Showing posts with label comb filter. Show all posts
Showing posts with label comb filter. Show all posts

Saturday, October 19, 2019

comb filter

notes from "A Comb Filter Design Using Fractional-Sample Delay" [1]:

  • transfer function of the filter: $H_C\left(z\right)=\frac{1-z^{-D}}{1-\rho^D z^{-D}}$, where $D$ is the period of harmonic interference (see block diagram below);
  • if $D$ is integer, filter realization is straight forward;
  • if $D$ is a fraction, we can use the the techniques in "Splitting the unit delay" [2] to realize $z^{-D}$; FIR frac delay filter or All-Pass frac delay filter;
  •  an extra optimization that [1] proposes is to make sure that the filter response has an actual zero at  $w_0=\frac{2\pi}{D}$ frequency;


comb filter to remove periodic interference, where $D$ is the period of the interference harmonic