(a) The difference equation
y[n] - 0.75y[n - 1] + 0.125y[n - 2 = x[n].
models an LTI system. Find the system transfer function.
(b) Find the unit step response for the system of part (a).
(c) Use MATLAB to check the partial-fraction expansion in part (b).
(d) From part (b), give the values of y[0], y[1], and y[2].
(e) Verify the results of part (d) by solving the difference equation iteratively.
(f) Verify the results in part (e) using MATLAB.
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