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 How many number of butterflies are required per output point in FFT algorithm?
  • a)
    N
  • b)
    N+1
  • c)
    2N
  • d)
    N-1
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
How many number of butterflies are required per output point in FFT al...
Explanation: We find that, in general, there are N/2 in the first stage of FFT, N/4 in the second stage, N?8 in the third state, and so on, until the last stage where there is only one. Consequently, the number of butterflies per output point is N-1.
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Most Upvoted Answer
How many number of butterflies are required per output point in FFT al...
Explanation:

In FFT algorithm, the number of butterflies required per output point is (N/2) where N is the number of input points or samples.

But, for the last output point, only (N/2)-1 butterflies are required.

This is because the last output point is the complex conjugate of the first output point, and hence the calculations for the last point can be obtained from the first point.

Therefore, the total number of butterflies required per output point in FFT algorithm is N-1.

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Explanation:


  • In FFT algorithm, the number of butterflies required per output point is (N/2) where N is the number of input points or samples.

  • But, for the last output point, only (N/2)-1 butterflies are required.

  • This is because the last output point is the complex conjugate of the first output point, and hence the calculations for the last point can be obtained from the first point.

  • Therefore, the total number of butterflies required per output point in FFT algorithm is N-1.

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How many number of butterflies are required per output point in FFT algorithm?a)Nb)N+1c)2Nd)N-1Correct answer is option 'D'. Can you explain this answer?
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