Question

Assuming that a 20-point DFT is computed using the prime factor algorithm,

(a) Determine the input and output mapping tables.

(b) If the input sequence is

x[n] ={1/2, n even

{ 0, n odd

carry out the 20-point DFT of x[n] step-by-step using the prime factor algorithm.points) Assuming that a 20-point DFT is computed using the prime factor algorithm, a) Determine the input and output mapping

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Answer #1

(a) The length of the DFT sequence is, N = 20 Convert the length of DFT into two for prime factor algorithm. N = 20 = 4x 5 =Write the expression for k. k=(kq M2 + k, xM)mod (N) = (5k1 +16k2 )mod (20) Draw the input mapping table using k. Table 2 1.Draw the input mapping table using n from table 1. 120720 2020 1220 220 2020 4 4020 0.5 0 0.5 Calculate the DFT of the sequen

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