On Tue, Nov 02, 2010 at 04:07:40PM -0700, Eric Benjamin wrote:
> I don't know how to compute the gain factors for 3rd order other than by
> numerical methods. I'm aware that Moreau published the gains of (1.000,
> .862,
> .612, and .305) but I don't know if those are correct or if there was a
> general
> solution published.
The gain factors provided by Daniel (and Moreau) are a general solution.
For 3D, rE it involves Legendre functions:
rE = largest root of P_{M+1}
g(m) = P_m(rE)
which also means g(1) = rE
I've repeated these calculations, getting the same numbers.
> I'm willing to give the computation a try, using my own
> crude methods (stylus and clay tablets), but I wouldn't be able to start
> realistically until after the AES Convention.
Please do !
> It's certainly an interesting problem! Have you got some 3rd-order 3D
> Ambisonic
> recordings to go with your Icosahedron?
Unfortunately I don't have a real icosahedron... The calculation is just
a test case for the software. But I need to compute some 3rd order 3D
decoders in the coming days, so the software should be in a state I trust.
And currently I don't trust it, even if it produces the expected result
for all other test cases.
I do have some (panpotted) 3D, 3rd order material, and can make more if
required.
--
FA
There are three of them, and Alleline.
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