Dft formula

1. What is the DFT formula?
2. Why do we calculate DFT?
3. What is N in DFT formula?

What is the DFT formula?

xn=N1k=0∑N−1Xke2πikn/N. The DFT is useful in many applications, including the simple signal spectral analysis outlined above.

Why do we calculate DFT?

The Discrete Fourier Transform (DFT) is of paramount importance in all areas of digital signal processing. It is used to derive a frequency-domain (spectral) representation of the signal.

What is N in DFT formula?

DFT[x1(n) N x2(n)] = X1(k)X2(k) Where N indicates N-point circular convolution. Multiplication property: If X1(k) = DFT[x1(n)] & X2(k) = DFT[x2(n)], then. DFT[x1(n)x2(n)] = (1/N)[X1(k) N X2(k)]