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Continued fractions and signal processing / Tomas Sauer.

9783030843601 (electronic bk.)
3030843602 (electronic bk.)
3030843599
9783030843595

Cham, Switzerland : Springer, 2021.

English

1 online resource

10.1007/978-3-030-84360-1 doi

QA295

515/.243

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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Online resource; title from PDF title page (SpringerLink, viewed September 22, 2021).

Springer undergraduate texts in mathematics and technology.

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