SOME VARIATIONS ON THE USE OF BUTTERWORTH POLYNOMIALS.

Abstract

After reviewing the conventional use of Butterworth polynomials, a new technique is proposed which employs the sum and difference of such polynomials. These sums and differences are used to form rational functions which approximate certain transfer characteristics. All these new approximations are shown to be realizable as the transfer function of a three-terminal RLC network. From this work emerges the interesting fact that the weighted sum of two consecutive Butterworth polynomials is Hurwitz, i.e., B sub n (s) + alpha B sub n-1 (s) is Hurwitz for all alpha 0. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1966
Accession Number
AD0639576

Entities

People

  • William E. Blum

Organizations

  • Case Western Reserve University

Tags

DTIC Thesaurus Topics

  • Functions (Mathematics)
  • Mathematics
  • Polynomials
  • Rational Functions
  • Terminals
  • Transfer Functions

Readers

  • Approximation Theory.