I'm pretty sure that this is a ground loop, even though there is no hum. Ground loops in digital equipment often corrupt data, and you get the noise you complain of. The give away is the noise you get moving the arrow on the screen.
So you need to go through the usual procedure for isolating ground loops. That means removing grounds one by one. Most likely the ground loop is occurring between your TV and receiver.
The ground loops can be internal. The last time I ran into this exact problem, it was a ground loop in a power supply.