Continued Fractions and Signal Processing

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.

• 1. ​Continued fractions and what can be done with them.- 2. Continued fractions of real numbers.- 3. Rational functions as continued fractions of polynomials.- 4.Continued Fractions and Gauss.- 5. Continued Fractions and Prony.- 6. Digital Signal processing.- 7.Contined Fractions, Hurwitz and Stieltjes.

“The author provides many references throughout the text, and readers might need to use those to fill in context and follow the development. … One of the best uses of this book might be as a source for special projects for more advanced undergraduates.” (Bill Satzer, MAA Reviews, January 10, 2022)