We have two computers in our house, but at 1am on the dot every day both CRT's start to shake unintill 6am on the dot, needless to say it gives me the shits.
I would venture to guess there is some sort of cable company that receives their broadcast packets at that time, and you are in there path.. I have a client who's wireless network goes offline like clockwork at 3:30pm for half an hour.