time-Frequency Analysis and Synthesis of Linear Signal Spaces by Franz Hlawatsch Pdf

Linear signal spaces are of fundamental importance in signal and system theory, communication theory, and modern signal processing. This book proposes a time-frequency analysis of linear signal spaces that is based on two novel time-frequency representations called the `Wigner distribution of a linear signal space' and the `ambiguity function of a linear signal space'. Besides being a useful display and analysis tool, the Wigner distribution of a linear signal space allows the design of high-resolution time-frequency filtering methods. This book develops such methods and applies them to the enhancement, decomposition, estimation, and detection of noisy deterministic and stochastic signals. Formulation of the filtering (estimation, detection) methods in the time-frequency plane yields a direct interpretation of the effect of adding or deleting information, changing parameters, etc. In a sense, the prior information and the signal processing tasks are brought to life in the time-frequency plane. The ambiguity function of a linear signal space, on the other hand, is closely related to a novel maximum-likelihood multipulse estimator of the range and Doppler shift of a slowly fluctuating point target - an estimation problem that is important in radar and sonar. Specifically, the ambiguity function of a linear signal space is relevant to the problem of optimally designing a set of radar pulses. The concepts and methods presented are amply illustrated by examples and pictures. Time-Frequency Analysis and Synthesis of Linear Signal Spaces: Time-Frequency Filters, Signal Detection and Estimation, and Range-Doppler Estimation is an excellent reference and may be used as a text for advanced courses covering the subject.

Author : Victor C. Chen,Hao Ling
Publisher : Artech House
Page : 238 pages
File Size : 43,7 Mb
Release : 2002
Category : Technology & Engineering
ISBN : 1580535496

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Time-frequency Transforms for Radar Imaging and Signal Analysis by Victor C. Chen,Hao Ling Pdf

This resource introduces a new image formation algorithm based on time-frequency-transforms, showing its advantage over the more conventional Fourier-based image formation. Referenced with over 170 equations and 80 illustrations, the book presents new algorithms that help improve the result of radar imaging and signal processing.