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Foundations of Time-Frequency Analysis

2013-12-01 Technology & Engineering
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Release : 2013-12-01
Genre : Technology & Engineering
Kind : eBook
Book Rating : 032/5 ( reviews)

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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. This book was released on 2013-12-01. 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.

Time‒Frequency and Time‒Scale Methods

2007-12-21 Mathematics
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Release : 2007-12-21
Genre : Mathematics
Kind : eBook
Book Rating : 318/5 ( reviews)

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Book Synopsis Time‒Frequency and Time‒Scale Methods by : Jeffrey A. Hogan

Download or read book Time‒Frequency and Time‒Scale Methods written by Jeffrey A. Hogan. This book was released on 2007-12-21. Available in PDF, EPUB and Kindle. Book excerpt: 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 and Frequency Representation of Signals and Systems

2014-05-04 Technology & Engineering
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Release : 2014-05-04
Genre : Technology & Engineering
Kind : eBook
Book Rating : 207/5 ( reviews)

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Book Synopsis Time and Frequency Representation of Signals and Systems by : G. Longo

Download or read book Time and Frequency Representation of Signals and Systems written by G. Longo. This book was released on 2014-05-04. Available in PDF, EPUB and Kindle. Book excerpt: 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 Signal Analysis and Processing

2015-12-11 Technology & Engineering
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Release : 2015-12-11
Genre : Technology & Engineering
Kind : eBook
Book Rating : 250/5 ( reviews)

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Book Synopsis Time-Frequency Signal Analysis and Processing by : Boualem Boashash

Download or read book Time-Frequency Signal Analysis and Processing written by Boualem Boashash. This book was released on 2015-12-11. Available in PDF, EPUB and Kindle. Book excerpt: 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

Frequency and Time

1972 Frequency standards
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Release : 1972
Genre : Frequency standards
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Frequency and Time by : B. E. Blair

Download or read book Frequency and Time written by B. E. Blair. This book was released on 1972. Available in PDF, EPUB and Kindle. Book excerpt:

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