Or http://www.brucewiggins.co.uk/?page_id=3 😉

On Wed, 25 May 2016 17:57 Marc Lavallee, <m...@hacklava.net> wrote:

>
> 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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