We occasionally have a situation where one speaker is wearing a wireless microphone and another speaker is not. (Usually a translator would be using the wireless headset, standing next to a guest speaker).
When the speaker wearing the wireless headset moves away or nearer to from the fixed mic, a sweeping phase sound is audible.
No one has complained so far and I hope I'm the only one hearing it, but I'd like to fix it for the recording (at least).
So far I have only found static plugins like InPhase, Auto-Align, and so on, but these do not add or subtract delay dynamically with the moving mic. I'm sure it shouldn't be hard to do the following part (phase-locked-loop style of follow the leader), but I guess that smearing the difference in delay out smoothly could be a relatively heavy process.
I've been searching with various keywords like "Doppler compensation", "dynamic phase correction" and so, but maybe I'm using the wrong ones? The closest I could find was Pi but the description is a bit fuzzy about what it's actually doing.
A similar thing happens with a mic above a white-board and an overhead "shotgun" mic pointing to the whiteboard from the sealing. When the speaker walks to-and-fro between these two mics there would also be some phase shifting. Though I havn't been able to audibly identify these (yet) I'd still like to keep them in-phase.
It would be even greater if we could have such correction in the Live setting, but for now I'd settle with a plug-in when mixing down the final recording.