[A] The frequency response of a 2nd order LTI filter is H(e^jw)=(b0+b1e^-jw+b2*e^-2jw)/(1-a1*e^-jw-a2*e^-2jw)
Assume b1=b2=0. In each case state whether the filter is highpass, lowpass or band pass and draw the pole/zero plot.
i) a1=-1.8, a2=-.81
ii) a1=-1.27, a2=-.81
Explain the observations.
[B] The frequency response of an FIR filter is H(ejw)=b0+b1*e^-jw+b2*e^-2jw. In each case below, state whether the filter is highpass, lowpass, bandpass or band stop and draw the pole zero plot.
i) b0=1, b1=-1.8, b2=.81
ii) b0=1, b1=-1.27; b2=.81
iii) b0=1, b1=0, b2=.81
Explain the observations.© BrainMass Inc. brainmass.com November 30, 2021, 12:14 am ad1c9bdddf
The solution is provided with explanation and necessary plots in an attachment.