3 ms·
Have a link to the original description? Apostol explained it with linear algebra, which made sense, but seems pretty magical in terms of how you'd notice sine
by abecedarius 13y ago
Have a link to the original description?
Apostol explained it with linear algebra, which made sense, but seems pretty magical in terms of how you'd notice sine waves make an orthogonal basis in the first place.
- contravert 13y agoI would like to see his original description as well. I've never understood the Fourier transform intuitively, no matter how much my professors and textbooks attempt to explain it. At this point, I'm just applying algorithms without fully understanding why I'm doing it.
- sergiosgc 13y agoIt was handed out as support material in a course. I can't for the life of me find it online. Anyhow, the transform hinges on two insights: you can use a point rotating in a circle as a basic building block and you can look at any signal as a sequence of spikes. This article looks like it follows the same approach: http://betterexplained.com/articles/an-interactive-guide-to-the-fourier-transform/ http://betterexplained.com/articles/an-interactive-guide-to-...