1) Given the transfer function shown below, convert it into a difference equation. z^2-0.7071z/z^2-1.41z+1
2. The impulse response of a discrete time system is given by h(n) = [ 1 -1 2 ].
To such a system we apply an input of the type x(n) = [ 2 1 2 3 ].
3. A system is described by the transfer function below. H(z) = (z^2+0.64)/(z^2+1.8z+1.28)
Find the location of poles and zeros of the system and write them here. Is this a stable system? Why or why not?
4. The transfer function of a discrete time system is given by H H(z) = z/(z-0.5)
The system has a sampling rate of 100 Hz. Calculate the frequency response of the system at 25 Hz input frequency as a complex number in both rectangular and polar form.