• DocumentCode
    1103844
  • Title

    On the absence of limit cycles in a class of state-space digital filters which contains minimum noise realizations

  • Author

    Kawamata, Masayuki ; Higuchi, Tatsuo

  • Author_Institution
    Tohoku University, Sendai, Japan
  • Volume
    32
  • Issue
    4
  • fYear
    1984
  • fDate
    8/1/1984 12:00:00 AM
  • Firstpage
    928
  • Lastpage
    930
  • Abstract
    This paper presents a theorem for the absence of limit cycles in a class of state-space digital filters. Such a class contains minimum noise realizations of any order as a special case, that is, it is proved that the transition matrix A of minimum noise realizations of any order satisfies I - A^{t}A \\geq 0 , and thus the realizations are free of limit cycles.
  • Keywords
    Acoustic signal processing; Acoustical engineering; Digital filters; Eigenvalues and eigenfunctions; Equations; Limit-cycles; Noise level; Signal synthesis; Speech processing; Speech synthesis;
  • fLanguage
    English
  • Journal_Title
    Acoustics, Speech and Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0096-3518
  • Type

    jour

  • DOI
    10.1109/TASSP.1984.1164384
  • Filename
    1164384
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1103844