The unit-step signal "turns on" at n = 0, and is usually denoted by u[n].(a) Make...

The unit-step signal "turns on" at n = 0, and is usually denoted by u[n].

(a) Make a plot of u[n]

(b) We can use the unit-step sequence to represent other sequences that are zero for n<0. Plot the sequence x[n] = (0.5)" u[n].

(c) The L-point running average is defined as

For the input sequence x[n] = (0.5)" u[n], compute the numerical value of y[n] over the index range —5 ≤ n ≤ 10, assuming that L = 4.

For the input sequence x[n] = an u[n], derive a general formula for y[n] that will apply for any value a, for any length L, and for the index range n ≥ 0.In doing so, you may have use for the formula: