Continued fractions and signal processing

Continued fractions and signal processing

by Sauer, Tomas

Type Book
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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 reade…

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Title Statements

  • Full title :Continued fractions and signal processing / Tomas Sauer.

Summary

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, Pronys problem of sparse recovery and the design of stable rational filters, which are all connected by continued fractions.

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Edition Statements

  • Publication Date:2021

Publication Statements

  • Publisher(s):Springer
  • Place of Publication:Cham, Switzerland
  • Language:eng
  • Publication Date:2021

The Physical Object

  • Description:xvii, 263 pages : 24 cm.

Edition Identifiers

  • ISBN:9783030843595, 3030843599
  • oclc:on1284829773
  • LC Classification:QA295
  • Dewey Decimal:515/.243

Table of Contents

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.

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Subjects

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