II. A digital control system has the following difference equation: y[n] = 2.0 x[n] - x[n-1] + 1.2 y[n-1] - 0.48 y[n-2]

a. Find the transfer function H(z) for this system.

b. Draw the digital circuit for H(z). A digital circuit includes sum, multiplication, and delay components.

c. Use MATLAB to draw the pole-zero diagram for the above system.

d. Use MATLAB to derive and plot the impulse response of the system.

e. With the help of MATLAB find and explain the response of the system to the input x[n]=(1-0.5e-n )u[n], where u[n] is a step function. What is the steady-state solution, i. e. when n becomes very large?

Note: please answer be precise