Interesting, Let us know if you do find this, it's interesting. "Impossible" seems a bit much tough, maybe impossible for this level match to be mathematically exact, we can say that, but if with a spl meter I take an A weighted SPL Pickup of fullband signal of different speakers and they measure the same after weighting can't we say they are "level" matched? At least perceptually? Now if we can theoretically do this, Why couldn't we be able to do this with a measuring head? After all it's just measurment mics in both cases?
We can measure amplitude. Determine what is "loudness" is a perceptual thing. With our hearing being highly non-linear in this regard, the matching is non-trivial. The matching using noise is an approximation, not perfect matching.
Here are a few methods used for level matching in research papers:
Modeling Perceptual Characteristics of
Loudspeaker Reproduction in a Stereo Setup
CHRISTER P. VOLK,1,2 AES Student Member
(
[email protected])
, SØREN BECH,2,3 AES Fellow, TORBEN H. PEDERSEN1,
AND FLEMMING CHRISTENSEN2
Characterizing the Amplitude Response of
Loudspeaker Systems
Allan Devantier
Harman International Industries Inc., Northridge, CA, 91329, USA
The Correlation Between Distortion Audibility and Listener Preference in Headphones
Steve Temme1, Sean E. Olive2, Steve Tatarunis3, Todd Welti4, and Elisabeth McMullin5