I am currently at MIT taking a signal processing class, and this helped a lot! Thank you so much! You earned yourself another subscriber, this is a lot like 3blue1brown.
How do animals with higher frequencies ability to hear say 30 KHz feel when they hear that digital to analog music does it make them crazy. Like horses in race that suddenly are going crazy because of a gun shot.
The problem I faced was that a sinus of frequency zero becomes no signal at all, and thus destroy the visualization of frequency zero which is one of the most important examples of this video.