Continued Fractions and Signal Processing

Continued Fractions and Signal Processing (Springer Undergraduate Texts in Mathematics and Technology)
by: Tomas Sauer
Publisher Finelybook 出版社:Springer; 1st ed. 2021 edition (September 7,2021)
Language 语言:English
pages 页数:280 pages
ISBN-10 书号:3030843599
ISBN-13 书号:9783030843595

Book Description
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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