Synthesis of Digital Filter Structures with Low Roundoff Noise and Coefficient Sensitivity.

Abstract

Optimal synthesis procedures for second-order state-space digital filters have been developed in the sense of minimum output roundoff noise with L2 scaling. It has been demonstrated that these procedures are also nearly optimal for L at infinity scaling. The coefficient sensitivities have been shown to be closely related to the roundoff-noise components, and hence the optimal designs also have low sensitivity properties. The limit-cycle behavior of state-space structures has been investigated for rounding and for magnitude truncation. It was shown that rounding often leads to large antonomous limit cycles; while with magnitude truncation, it is possible to avoid limit cycles altogether. These results are presented in the two papers attached to this report. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 15, 1978
Accession Number
ADA065135

Entities

People

  • Allen G. Lindgren
  • Leland B. Jackson
  • Young Jun Kim

Organizations

  • University of Rhode Island

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Amplitude
  • Cascade Structures
  • Coefficients
  • Computer Programs
  • Contour Integrals
  • Digital Filters
  • Dynamic Range
  • Equations
  • Filters
  • Frequency
  • Frequency Response
  • Rhode Island
  • Scientific Research
  • Sensitivity
  • Transfer Functions
  • Truncation

Readers

  • Approximation Theory.
  • Control Systems Engineering.

Technology Areas

  • Space