Comb Filters For example, the comb filter generated from the prototype highpass FIR filter H1(z) 1(1-z)has a transfer function G1()=H1(2)=(1-z1) Gie has L peaks Comb filter from highpass prototype at Q=(2K+1)I/L and L notches at a=2兀kL 0<k≤L-1. in the frequency range 0<0<2 Copyright C 2001,S K Mitra5 Copyright © 2001, S. K. Mitra Comb Filters • For example, the comb filter generated from the prototype highpass FIR filter has a transfer function • has L peaks at w = (2k+1)p/L and L notches at w = 2p k/L, | ( )| 1 jw G e ( ) 1 2 1 1 − − z H1 (z) = ( ) ( ) ( ) L L G z H z z − = = 1− 2 1 1 1 0  k  L −1 , in the frequency range 0  w 2p 0 0.5 1 1.5 2 0 0.2 0.4 0.6 0.8 1 w/p Magnitude Comb filter from highpass prototype