Given a digital filter with the following numerator and denominator coefficient vectors, respec-
tively:
num= 0.8831, 1.6234, 2.5118, 1.6234, 0.8831, and
den= 1., 1.7342, 2.5277, 1.5502, 0.7998.
find the poles and zeros of the filter transfer function. is the filter stable?
plot the magnitude and phase of h(ejω) of the filter. hence, determine the type of filter
(lp, hp, bp, or notch) it represents.
determine the 3-db bandwidth of the filter.
if the sampling period is t = 10 µsec, determine the 3-db bandwidth in hz.