Intermitent Radio Operation

My 06 Super v8 radio will operate fine for around 10 minutes then it cuts off. The sound will return in a few seconds. The time it operates normally decreases as the time it fails to operate increases. Eventually there is no sound from the unit. This problem goes across the AM/FM radio, CD changer, CD player, SAT radio. The radio has not been out of the car nor has it been disconnected. I’m at loss, the only thing I can think of is perhaps the amp is blown. Does anyone have a suggestion?