• DocumentCode
    1180702
  • Title

    Spectral factorization and quarter-plane digital filters

  • Author

    Murray, John J.

  • Volume
    25
  • Issue
    8
  • fYear
    1978
  • fDate
    8/1/1978 12:00:00 AM
  • Firstpage
    586
  • Lastpage
    592
  • Abstract
    Two sets of necessary conditions are derived for the existence of a rational spectral factorization of a given rational function of two complex variables: partial converses of these results are given, and the implications of these conditions for the design of minimum-phase FIR filters and stable IIR filters are discussed. In particular, it is shown that these conditions are closely related to the difficulties encountered in the stabilization problem for two-dimensional IIR filters.
  • Keywords
    Digital filters; FIR (finite-duration impulse-response) digital filters; IIR digital filter stability; Multidimensional digital filters; Multivariable functions; Rational functions; Spectral factorizations; Convergence; Digital filters; Finite impulse response filter; Helium; IIR filters; Matched filters; Polynomials; Smoothing methods; Transfer functions; Visualization;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/TCS.1978.1084521
  • Filename
    1084521