Evaluate the "running" averagefor the unit-step input signal, i.e..(a)  Make a plo...

Evaluate the "running" average

for the unit-step input signal, i.e..

(a)  Make a plot of u[n] before working out the answer for y[n]

(b) Now compute the numerical values of y [n] over the time interval —5 ≤ n ≤ 10, assuming that L = 5.

(c) Make a sketch of the output over the time interval —5 ≤ n ≤ 10, assuming that L = 5. Use Matlabif necessary, but learn to do it by hand also.

(d) Finally, derive a general formula for y[n] that will apply for any length L and for the range n ≥ 0.