Unfortunately, the definition of the spherical harmonics given in the
document is wrong.  The argument to the associated Legendre polynomial
should not be multiplied by abs(m).  The definition of T is sloppy as
well.  Using the document's notation it should be

  N(l, abs(m)) * P(l, abs(m), sin(A)) * T(m, E)

with T(m,x) is sin(-m*x) for m<0, cos(m*x) otherwise.

The way it is specified in the document, m is always positive inside T.

As an exercise in learning SymPy (symbolic python), I've written a library
that derives the polynomials for the spherical harmonics in cartesian and
spherical coordinates.   I'll post a link later today.


Aaron Heller (hel...@ai.sri.com)
Menlo Park, CA  US

On Thu, Jan 14, 2016 at 5:55 AM, Marc Lavallée <m...@hacklava.net> wrote:

>
> It's about time!
>
> I made my little effort last year, with an experiment on
> http://ambisonic.xyz, but I did not updated it since. It gives me hope
> that ambisonics could become the "de facto" standard for 360 videos, or
> at least a viable and supported option. This a serious opportunity to
> promote ambisonics, and the sursound community should help to define
> the RFC.
>
> --
> Marc
>
> Le Thu, 14 Jan 2016 08:13:51 -0500,
> Ben Bloomberg <b...@mit.edu> a écrit :
>
> > Check it out!
> >
> https://github.com/google/spatial-media/blob/master/docs/spatial-audio-rfc.md
> >
> > Ben
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