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Part of the book series: Springer Undergraduate Texts in Mathematics and Technology (SUMAT)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
About this book
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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Authors and Affiliations
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Universität Passau, Passau, Germany
Tomas Sauer
About the author
Bibliographic Information
Book Title: Continued Fractions and Signal Processing
Authors: Tomas Sauer
Series Title: Springer Undergraduate Texts in Mathematics and Technology
DOI: https://doi.org/10.1007/978-3-030-84360-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-84359-5Published: 07 September 2021
Softcover ISBN: 978-3-030-84362-5Published: 08 September 2022
eBook ISBN: 978-3-030-84360-1Published: 06 September 2021
Series ISSN: 1867-5506
Series E-ISSN: 1867-5514
Edition Number: 1
Number of Pages: XVII, 263
Number of Illustrations: 9 b/w illustrations, 3 illustrations in colour
Topics: Numerical Analysis, Field Theory and Polynomials, Information and Communication, Circuits, Mathematics in Music