Thnak you very much Fons. I appreciate the explanation, it's very helpful
(It's also hard to find comprehensive literature about it). It would be
great to see those Python scripts, thank you for offering to send them.

Cheers,

Hector


On Tue, Apr 9, 2019 at 3:53 PM Fons Adriaensen <f...@linuxaudio.org> wrote:

> Hello Hector,
>
> > As quoted below, some time ago Fons kindly provided the equations to
> > extract virtual microphone signals from an ambisonic 1st order
> soundfield.
> > I was wondering, is there a set of available and known formulas to
> extract
> > virtual microphones from 2nd order recordings, taking advantage of the
> > higher spatial resolution?
>
> If you want first order virtual mics you can use the same formulas,
> just drop the higher order signals. Note that the equations you quoted
> are for FuMa normalisation, higher order signal sets today would probably
> use SN3D. For SN3D, remove the sqrt(2) in the first equation.
>
> If you want 2nd or higher order virtual mics things get a bit
> more complicated. Of course any polar pattern is just a weighted
> sum of the AMB components. But for higher order you get a lot more
> choices. Now if you limit the choice to axisymmetric patterns things
> get easier. Axisymmetric polar patterns are those that depend only
> on the angle between the axis of the mic and the direction of the
> source, i.e. you can imagine the pattern as something that is
> rotated around an axis in a given direction. All first order
> patterns are axisymmetric, but higher order ones don't have to be.
>
> But even for axisymmetric higher order patterns you need more than
> some simple equations that I could copy into an mailing list post.
> I could sent you some python code that computes the gain factors
> for higher order axisymmetric virtual mics. Let me know if you're
> interested.
>
> Ciao,
>
> --
> FA
>
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