The length-L running sum is defined as L-1 y[n] = x[n-k] When the input x[n] is...

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The length-L running sum is defined as L-1 y[n] = x[n-k] When the input x[n] is the unit-step signal, determine the output signal as follows: (a) Compute the numerical values of ly[n] over the time interval -5 ≤n ≤ 10, assuming that L = 5. 1 L - k=0 (b) Make a sketch of the output over the time interval -5 ≤ n ≤ 10, assuming that L = 5. Use MATLAB if necessary, but learn to do it by hand also. (c) Finally, derive a general formula for y[n] that will apply for any length L and for the range n > 0. The length-L running sum is defined as L-1 y[n] = x[n-k] When the input x[n] is the unit-step signal, determine the output signal as follows: (a) Compute the numerical values of ly[n] over the time interval -5 ≤n ≤ 10, assuming that L = 5. 1 L - k=0 (b) Make a sketch of the output over the time interval -5 ≤ n ≤ 10, assuming that L = 5. Use MATLAB if necessary, but learn to do it by hand also. (c) Finally, derive a general formula for y[n] that will apply for any length L and for the range n > 0.