• DocumentCode
    1385483
  • Title

    Improved L2-sensitivity for state-space digital system

  • Author

    Xiao, Chengshan

  • Author_Institution
    Dept. of Electr. Eng., Sydney Univ., NSW, Australia
  • Volume
    45
  • Issue
    4
  • fYear
    1997
  • fDate
    4/1/1997 12:00:00 AM
  • Firstpage
    837
  • Lastpage
    840
  • Abstract
    An improved L2-sensitivity measure for linear state-space digital systems is presented. It gives a more precise evaluation of the transfer function deviation ΔH(z) between the infinite wordlength system and the finite wordlength system when the structure matrices {A,b,c} contain 0 and ±1 coefficients. This measure can be applied in the system optimization, resulting in a computationally efficient and very low L2-sensitivity structure. The theoretical result is verified by a numerical example
  • Keywords
    digital systems; linear systems; optimisation; quantisation (signal); sensitivity analysis; state-space methods; transfer function matrices; L2-sensitivity; coefficients quantization; finite wordlength system; infinite wordlength system; linear state-space digital systems; structure matrices; system optimization; transfer function deviation; Digital signal processing; Digital systems; Equations; Frequency dependence; Hardware; Minimization methods; Quantization; Symmetric matrices; Transfer functions; White noise;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.564172
  • Filename
    564172