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An Application of a Restricted Range Version of the Differential Correction Algorithm to the Design of Digital Systems

  • E. H. KaufmanJr.
  • G. D. Taylor
Part of the International Series of Numerical Mathematics book series (ISNM, volume 30)

Abstract

The differential correction algorithm of Cheney and Loeb uses linear programming to find good generalized rational approximations on a finite point set. An expositöry discussion of numerical and theoretical results for this algorithm will be given. The application of a restricted range version of the algorithm to the design of digital filters will be considered, with a discussion of numerical results and such topics as continuity of the best approximation operator and degeneracy. A Fortran listing of this weighted, restricted range differential correction program is available upon request.

Keywords

Extreme Point Rational Approximation Digital Filter Restricted Range Filter Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel AG 1976

Authors and Affiliations

  • E. H. KaufmanJr.
    • 1
    • 2
  • G. D. Taylor
    • 1
    • 2
  1. 1.Department of MathematicsCentral Michigan UniversityMount PleasantUSA
  2. 2.Department of MathematicsColorado State UniversityFort CollinsUSA

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