Assume that a complex multiplication takes 1 and that the amount of time to compute a DFT is determined by the amount of time it takes to perform all of the multiplications. The time required to compute a 1024-point DFT directly and using FFT is (approximately)
Option 1:
1s and 5ms
Option 2:
2s and 50ms
Option 3:
10s and 50ms
Option 4:
1s and 50ms
Answers
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4
Answer:
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Answered by
0
Answer:
Answer: a
Explanation: The formula for calculating N point DFT is given as
X(k)=∑N−1n=0x(n)e−j2πkn/N
From the formula given at every step of computing we are performing N complex multiplications and N-1 complex additions. So, in a total to perform N-point DFT we perform N2 complex multiplications and N(N-1) complex additions.
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