Pretty common issue with audio amplifiers around RF sources. The cable input to the audio amp picks up the RF and introduces it into the amplifier. The amplifier can't respond to the RF linearly, so it rectifies it and turns it into a DC or low frequency thump or signal. In some cases you'll hear your handy talkie audio on it.
The root cause is improper routing of the cable grounds inside the subwoofer. That's a design/manufacturing problem that is well understood, but the audio manufacturers, even high end ones, still routinely do it wrong.
The advice to try re-routing the RCA cables is probably your best bet. Also make them as short as possible. Make sure the RCA grounds are making good connection at the subwoofer - they're notorious for not doing that. Take a pliers and bend the ground tabs carefully inward until they fit really tight on the RCA jacks.