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Tomas Sauer

Continued Fractions and Signal Processing

Continued Fractions and Signal Processing

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  • More about Continued Fractions and Signal Processing


Continued fractions are valuable in modern numerical applications and computer science, and the book aims to revisit and contextualize this classical theory for contemporary use. It combines classical recursive techniques with orthogonal problems, moment problems, Pronys problem of sparse recovery, and the design of stable rational filters, providing a new view from an applied perspective.

Format: Hardback
Length: 263 pages
Publication date: 07 September 2021
Publisher: Springer Nature Switzerland AG


In addition to their renowned significance in number theory, continued fractions hold immense value in modern numerical applications and computer science. The primary objective of this book is to reexamine the nearly forgotten classical theory of continued fractions, while also contextualizing it for contemporary numerical applications and signal processing. By doing so, it aims to empower students and scientists to apply classical mathematics to address modern problems. The book strives to be mostly self-contained, making the material accessible to all interested readers. This unique approach offers a fresh perspective, blending classical recursive techniques of continued fractions with orthogonal problems, moment problems, Prony's problem of sparse recovery, and the design of stable rational filters, all of which are interconnected through continued fractions.

In addition to their renowned significance in number theory, continued fractions hold immense value in modern numerical applications and computer science. The primary objective of this book is to reexamine the nearly forgotten classical theory of continued fractions, while also contextualizing it for contemporary numerical applications and signal processing. By doing so, it aims to empower students and scientists to apply classical mathematics to address modern problems. The book strives to be mostly self-contained, making the material accessible to all interested readers. This unique approach offers a fresh perspective, blending classical recursive techniques of continued fractions with orthogonal problems, moment problems, Prony's problem of sparse recovery, and the design of stable rational filters, all of which are interconnected through continued fractions.

Weight: 594g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030843595
Edition number: 1st ed. 2021

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