In this problem we consider the effect of a single zero on the frequency response of a s...

In this problem we consider the effect of a single zero on the frequency response of a system. Let ). Then

(a) Show that the magnitude response is

or, equivalently,

(b) Show that the phase response is given as

(c) Show that the group delay is given as

(d) Plot the magnitude , the phase and the group delay for r = 03 and 9 = 0,