You can get it here:
http://www.ambisonia.com/Members/DrWig/bwphdthesis.pdf/


On Wed, 25 May 2016 16:50:38 +0000
Politis Archontis <archontis.poli...@aalto.fi> wrote:

> 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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