(a) The following transfer function is a lag network designed to introduce a gain attenuation of 10 (-20dB) at w = 3 radjsec, lOs+ 1 H ( s) = lOOs + 1 .

Assume a sampling period of T = 0.25 sec, and compute and plot in the z-plane the pole and zero locations of the digital implementations of H(s)

obtained using (1) Tustin's method and (2) pole-zero mapping. For each case, compute the amount of gain attenuation provided by the network at Zl = ejwT

(b) For each of the equivalent digital systems in part (a), plot the Bode magnitude curves over the frequency range w =