Thanks a lot Bruce for the pointers,
I will check your work!

Regards,
Archontis

On 25 May 2016, at 19:42, Bruce Wiggins 
<bruce.wigg...@gmail.com<mailto:bruce.wigg...@gmail.com>> wrote:

Definately mentioned and looked at in
Wiggins, B. Paterson-Stephens, I., Schillebeeckx, P. (2001) The analysis of
multi-channel sound reproduction algorithms using HRTF data. 19th
International AES Surround Sound Convention, Germany, p. 111-123.

Wiggins, B. (2004) An Investigation into the Real-time Manipulation and
Control of Three-dimensional Sound Fields. PhD thesis, University of Derby,
Derby, UK. p. 103

See http://www.brucewiggins.co.uk/ for my look at the you tube
implementation which also assumes symmetry......

Cheers

Bruce

On Wed, 25 May 2016 16:38 Politis Archontis, 
<archontis.poli...@aalto.fi<mailto:archontis.poli...@aalto.fi>>
wrote:

Hi,

There has been some discussion before on B-format or HOA to binaural
filters (HRTF-based), which no matter if it goes through a virtual decoder
or with a direct HRTF-to-Bformat approach, two times the number of HOA
channels of filters are needed (so 8 for B-format, 18 for 2nd-order HOA, 32
for 3rd-order HOA etc. ).

Playing around a bit I realized that if the HRTFs are made left-right
symmetric, which makes sense to always force for non-individialized ones
(and also for individualized sometimes), then a smaller set of filters is
needed due to this left-right symmetry. For example for B-format binaural
filters, the W, X and Z channel would have exactly the same filters, while
the Y channel would have the same filter with a polarity inversion for one
ear with respect to the other. Hence 4 filters instead of 8.

Thinking about it, it simply makes sense, as the spherical harmonics are
themselves either symmetric or antisymmetric with respect to the x-z
(median) plane. This is also what makes mirroring of a HOA sound scene from
left to right for example, as easy as inverting certain HOA channels.

My question to any of the decoder developers on the list is if you have
seen that anywhere analyzed or mentioned in the context of binaural
decoding??

Many thanks,
Archontis Politis





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