The Coefficient Space Approach to the Stability of Multidimensional Digital Filters

Abstract

This report is concerned with the development of a new approach to the problem of stability for multidimensional, causal, recursive, 'all pole', digital filters. The distinguishing feature of this approach is that general stability criteria can be derived directly in terms of the coefficients of the transfer function of the filter. Thus by use of this method it is sometimes possible to determine which coefficients of the transfer function are critical to the stability of the filter, information which is, of course, important in filter design. Also the emphasis of this approach is on the development of a conceptual method for considering the problem in complete generality.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1976
Accession Number
ADA030160

Entities

People

  • Daniel L. Davis

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Classification
  • Coefficients
  • Complex Numbers
  • Complex Variables
  • Digital Filters
  • Filters
  • Linear Algebra
  • Mathematics
  • Numbers
  • Polynomials
  • Quadrants
  • Real Numbers
  • Security
  • Symmetry
  • Transfer Functions
  • Vector Spaces

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Theoretical Analysis.

Technology Areas

  • Space