Constant-K/M-Derived Digital Filter/Smoothers.

Abstract

This report develops the theory and equations for linear, first-order, constant coefficient, differential equations to implement digitally low-pass and high-pass filter/smoothers for use in post-test data reduction and analysis. The derivations are based on the theory developed by O. J. Zabel in 1923 for continuous constant-K/M-derived filters. A constant-K/M-derived filter is a lossy passive filter whose transfer function contains significant poles and zeroes in the 5-domain. This is in contrast to widely used forms of active filters such as Butterworth and Chebyschev whose transfer functions contain only significant poles in the 5-domain. A minimum set of linear differential equations requiring no derivatives or integrals of the input function is derived from the corresponding electrical circuit diagram.

Document Details

Document Type
Technical Report
Publication Date
May 28, 1974
Accession Number
ADA011652

Entities

People

  • Austin L. Foote
  • Walter G. Murch

Organizations

  • Air Force Special Weapons Center

Tags

DTIC Thesaurus Topics

  • Data Reduction
  • Differential Equations
  • Digital Filters
  • Electrical Circuits
  • Equations
  • Filters
  • High Pass Filters
  • Linear Differential Equations
  • Transfer Functions

Readers

  • Calculus or Mathematical Analysis
  • Phased Array Antenna Design.