Wikipedia article: https://en.wikipedia.org/wiki/Cepstrum
"Sometimes called the "spectrum of a spectrum""
"The cepstrum can be seen as information about the rate of change in the different spectrum bands"
^ These are very helpful for understanding this thing.
Ah, I see. This is like derivatives and higher-order functions. We're lifting things up and operating on them in these higher/more abstract representations and then converting them back.