• DocumentCode
    2992088
  • Title

    Novel approximations to0Σ∞|h(n)| for second order digital filters

  • Author

    Guang He, Dong ; Han, Shu-kun

  • Author_Institution
    Shandong University, Jinan, Shandong, China
  • Volume
    10
  • fYear
    1985
  • fDate
    31138
  • Firstpage
    1731
  • Lastpage
    1734
  • Abstract
    The expression {{\\infty \\atop \\sum} \\atop 0} \\mid h(n) \\mid is often encountered in literature or text books where the limit-cycle bounds for digital filters or l1norm for impulse responce sequence {h(n)} is used. Several authors have tried and derived some useful upper bounds for direct form digital filters mathematically ( 1,2,3 ). In this paper, novel approximations to the sum for direct form and normal form digital filters will be given, with the only constant factor \\pi/4 appeared. Plots for an example are given for comparison.
  • Keywords
    Amplitude estimation; Books; Digital filters; Equations; Helium; Limit-cycles; Mathematics; Roundoff errors; Silicon compounds; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '85.
  • Type

    conf

  • DOI
    10.1109/ICASSP.1985.1168237
  • Filename
    1168237