Well, Bessel came up with his functions long before FM broadcasting. Ok you can use Carson's rule but Wikipedia says: "In 1922 he published a mathematical treatment of frequency modulation (FM), which introduced the Carson bandwidth rule." Which pre dates FM broadcasting.
While designing my circuit I found this document very useful:
Reality is always different from models because models can never have everything that reality has. But this does not mean that models aren't useful. Simulation can do a lot to tell you you're going in the right direction. This can save a lot of time when you get to do it in reality.
My sync separators worked too, back when I needed one. They weren't quite like yours, I think I got an idea from Video Handbook by someone, I forget who.
Well you should. Anyone who claims to be a genius might as well be telling you that they aren't.
Just one more thing. Writing PC as peesee is fine if you're composing something like this: