How many Complex  Multiplications are required  to find DFT of N =32 point sequence.Select one:102440324096

To find the DFT of a 32-point sequence, we can use the formula:

DFT(x[k]) = Σ(x[n] * e^(-j * 2π * k * n / N))

where x[k] represents the input sequence, n represents the sample index, k represents the frequency index, and N is the total number of points in the sequence.

In this case, N = 32. To calculate the DFT, we need to perform complex multiplications for each frequency index k and sample index n.

The number of complex multiplications required can be calculated using the formula:

Number of complex multiplications = N * log2(N)

In this case, N = 32, so the number of complex multiplications required is:

Number of complex multiplications = 32 * log2(32)

Calculating this value, we get:

Number of complex multiplications = 32 * 5

Number of complex multiplications = 160

Therefore, the number of complex multiplications required to find the DFT of a 32-point sequence is 160.