Question

For the system given by the difference equation below:

Y(n) – (3/2).Y(n-1) – Y(n-2) = -(5/2). X(n-1)

• Find the transfer function H(z). You will need to do this manually.
• Find the poles and zeros of H(z). You can do this manually or use MATLAB.
• Plot the poles and zeros in MATLAB
• Is the system stable?
• Plot the impulse response of the system using MATLAB
• Plot the Step Response of the system using MATLAB
• Plot the frequency response of the system using MATLAB

ok can forword the Q for someelse or you can use octave

Answer 1

%part c
b = [0 -5/2];a = [1 -3/2 -1];
zplane(b,a);

output:

%part d

Since there is one pole lying outside unit circle it is not stable

%part e

figure();
impz(b,a);

%part f

figure();
stepz(b,a);

%part g

figure();
freqz(b,a);