Computer algorithm for spectral factorization of rational matrices

  • Authors:
  • W. G. Tuel

  • Affiliations:
  • Research Division, San Jose, California

  • Venue:
  • IBM Journal of Research and Development
  • Year:
  • 1968

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Abstract

An algorithm is derived for the numerical spectral factorization of matrices arising in optimal filter design. The method uses a bilinear transformation to convert the factorization problem into a stable nonlinear difference equation of the Riccati type. The computer solution of several examples is presented to illustrate the technique.