Question 2: (50 Points) Given a sequence x(n) = [1,0,0,2,0) a) (10 Points] What should the length of x(n) be in order to
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Question 2: (50 Points) Given a sequence x(n) = [1,0,0,2,0) a) (10 Points] What should the length of x(n) be in order to
Question 2: (50 Points) Given a sequence x(n) = [1,0,0,2,0) a) (10 Points] What should the length of x(n) be in order to apply FFT? Write the new x(n) sequence based on your answer. b) [15 Points) Calculate the values of W.W and W c) [15 Points] Using the below diagram, calculate X(O). X(2) and X(4). d) (10 Points] What are the numbers of complex multiplications required to calculate X(k) for the given x(n) using: FFT and DFT methods? *[0] X[0] w: o X[4] x[1] w: x[2] [ w oX[2] w: X[6] N *[3] w: x[4] . X[1] w w x[5] X[5] W3 w *[6] W3 W3 - X[3] w: oX[7] *[71
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