How many real multiplications are required to find DFT of 32 point signal using DFT
Question
How many real multiplications are required to find DFT of 32 point signal using DFT
Solution
The Discrete Fourier Transform (DFT) of an N-point sequence involves N^2 complex multiplications. However, each complex multiplication involves 4 real multiplications. Therefore, the total number of real multiplications required to compute the DFT of an N-point sequence is 4N^2.
For a 32-point sequence, the number of real multiplications required would be 4 * (32^2) = 4 * 1024 = 4096.
So, 4096 real multiplications are required to find the DFT of a 32-point signal using DFT.
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