Why does the frequency in the DFT have to be an integer?

1. What is frequency in DFT?
2. How do you find the frequency of a DFT?
3. What is DFT in frequency domain?
4. Why do we need to represent a signal in frequency domain?

What is frequency in DFT?

Thus, the DFT is mirrored about the frequency ωm = ωN/2.

How do you find the frequency of a DFT?

calculate the magnitude of each DFT output bin: magnitude = sqrt(re*re+im*im) find the bin with the largest magnitude, call its index i_max . calculate the equivalent frequency of this bin: freq = i_max * Fs / N , here Fs = sample rate (Hz) and N = no of points in FFT.

What is DFT in frequency domain?

In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of equally-spaced samples of the discrete-time Fourier transform (DTFT), which is a complex-valued function of frequency.

Why do we need to represent a signal in frequency domain?

The frequency domain representation of a signal allows you to observe several characteristics of the signal that are either not easy to see, or not visible at all when you look at the signal in the time domain. For instance, frequency-domain analysis becomes useful when you are looking for cyclic behavior of a signal.