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Continued fractions and signal proce...

Sauer, Tomas.

Continued fractions and signal processing

Record Type:	Electronic resources : Monograph/item
Title/Author:	Continued fractions and signal processingby Tomas Sauer.
Author:	Sauer, Tomas.
Published:	Cham :Springer International Publishing :2021.
Description:	xvii, 263 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Continued fractions.
Online resource:	https://doi.org/10.1007/978-3-030-84360-1
ISBN:	9783030843601

Continued fractions and signal processing
Sauer, Tomas.

Continued fractions and signal processing[electronic resource] /by Tomas Sauer. - Cham :Springer International Publishing :2021. - xvii, 263 p. :ill., digital ;24 cm. - Springer undergraduate texts in mathematics and technology,1867-5514. - Springer undergraduate texts in mathematics and technology..

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.

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.

ISBN: 9783030843601

Standard No.: 10.1007/978-3-030-84360-1doiSubjects--Topical Terms:

262934
Continued fractions.

LC Class. No.: QA295

Dewey Class. No.: 515.243

Continued fractions and signal processing
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490 1 $a Springer undergraduate texts in mathematics and technology, $x 1867-5514
505 0 $a 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.
520 $a 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.
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