Time-Frequency Representations

Time-Frequency Representations
Author: Richard Tolimieri
Publisher: Springer Science & Business Media
Total Pages: 346
Release: 1997-12-18
Genre: Computers
ISBN: 9780817639181

Algorithms are developed within this abstract setting without reference to coordinates or dimension, allowing the derivation of new algorithmic structures with significant importance to multidimensional problems and applications. In addition, tensor product representation is fully developed for the modeling of time-frequency computations.

Applications in Time-Frequency Signal Processing

Applications in Time-Frequency Signal Processing
Author: Antonia Papandreou-Suppappola
Publisher: CRC Press
Total Pages: 432
Release: 2018-10-03
Genre: Technology & Engineering
ISBN: 1420042467

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.

Foundations of Time-Frequency Analysis

Foundations of Time-Frequency Analysis
Author: Karlheinz Gröchenig
Publisher: Springer Science & Business Media
Total Pages: 367
Release: 2013-12-01
Genre: Technology & Engineering
ISBN: 1461200032

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.

Time and Frequency Representation of Signals and Systems

Time and Frequency Representation of Signals and Systems
Author: G. Longo
Publisher: Springer
Total Pages: 180
Release: 2014-05-04
Genre: Technology & Engineering
ISBN: 3709126207

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.

Time-Frequency Analysis

Time-Frequency Analysis
Author: Franz Hlawatsch
Publisher: John Wiley & Sons
Total Pages: 377
Release: 2013-03-01
Genre: Technology & Engineering
ISBN: 1118623835

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.

Explorations in Time-Frequency Analysis

Explorations in Time-Frequency Analysis
Author: Patrick Flandrin
Publisher: Cambridge University Press
Total Pages: 231
Release: 2018-09-06
Genre: Mathematics
ISBN: 1108421024

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

Time-frequency Analysis

Time-frequency Analysis
Author: Leon Cohen
Publisher: Prentice Hall
Total Pages: 299
Release: 1995
Genre: Technology & Engineering
ISBN: 9780135945322

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.

Signal Analysis

Signal Analysis
Author: Ronald L. Allen
Publisher: John Wiley & Sons
Total Pages: 961
Release: 2004-06-07
Genre: Technology & Engineering
ISBN: 0471660361

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

Communication, Signal Processing & Information Technology

Communication, Signal Processing & Information Technology
Author: Faouzi Derbel
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 214
Release: 2017-03-20
Genre: Technology & Engineering
ISBN: 3110436183

Communication & Signal Processing involving topics such as: Communications Theory and Techniques, Communications Protocols and Standards, Telecommunication Systems, Modulation and Signal Design, Coding Compression and Information Theory, Communication Networks, Wireless Communication, Optical Communication, Wireless Sensor Networks, MIMO Systems, MIMO Communications, Signal Processing for Communications e-Learning. Digital Signal Processing, Multiresolution Analysis, Wavelets, Smart Antennas, Adaptive Antennas, Theory and Practice of Signal Processing, Digital Signal Processing, Speech, Image, Video Signal Processing, Person Authentication, Biometry, Medical Imaging, Remote Sensing Analysis, Image Indexation, Image compression, Data Fusion and Pattern Recognition, Parallel Computing, Artificial Intelligence, Information Retrieval.