4 ms·
Maybe I'm naive, but I personally find it much simpler just to see how you can construct an arbitrary waveform using the summation of a series of sinusoids - an
by demallien 15y ago
Maybe I'm naive, but I personally find it much simpler just to see how you can construct an arbitrary waveform using the summation of a series of sinusoids - and then a Fourier transform is just the inverse operation...
- Djehngo 15y agoI think that rather than explaining what a Fourier transform does the linked page attempts to explain how it works.
- weaksauce 15y agoI agree with you. I know the Fourier transfom well from a discrete signals class but that explanation didn't make any sense to me. What is the motivation to spin the signal at 3k?
- regularfry 15y agoBecause that's the frequency component you want to measure. Repeat at all the other frequencies you're interested in to get the whole spectrum.
- splat 15y agoI think the point of the explanation was to provide some intuition as to where the Exp[- 2 pi i k n / N] in the formula comes from. If it's easier to think of that as a sinusoid then your way of thinking about it is better. If it's easier for you to think of that as spinning your signal around like a phasor then the OP's explanation is useful.