Acceleration-Invariant Approximation Method for Recursive Digital Filters,

Abstract

This document describes a procedure for designing recursive digital filters from continuous-time filters when the ratio of the sampling frequency to the pole frequency is small. The discrete-time transfer function of digital filters obtained by this method, called the acceleration-invariant transformation, has been derived from the partial fraction expansion of the continuous-time transfer function. An error function between the digital and analog transfer functions has also been deduced. Finally, the performance of the proposed method is demonstrated by plotting the frequency response of high-order Butterworth and elliptic filters. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1985
Accession Number
ADA156655

Entities

People

  • A. Morin
  • P. Labbe

Tags

DTIC Thesaurus Topics

  • Adaptive Filters
  • Analog Systems
  • Digital Filters
  • Filters
  • Frequency
  • Frequency Bands
  • Frequency Response
  • High Pass Filters
  • Invariance
  • Laplace Transformation
  • Low Pass Filters
  • National Security
  • Personality
  • Resonant Frequency
  • Sampling
  • Transfer Functions

Fields of Study

  • Engineering

Readers

  • Approximation Theory.