Gabor Analysis and Algorithms

Name: Gabor Analysis and Algorithms
Brand: Birkhauser Boston Inc
SKU: 9780817639594
Price: 63112 HUF
Availability: InStock

Theory and Applications

Szerző: Hans G. Feichtinger, Thomas Strohmer

Nyelv:

Kötés: Kemény kötésű

Kiadó: Birkhauser Boston Inc

Elérhetőség: Beszállítói készleten

Küldés 10-13 napon belül

63 112 Ft

In his paper Theory of Communication [Gab46], D. Gabor proposed the use of a family of functions obt...

Információk a könyvről

Szerző

Hans G. Feichtinger, Thomas Strohmer

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

1997

oldal

496

EAN

9780817639594

ISBN

0817639594

Enbook ID

01399163

Kiadó

Birkhauser Boston Inc

Súly

1980

Méretek

155 x 235 x 34

Teljes leírás

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.

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Gabor Analysis and Algorithms

Theory and Applications

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