> The point is that, since the direct method is equivalent to
> a decoding for the set of directions used to compute the SHT
> (which will be the set for which you have HRIR), there is
> nothing 'ideal' or special to it. It is just one specific case
> of the decoder + virtual speakers method in disguise, and one
> that is very probably using way too many speakers.

Heh, you see that's exactly the opposite of how I would call it, the virtual 
loudspeaker+decoding method would correspond to the direct method "in disguise".

The order of the HRTFs is limited by their spatial/angular variability, and 
that would be estimated correctly by orthonormalization of the measurement 
directions on the SHT stage (as you mentioned). It has nothing to do with too 
many speakers etc.. The limiting happens inherently by the number of HOA 
channels, no matter if the SH coefficients of the HRTFs are of higher order, 
since only the ones corresponding to the HOA components would be used. That 
would equivalent of decoding with the minimum number of speakers for the 
certain HOA order and then doing the binaural conversion.

I will try to show with some plots that there is no error in the direct 
approach compared to a decoding stage. But it has to wait for a bit...

BR,
Archontis

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