(a) Find the transfer function for the difference equation
y[n] – 1.7y[n – 1] + 0.72y[n – 2] = u[n], y[–2] = 1, y[–1] = 0.
(b) Use the transfer function to find the steady-state response of this system for the system.
(c) Use the transfer function found in (a) to find the steady-state response of the system for the input
x[n] = cos(n).
(d) Verify the calculations in Part (b) using MATLAB.
(e) Show that the responses in (b) and (c) satisfy the system difference equation.
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