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How many real multiplications are required to find DFT of 32 point signal using DFT

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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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