Oh, well it doesn't have any digital inputs, but there is a sticker saying that it is "Dolby Digital Ready." Don't know if that makes a difference. Interesting about the RF signals, what could be some sources? My wireless router is sitting right on top of the speaker.
Lousy idea! Of all the devices in a room, the ones with the biggest magnets operating on AC signals are the speakers! Now, that does not always cause a problem because the speakers are operating a frequencies well below those in computer circuits, but it still can induce low-frequency noise signals in wiring and especially in wireless router input circuits that pick up weak electromagnetic fields and feed them to booster amps. I suggest moving the router (and anything else) off the speaker.
Here's another thought to try. What you describe sounds a lot like the computer, or one of its attached peripherals, is picking up extraneous noise signals. Normally this is not a problem because good chassis grounding helps to shield the internals. But a poor or non-existent Ground connection can eliminate the noise shielding. Get one of those outlet checker devices from a hardware store. They plug into any outlet and their light pattern tells you whether everything in that outlet is wired and functioning correctly, including whether the Ground is OK. You can plug this into any outlet, so start from the wall and then test outlets on your power bars, maybe even rig it to test the ends of power cords that feed into your PSU, etc. Look for any malfunctions.
Poor grounds can be a real problem with small devices powered by "wall warts". Most of these actually do NOT have their own direct Ground connection that will help reduce noise pick-up, so they depend on a Ground connection provided by the signal cable that attaches them to something else. So a signal cable with a broken Ground lead can cause trouble and be very hard to spot.
There is another more subtle source of potential trouble. You say you have two power bars for two groups of devices. On rare occasions if those two are fed by DIFFERENT branch circuits coming from the breaker box you can get odd low-voltage "noise signals" as a result of slightly mismatched Neutral lines. As a start, try to identify which breaker controls which outlets in your rooms. First, is ALL of your computer system (both power bars, etc) on the same breaker? If not, maybe try to re-arrange which outlets are used to get them all together on one circuit.
Now, what about the outlet that the receiver is plugged into (in the other room). Is that one from a different breaker? I would expect it is. But if it is NOT - that is, if the receiver's power source in the next room actually is on the SAME breaker as your computer - it makes your story even more puzzling. That is because you say that plugging the receiver into the more distant outlet eliminates the trouble, even though the receiver is still in the same room as the computer. Or, has that scenario changed?