Ever since I was introduced to the Fourier Series (and the Fourier Transform), I’ve been attracted to its simplicity and beauty.
Once you look beyond the underlying math, its intrigue only increases. Any repeating signal is a super-position of an infinite sine waves with different frequencies and amplitudes. Any signal. A square wave is a sum of infinite sine waves!
I remember spending time in college trying to visualise this, trying to wrap my head around it. And years later, I come across this:
This is the best visualisation of the Fourier Series I’ve come across. Hat tip to Andre Michelle for making this. Have fun playing around with it.