On 2011-09-19, Fons Adriaensen wrote:

Though perhaps more surround than most would think. Come with me, here: if you take a look at the compensation circuitry which turns A-format into B-format within the conventional SoundField microphone, isn't it pretty much *exactly* a 3D Blumlein shuffler?

It's not the same. The shuffler is designed to process signals that have no significant level differences in the frequency range it handles, just the phase differences.

Like the soundfield above some 10kHz? No?

It is normally used with omni mics, or directional ones pointing in the same direction.

Yes. But the entirety of the soundfield approaches an omni mic at the very lowest frequencies. Between that 10-12kHz high range and the more usual 2-4kHz well-optimized range (or so), it's so'n'so. At the very highest frequencies it again approaches a monopole, because of the stupendeous amount of spatial aliasing, which then leads to Gerzon's idea that the energy analysis applies even off-centre, and in fact in many cases beyond that.

The capsules in an A-format mic are directional, also at those frequencies where phase difference become significant, and the basic A-B processing is based on that directionality while the phase differences are just a nuisance.

My problem is that I came to process/understand this acoustical problem from above/outside. I don't see it the way or many other on-list do.

What I see is that there is no such thing as a directional capsule. It's just one more imperfect electromechanical thingy out there. I'm for example perfectly sure that given the right apparatus, I could excite a *nasty* resonance in any of the capsules used to build a SoundField Mic. Even an "impossible" resonance within the SF itself, given some time and proper measurements.

The point with the A-format usual mic isn't about four separate, directional mics. It's about what Gerzon already said in one of his papers: Gaussian quadrature against *all* of the mic array, and then inversion into local soundfield.

Gerzon never talked about what to do with the stuff that goes against the local diffraction limit. What I suggest is that Blumlein Shuffling might have something to tell about that, perceptually. At the same time, we should be *very* careful about where to apply that sort of perceptual stuff, because we now know much more about both a) the physical stuff, and b) when, where and how the physical turns into the psychoacoustical.

For example, why don't you try a relative-far-field-detonation wave within an anachoic chamber. It's going to give you rather funky results towards on SF mic, when the explosion is held constant and the mic is slowly turned, wrt the source of the detonation.This

OTOH, the shuffler algorithm is exactly the one used to extract the Ambisonic X,Y,Z signals by mics using omni capsules on a rigid spere.

This is something totally new to me. Rigid sphere? Originally it was about an open 1D sphere (thus, "line segment", so how did it mutate into a rigid sphere in between, in the process?

I can get how it might have something to do with the rigid sphere as well, but I don't see the direct, formal, mathematical connection. Especially since since the basic topology of the problem seems to be somewhat off.
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