I dunno if Dirac is doing anything analogous to what's in that paper, but "correcting" the impulse response is indeed one of the things Dirac attempts to do.
Yep. Most all FIR correction filter usage appears to come from some form on impulse inversion. Certainly so for automatic type corrections.
I think Fulcrum Acoustic's 'Temporal EQ' as they call it, is one of the simplest impulse inversions out there. It's been around for quite a while...like 2005/6.
A short impulse inversion, of a horn with a compression driver. Corrects internal horn reflections.
Something that has high value for all horn/CD combos, home audio and PA, imo.
Dirac I think, is quite a bit more complicated. We know they tout mixed phase FIR utilization. I've been trying to determine just how, by making transfer functions of the electrical filters Dirac generates. It appears that in addition to whatever frequency domain corrections are needed (the usual min phase smoothing), Dirac attempts to match the lower frequency phase response of one side to the other. On mine, Left side gets left pretty much alone, and Right gets its phase rotations aligned to more closely match Left.
So it does not appear to me that Dirac is trying to reduce phase rotation; it appears it's trying to match existing rotations side to side.
That said, I could be off about it not trying to reduce phase rotation, because my speakers much have less phase rotation than is common. I'll need to give Dirac a problem child to really find out Lol
Anyway, just saying I agree with your take about FIR corrections being rooted in impulse inversion.