- #1
tim9000
- 867
- 17
It's been quite a few years but I recently watched a video about how every picture can be represented by a number of overlapping constructive and destructive peaks from a Fourier (transform or series? I don't remember which).
I remember that Fourier series was for periodic and transform was for non-periodic, and I remember the formulas for the series coefficients and the transform and inverse transform equations. But what I can't remember is, say you have a picture, or lests go simpilar than that and say a wave.
I assume you can say that anything, any complex snipit of a signal, is periodic, even if it isn't, and just discard the rest of the series? For instance:
Another way of putting this questions is: is the can you take the series of a non-periodic and just discard the rest of the series? Instead of the transform; turning anything into a periodic series.
But also, say you had that signal, on some scale so you could see time and amplitude, how do you actually know what the f(t) is? Because you need that to calculate the transform or series?
If you've just got some signal, how do you know what you're actually opperating on to get the coefficients or do the transform?
Cheers
I remember that Fourier series was for periodic and transform was for non-periodic, and I remember the formulas for the series coefficients and the transform and inverse transform equations. But what I can't remember is, say you have a picture, or lests go simpilar than that and say a wave.
I assume you can say that anything, any complex snipit of a signal, is periodic, even if it isn't, and just discard the rest of the series? For instance:
Another way of putting this questions is: is the can you take the series of a non-periodic and just discard the rest of the series? Instead of the transform; turning anything into a periodic series.
But also, say you had that signal, on some scale so you could see time and amplitude, how do you actually know what the f(t) is? Because you need that to calculate the transform or series?
If you've just got some signal, how do you know what you're actually opperating on to get the coefficients or do the transform?
Cheers