Question 11.15.8: Consider a discrete-time system with transfer function H1(z)...
Consider a discrete-time system with transfer function
H_1(z)=\frac{z^2}{z^2\ +\ 0.2z\ +\ 0.01}a. Find the transfer function H_2(z) of a system with the same behavior that causes a delay of 2 units to an applied input signal. Also, plot for 0 ≤ n ≤ 8.
b. The impulse response of the system with transfer function H_1(z).
c. The impulse response of the system with transfer function H_2(z).
a.
num=[1 0 0];
den=[1 .2 .01];
Ts=0.1;
H1=tf(num,den,Ts);
H2=tf(num,den,Ts,'inputdelay',2)
Transfer function:
z^\wedge (-2)*\frac{z^\wedge 2}{z^\wedge 2\ +\ 0.2z\ +\ 0.01}
Sampling time: 0.1
b.
n=0:8;
h=dimpulse(num,den,n);
stairs(n,h)
legend('h[n]')
c.
num=1;
h2=dimpulse(num,den,n);
stairs(n,h2)
legend('h[n-2]');
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