A zener diode is such that the output corresponding to an input v s (t) = cos(Ït)is a clipped sinusoid as shown in Figure 2.21

A zener diode is such that the output corresponding to an input v_s(t) = cos(Ï€t)is a €œclipped€ sinusoid

as shown in Figure 2.21 for a few periods. Use MATLAB to generate the input and output signals and plot them in the same plot for 0 ‰¤ t ‰¤ 4 at time intervals of 0.001.

(a) Is this system linear? Compare the output obtained from v_s(t) with that obtained from 0.3 v_s(t).

(b) Is the system time-invariant? Explain.

Figure 2.21:

0.5 v,(t) > 0.5 x(t) = {-0.5 v,(t) < -0.5 otherwise v,(t) 0.5 -0.5 -1 -3 -2 -1 2 3 t (sec) (1)x