• DocumentCode
    1170881
  • Title

    On the optimum step response of band-limited systems

  • Author

    Barcilon, V.

  • Volume
    19
  • Issue
    5
  • fYear
    1972
  • fDate
    9/1/1972 12:00:00 AM
  • Firstpage
    424
  • Lastpage
    427
  • Abstract
    The following bounds for the overshoot/undershoot \\epsilon of the unit step response of a band-limited system are derived: frac{1}{\\pi} \\int_{\\omega _{0}T}^{\\infty } K_{0}(\\xi)d \\xi < \\epsilon < frac{1}{\\pi} K_{0}(\\omega _{0}T) where 2T is the rise time, (- \\omega _{0}, \\omega _{0}) is the bandwidth, and K_{0} is the zeroth-order modified Bessel function of the second kind. The suboptimal response corresponding to the upper bound is also discussed.
  • Keywords
    Band-limited systems; General circuit theory; Transient analysis; Bandwidth; Circuit synthesis; Circuit theory; Displays; Equations; Frequency; Mathematics; Notice of Violation; Time factors; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Circuit Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9324
  • Type

    jour

  • DOI
    10.1109/TCT.1972.1083530
  • Filename
    1083530
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1170881