The difference equation describing the input-output relationship of a discrete LTI system is y[n]-0.5y[n-1]+0.125y[n-2]=x[n]+x[n-1] Compute the following:
a) Transfer function of the system, H(z).
b) Impulse response of the discrete time. Also implement in matlab.
c) Output response of the system when the input is unit step . Also compute the unit step output using matlab Simulink.