Floating-Point Coefficient Sensitivity and Roundoff Noise of Recursive Digital Filters Realized in Ladder Structures.

Abstract

Coefficient sensitivity and roundoff error with floating-point rounding have been investigated for several digital ladder filter structures. It is found that in all the cases studied, the ladder structures first proposed by Fettweis show a much lower coefficient sensitivity. In this paper, a hybrid cascade structure is proposed and synthesized. Its coefficient sensitivity is found to be between a conventional cascade structure and the ladder structures. Roundoff error is also investigated by extensive simulation. The new Fettweis ladder structure is found to exhibit the lowest roundoff error. This result is in agreement with the theoretical study which indicates that digital filters which exhibit reduced attenuation sensitivity tend to have less roundoff error.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1975
Accession Number
ADA007031

Entities

People

  • Siu-ming Ng
  • Walter H. Ku

Organizations

  • Cornell University College of Engineering

Tags

DTIC Thesaurus Topics

  • Agreements
  • Attenuation
  • California
  • Cascade Structures
  • Coefficients
  • Cooperation
  • Digital Filters
  • Filters
  • Sensitivity
  • Simulations

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computer Programming and Software Development.
  • Spectroscopy.