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A filter of the form
G(z) = z2/(z - p)(z - p)
with p = re4ωn will be studied.
With r = 0.95 and ωn = Π/10 , plot the time response to the input sinusoidal waveform generated in the first question. Show both the transient and steady-state response.
Plot the frequency-domain response of the filter. Explain all your working, particularly how the z transfer function is converted to gain/phase plots.
Find the gain and phase from the time-domain response of part (a), and compare to that expected from the frequency response in part (b). Are the results the same?
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