(a) Find the transfer function for the difference equation
y[n] – 0.7y[n – 1] = x[n].
(b) Use the transfer function to find the steady-state response of this system for the excitation x[n] = cos(n)u[n].
(c) Verify the calculations in Part (b) using MATLAB.
(d) Show that the response satisfies the system difference equation.
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