Blaschke product interpolation and its application to the design of digital filters
type: Item
instance of: scholarly article
title: Blaschke product interpolation and its application to the design of digital filters
zbMATH Open document ID: 0634.41007
DOI: 10.1007/BF01890578
author: W. B. Jones
author: Stephan Ruscheweyh
published in: Constructive Approximation
publication date: 1987-01-01T00:00:00Z
review text: A new proof is given that n distinct points on the unit circle can be mapped into n arbitrary points on the circle of the complex plane by a finite Blaschke product. A result of this proof is that the mapping can be done with at most n-1 factors in the product. The problem is studied in the context of its application to frequence transformations used to design digital filters.
Mathematics Subject Classification ID: 41A05
zbMATH DE Number: 4032277
zbMATH Keywords: finite Blaschke product
zbMATH Keywords: frequence transformations
zbMATH Keywords: digital filters
MaRDI profile type: Publication
cites work: An Elementary Interpolation Theorem
cites work: Q3258669
cites work: Q3996701
cites work: Shorter Notes: Interpolation by a Finite Blaschke Product
full work available at URL: https://doi.org/10.1007/bf01890578
OpenAlex ID: W2035019034
description: scientific article; zbMATH DE number 4032277