How many real multiplications are required to find DFT of 32 point signal using DFTSelect one:Real Multiplications= 4096Real Multiplications= 4032Real Multiplications= 64Real Multiplications= 1024
Question
How many real multiplications are required to find DFT of 32 point signal using DFTSelect one:Real Multiplications= 4096Real Multiplications= 4032Real Multiplications= 64Real Multiplications= 1024
Solution
To find the DFT of a 32-point signal, we can use the formula:
DFT(x[n]) = Σ(x[k] * exp(-j * 2π * k * n / N))
where x[n] is the input signal, k is the frequency index, n is the time index, and N is the length of the signal.
In this case, N = 32, so we need to calculate the DFT for 32 frequency indices (k values) and 32 time indices (n values).
For each frequency index k, we need to calculate the sum of products for all time indices n. Since we have 32 time indices, we need to perform 32 multiplications for each frequency index.
Therefore, the total number of real multiplications required to find the DFT of a 32-point signal is:
32 frequency indices * 32 time indices = 1024 real multiplications.
So, the correct answer is: Real Multiplications = 1024.
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