• DocumentCode
    1637130
  • Title

    Roundoff noise in floating point state space digital filters

  • Author

    Rao, Bhaskar D.

  • Author_Institution
    AMES Dept., California Univ., San Diego, La Jolla, CA, USA
  • fYear
    1989
  • Firstpage
    724
  • Abstract
    The roundoff noise properties of floating-point state-space digital filters are examined. It is shown that the roundoff noise behavior of these filters is related to their coefficient sensitivity. Expressions for the variance of the output roundoff noise are derived when the input to the filter is a zero-mean, wide-sense stationary random process. These expressions, as expected, depend on the input signal statistics along with the filter parameters, in particular the controllability and observability grammians
  • Keywords
    controllability; digital filters; observability; random processes; roundoff errors; state-space methods; coefficient sensitivity; controllability; filter parameters; floating point; input signal statistics; observability grammians; roundoff noise properties; state space digital filters; wide-sense stationary random process; zero mean process; Artificial intelligence; Digital filters; Fixed-point arithmetic; Floating-point arithmetic; Observability; Random processes; Random variables; Roundoff errors; Signal processing algorithms; State-space methods;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 1989., IEEE International Symposium on
  • Conference_Location
    Portland, OR
  • Type

    conf

  • DOI
    10.1109/ISCAS.1989.100453
  • Filename
    100453