Continued Fractions and Signal Processing

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Sprache: Englisch

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Beschreibung

Besides their well-known value in number theory, continued fractions are also a useful tool in modern numerical applications and computer science. The goal of the book is to revisit the almost forgotten classical theory and to contextualize it for contemporary numerical applications and signal processing, thus enabling students and scientist to apply classical mathematics on recent problems. The books tries to be mostly self-contained and to make the material accessible for all interested readers. This provides a new view from an applied perspective, combining the classical recursive techniques of continued fractions with orthogonal problems, moment problems, Prony¿s problem of sparse recovery and the design of stable rational filters, which are all connected by continued fractions.

Über den Autor

Tomas Sauer holds the chair of Mathematics for Image Processing at the University of Passau. His research interests include signal and image processing, computer algebra and numerical methods for the solution of real world applied problems. He founded the Fraunhofer IIS research group "Knowledge based image processing" at the University of Passau that deals with the development of methods for handlig large scale industrial tomography data.

Zusammenfassung

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Inhaltsverzeichnis

1. ¿Continued fractions and what can be done with them.- 2. Continued fractions of real numbers.- 3. Rational functions as continued fractions of polynomials.- 4.Continued Fractions and Gauss.- 5. Continued Fractions and Prony.- 6. Digital Signal processing.- 7.Contined Fractions, Hurwitz and Stieltjes.

Details

Erscheinungsjahr:	2022
Fachbereich:	Wahrscheinlichkeitstheorie
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Seiten:	284
Reihe:	Springer Undergraduate Texts in Mathematics and Technology
Inhalt:	xvii 263 S. 9 s/w Illustr. 3 farbige Illustr. 263 p. 12 illus. 3 illus. in color.
ISBN-13:	9783030843625
ISBN-10:	3030843629
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Sauer, Tomas
Auflage:	1st ed. 2021
Hersteller:	Springer International Publishing Springer Undergraduate Texts in Mathematics and Technology
Maße:	235 x 155 x 16 mm
Von/Mit:	Tomas Sauer
Erscheinungsdatum:	08.09.2022
Gewicht:	0,435 kg

preigu-id: 123019014