8. Consider the following function: g(z) = rect(z) & [rect(x + 2) + + + 8(x...

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8. Consider the following function: g(z) = rect(z) & [rect(x + 2) + + + 8(x - 2) 2 (a) Calculate and sketch g(x) via convolution use of convolution theorem is not allowed, please use the graphical convolution method or other related techniques). (b) Is g(x) a periodic function? If so, what is its period T? [4 points] 8. Consider the following function: g(z) = rect(z) & [rect(x + 2) + + + 8(x - 2) 2 (a) Calculate and sketch g(x) via convolution use of convolution theorem is not allowed, please use the graphical convolution method or other related techniques). (b) Is g(x) a periodic function? If so, what is its period T? [4 points]