I was looking into the fundamental frequency in DFT and I noticed many sources mention that the fundamental frequency is $1/N$, where $N$ is the number of samples. (When doing the DFT, we have $k/N$, so all frequencies end up multiple of $1/N$)
It is also mentioned that the frequency resolution is $Fs/N$, where $Fs$ is the sampling frequency of the discrete signal. However $Fs$ is nowhere to be seen in the DFT. Why is that? I’m sure there’s a simple explanation behind this that correlates $1/N$ to $Fs/N$, but I couldn’t find it anywhere. What confused me is that in the DFT we are calculating amplitude and phase at frequencies multiples of $1/N$, but they end up being multiples of $Fs/N$ in the signal frequency spectrum.