Problem 1 (a) With short duration DT sequences, it is often simplest to find their convolution by centering copies of one of the signals about each of the non-zero samples of the other signal and scaled by the value of the sample at that location. The result is the sum of all the shifted and scaled signals. Thus, yIn is given by the sum of the following -6-5Problem 1 (a) With short duration DT sequences, it is often simplest to find their convolution by centering copies of one of the signals about each of the non-zero samples of the other signal and scaled by the value of the sample at that location. The result is the sum of all the shifted and scaled signals. Thus, y[n] is given by the sum of the following signals. x[n + 2] 1 2 −1 −2 −4 −3 −2 −1 1 2 3 4 5 2 3 4 5 −6 −5 n −x[n + 1] 1 2 −1 −2 −6 −5 −4 −3 −2 −1 1 2 3 4 5 2 3 4 5 n 6