Interactive Minimax Design of Nonrecursive Digital Filters.

Abstract

The problem of finding a mimimax approximation to an ideal frequency response of a nonrecursive digital filter is studied. The general Remes exchange algorithm for computing the approximation has been implemented using a computer graphics display. Dependence of sidelobe level on the transition band width is considered. In order to obtain a tighter fit in certain regions the techniques of approximation with restricted range are used to compute an approximation which is constrained to lie between two restraining curves. Error trade-off between unconstrained and constrained approximations is considered. A careful mathematical study of discretization error is made. A comparison is made between the authors' approach using restraining curves and the approaches of other investigators in this area. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 16, 1972
Accession Number
AD0750767

Entities

People

  • Donald W. Tufts
  • Harlan S. Hersey
  • James T. Lewis

Organizations

  • University of Rhode Island

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Computer Graphics
  • Computers
  • Digital Filters
  • Filters
  • Frequency
  • Frequency Response
  • Graphics
  • Interactive Graphics
  • Sidelobes
  • Transitions

Readers

  • Approximation Theory.
  • Calculus or Mathematical Analysis
  • Operations Research