Here's a new one.
Today during a game of Rayxanber II my Duo started emitting a quiet, steady white noise static-y sound. This noise is not audible when music is playing-- there are no audio glitches or anything (I had already replaced all the caps in the audio circuit a few months ago). You can only hear the sound when the music is quiet or nonexistent-- for example, between levels, when boss fights are loading, etc. The sound is present whether I'm playing a game or not. For example, if I simply turn the system on with no game inserted the static is present even at the BIOS screen. The white noise is present over the headphones as well.
What I ruled out:
1) A/V cable. Tried two (first party NEC) A/V cables with the same result, not to mention the sound is present over the headphones too.
2) My TV. Tried multiple other systems using the same input jacks on my TV, no problems.
3) Caps. I spent 3 hours replacing every f*cking capacitor on the logic board. The noise is still there.
4) A/V port. As if hearing the sound over the headphones wasn't good enough to rule out the A/V port, I resoldered the A/V port anyway.
Uhh... I think that's about it. What else does that leave? I've never heard of such a problem. All previous accounts of "static-y audio" have to do with redbook CD audio. This sound is present whenever the system is powered on at all, regardless of whether a game is playing or not.
The next step for me is to run the logic board through the dishwasher.