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 revisited in this book to contextualize them for contemporary numerical applications and signal processing, making them accessible to all interested readers. It combines classical recursive techniques with orthogonal problems, moment problems, Pronys problem of sparse recovery, and the design of stable rational filters.
Format: Paperback / softback
Length: 263 pages
Publication date: 08 September 2022
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: 438g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030843625
Edition number: 1st ed. 2021
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