Time‒Frequency and Time‒Scale Methods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Time‒Frequency and Time‒Scale Methods write by Jeffrey A. Hogan. This book was released on 2007-12-21. Time‒Frequency and Time‒Scale Methods available in PDF, EPUB and Kindle. 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 and Time-scale Methods
Time-frequency and Time-scale Methods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Time-frequency and Time-scale Methods write by Jeffrey A. Hogan. This book was released on 2005-01-01. Time-frequency and Time-scale Methods available in PDF, EPUB and Kindle. 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.
Explorations in Time-Frequency Analysis
Explorations in Time-Frequency Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Explorations in Time-Frequency Analysis write by Patrick Flandrin. This book was released on 2018-09-06. Explorations in Time-Frequency Analysis available in PDF, EPUB and Kindle. Understand the methods of modern non-stationary signal processing with authoritative insights from a leader in the field.
Foundations of Time-Frequency Analysis
Foundations of Time-Frequency Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Foundations of Time-Frequency Analysis write by Karlheinz Gröchenig. This book was released on 2013-12-01. Foundations of Time-Frequency Analysis available in PDF, EPUB and Kindle. 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 Analysis
Time-frequency Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Time-frequency Analysis write by Leon Cohen. This book was released on 1995. Time-frequency Analysis available in PDF, EPUB and Kindle. 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.
