Verwandte Artikel zu Gabor Analysis and Algorithms: Theory and Applications...
Gabor Analysis and Algorithms: Theory and Applications (Applied and Numerical Harmonic Analysis) - Hardcover
Inhaltsangabe
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.
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
Críticas
"... a definitive survey of the subject shows connections and interactions between theory, numerical algorithms, and applications." ―Mathematical Reviews
Reseña del editor
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.
„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
Neu kaufen
Diesen Artikel anzeigen
EUR 30,77
EUR 3,40 für den Versand innerhalb von/der USA
Versandziele, Kosten & DauerWeitere beliebte Ausgaben desselben Titels
Suchergebnisse für Gabor Analysis and Algorithms: Theory and Applications...
Beispielbild für diese ISBN
Gabor Analysis and Algorithms
Anbieter: Books Puddle, New York, NY, USA
Verkäuferbewertung 4 von 5 Sternen
Zustand: New. pp. 516. Bestandsnummer des Verkäufers 26300552
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Gabor Analysis and Algorithms
Anbieter: Majestic Books, Hounslow, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. pp. 516 52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam. Bestandsnummer des Verkäufers 7547351
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Gabor Analysis and Algorithms
Anbieter: Biblios, Frankfurt am main, HESSE, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. pp. 516. Bestandsnummer des Verkäufers 18300546
Anzahl: 1 verfügbar
Foto des Verkäufers
Gabor Analysis and Algorithms Theory and Applications
Anbieter: Imaginal Books, Sardent, Frankreich
Verkäuferbewertung 5 von 5 Sternen
Hardcover. Zustand: Very Good. No Jacket. Bestandsnummer des Verkäufers 002247
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Gabor Analysis And Algorithms- Theory And Applications (applied And Numerical Harmonic Analysis)
Anbieter: Romtrade Corp., STERLING HEIGHTS, MI, USA
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. Bestandsnummer des Verkäufers ABNR-86033
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Gabor Analysis And Algorithms- Theory And Applications (applied And Numerical Harmonic Analysis)
Anbieter: Basi6 International, Irving, TX, USA
Verkäuferbewertung 5 von 5 Sternen
Zustand: Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. Bestandsnummer des Verkäufers ABEJUNE24-129940
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Gabor Analysis and Algorithms: Theory and Applications (Applied and Numerical Harmonic Analysis)
Anbieter: ALLBOOKS1, Direk, SA, Australien
Verkäuferbewertung 5 von 5 Sternen
Brand new book. Fast ship. Please provide full street address as we are not able to ship toPOboxaddress. Bestandsnummer des Verkäufers SHUB129940
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Gabor Analysis and Algorithms : Theory and Applications
Anbieter: Buchpark, Trebbin, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Zustand: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher. Bestandsnummer des Verkäufers 278964/202
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Gabor Analysis and Algorithms : Theory and Applications
Anbieter: Buchpark, Trebbin, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Zustand: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher. Bestandsnummer des Verkäufers 278964/2
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Gabor Analysis and Algorithms: Theory and Applications (Applied and Numerical Harmonic Analysis)
Anbieter: Lucky's Textbooks, Dallas, TX, USA
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. Bestandsnummer des Verkäufers ABLIING23Feb2416190237441
Anzahl: Mehr als 20 verfügbar