On Sun, Jan 11, 2009 at 01:57:55PM +0100, Fons Adriaensen wrote:
[...]
> On a first mathematical level, you can see this as a sort
> of 'spectral' representation. Any cyclic function can be
> Fourier transformed into a set of harmonic frequencies,
> each having its level and phase. In similar way, the
> horizontal distribution of sound directions is a cyclic
> function, not of time but of the horizontal angle (azimuth)
> of the sources, and you can apply the same Fourier transform
> to it, which is how horizontal AMB works. The 'order' of an
> AMB system refers to how many 'harmonics' are used.
> For a periphonic (3D) sound distribution the 'function on
> a circle' becomes a 'function on the sphere', depending on
> two variables, azimuth and elevation. Because a sphere is
> not the same as a 2D hyperplane the corresponding spectral
> transform is not the 2D FT, but is defined by the set of
> 'spherical harmonics'. And here of course the more difficult
> maths start...
Man, you are my idol.
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Received on Sun Jan 11 16:15:02 2009
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