Question: (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

(a) The difference equation y[n] 0.75y[n-1]+ 0.125y[n-2]= x[n]. models an LTI system.

(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). (e) 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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