• DocumentCode
    810111
  • Title

    Limit cycles in digital filters

  • Author

    Brubaker, T.A. ; Gowdy, J.N.

  • Author_Institution
    Colorado State University, Fort Collins, CO, USA
  • Volume
    17
  • Issue
    5
  • fYear
    1972
  • fDate
    10/1/1972 12:00:00 AM
  • Firstpage
    675
  • Lastpage
    677
  • Abstract
    A study is made of the nonlinear phenomenon of limit cycles in digital filters implemented using fixed point arithmetic with product rounding. By investigating individually the different types of limit cycles, bounds are derived on the coefficients for second-order filters in the direct and canonic form that are more efficient than earner bounds. Then the results are extended to filters connected in cascade.
  • Keywords
    Fixed-point digital filters; Limit cycles; Recursive digital filter wordlength effects; Computer errors; Digital arithmetic; Digital filters; Gold; Limit-cycles; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1972.1100120
  • Filename
    1100120
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=810111