Continued Fractions and Signal Processing (Springer Undergraduate Texts in Mathematics and Technology) - Softcover

Sauer, Tomas

Softcover

ISBN 10: 3030843629 ISBN 13: 9783030843625

Publisher: Springer, 2022

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 title

About the Author

Tomas Sauer holds the chair of Mathematics for Image Processing at the University of Passau. His research interests include signal and image processing, computer algebra and numerical methods for the solution of real world applied problems. He founded the Fraunhofer IIS research group “Knowledge based image processing” at the University of Passau that deals with the development of methods for handlig large scale industrial tomography data.

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2022
• Language: English
• ISBN 10: 3030843629
• ISBN 13: 9783030843625
• Binding: Paperback
• Edition number: 1
• Number of pages: 280