• DocumentCode
    791912
  • Title

    A general characterization of lowpass FIR frequency response in the transition band

  • Author

    Morgan, Dennis R.

  • Author_Institution
    Dept. of Acoust. Res., AT&T Bell Labs., Murray Hill, NJ, USA
  • Volume
    43
  • Issue
    6
  • fYear
    1995
  • fDate
    6/1/1995 12:00:00 AM
  • Firstpage
    1508
  • Lastpage
    1510
  • Abstract
    A general model is derived for the frequency response of lowpass FIR filters in the transition band which has applications to filter bank aliasing calculations and convergence of the LMS algorithm. It is shown that as a class, these filters exhibit a frequency response whose squared magnitude rolls off approximately as (ω0-ω)q, where q is a positive exponent that is expressed generically in terms of the filter order and the angular stopband edge frequency ω0
  • Keywords
    FIR filters; antialiasing; convergence of numerical methods; digital filters; frequency response; least mean squares methods; low-pass filters; LMS algorithm; angular stopband edge frequency; convergence; filter bank aliasing; filter order; general characterization; lowpass FIR frequency response; squared magnitude; transition band; Band pass filters; Convergence; Cutoff frequency; Digital filters; Filter bank; Finite impulse response filter; Frequency response; Least squares approximation; Mathematical model; Sampling methods;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.388865
  • Filename
    388865
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=791912