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Is it the factory-fitted CD player, or an aftermarket model?
How long has it been acting up like this?
Ok, I would think that a loose cable getting disconnected intermittently by vibration is highly likely the cause here.You could remove the radio and test it on a bench to see if it works ok there - this would confirm that the problem is within the car's wiring loom.
I suspect an intermittent fault in the wiring loom; possibly a bare wire is touching against the earth somewhere intermittently and shorting out.
If the radio runs fine on a bench then you will know that the radio itself is ok and the problem is within the car's wiring, with the shorting being caused intermittently though the car's vibrations.