Linear-Phase FR Transfer Functions Note the improved magnitude response obtained by simply changing the first and the ast impulse response coefficients of a moving-average(MA)filter It can be shown that we an express H10(2)=(+z)(1+x1+22+3+z4+x35) which is seen to be a cascade of a 2-point ma filter with a 6-point ma filter Thus, Ho(z)has a double zero atz=-l 0=几 Copyright C 2001, S K. MitraCopyright © 2001, S. K. Mitra 12 Linear-Phase FIR Transfer Functions • Note the improved magnitude response obtained by simply changing the first and the last impulse response coefficients of a moving-average (MA) filter • It can be shown that we an express which is seen to be a cascade of a 2-point MA filter with a 6-point MA filter • Thus, has a double zero at , i.e., (w = ) ( ) ( ) ( ) 1 2 3 4 5 6 1 1 2 1 0 1 1 − − − − − − H z = + z  + z + z + z + z + z H0 (z) z = −1