On 2017-01-09, Stefan Schreiber wrote:

Sorry, correction:

"I must again ask:  What does "vbap" actually mean in your question?" etc.

It refers to Ville Pulkki's dissertation at Aalto University (then Helsinki University of Technology, fi: Teknillinen korkeakoulu). http://lib.tkk.fi/Diss/2001/isbn9512255324/isbn9512255324.pdf

Basically VBAP (vector base amplitude panning) is a form of equal power weighted amplitude panning. Just as your normal stereo panning law would be, only it's in 3D, over widely varying speaker geometry.

Even if the idea is rather simple, nobody for some reason did it before Ville, really. Definitely didn't take up the task of psychoacoustic evaluation of the idea.

By Ville's work, it seems to work out better than expected. I wouldn't be surprised if the likes of Dolby Atmos actually used precisely the VBAP panning law in order to place their discrete sources.

The critique I'd have for such panning laws is that they don't really respect the ambisonic/Gerzon theory, especially at the low frequencies. In essence, they work, and necessarily would *have* to work in the high frequency, (ambisonically speaking) high order,sparse array limit. Which is why they mostly work for common music and speech signals.

However, they fail to work general speaker arrays fully. Especially at the lower frequencies. Ambisonically speaking, where we'd go with a holistic, whole array, directionally averaged velocity decode.
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