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
fDate :
6/1/1995 12:00:00 AM
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;
Journal_Title :
Signal Processing, IEEE Transactions on
