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Continued Fractions and Signal Processing

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Continued Fractions and Signal Processing Synopsis

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.

About This Edition

ISBN: 9783030843625
Publication date:
Author: Tomas Sauer
Publisher: Springer Nature Switzerland AG
Format: Paperback
Pagination: 263 pages
Series: Springer Undergraduate Texts in Mathematics and Technology
Genres: Numerical analysis
Algebra
Applied mathematics
Theory of music and musicology

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