Name: Gabor Analysis and Algorithms: Theory and Applications (en Inglés)
Price: 480683.00 COP
Availability: InStock
Author: Feichtinger, Hans G. ; Strohmer, Thomas
ISBN: 9781461273820

portada Gabor Analysis and Algorithms: Theory and Applications (en Inglés)

Gabor Analysis and Algorithms: Theory and Applications (en Inglés)

Formato

Libro Físico

Editorial

Birkhauser

Autor

Feichtinger, Hans G. ; Strohmer, Thomas

Idioma

Inglés

N° páginas

496

Encuadernación

Tapa Blanda

Dimensiones

23.4 x 15.6 x 2.6 cm

Peso

0.72 kg.

ISBN13

9781461273820

Categorías

Matemáticas aplicadas
Ingeniería electrónica
Ingeniería de las comunicaciones/las telecomunicaciones

Gabor Analysis and Algorithms: Theory and Applications (en Inglés)

Feichtinger, Hans G. ; Strohmer, Thomas (Autor) · Birkhauser · Tapa Blanda

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Reseña del libro "Gabor Analysis and Algorithms: Theory and Applications (en Inglés)"

In his paper Theory of Communication [Gab46], D. Gabor proposed the use of a family of functions obtained from one Gaussian by time-and frequency- shifts. Each of these is well concentrated in time and frequency; together they are meant to constitute a complete collection of building blocks into which more complicated time-depending functions can be decomposed. The application to communication proposed by Gabor was to send the coeffi- cients of the decomposition into this family of a signal, rather than the signal itself. This remained a proposal-as far as I know there were no seri- ous attempts to implement it for communication purposes in practice, and in fact, at the critical time-frequency density proposed originally, there is a mathematical obstruction; as was understood later, the family of shifted and modulated Gaussians spans the space of square integrable functions [BBGK71, Per71] (it even has one function to spare [BGZ75] . . . ) but it does not constitute what we now call a frame, leading to numerical insta- bilities. The Balian-Low theorem (about which the reader can find more in some of the contributions in this book) and its extensions showed that a similar mishap occurs if the Gaussian is replaced by any other function that is "reasonably" smooth and localized. One is thus led naturally to considering a higher time-frequency density.