On 2012-09-12, Augustine Leudar wrote:

thanks Fons

Adding to Fons, who is pretty much always on the mark...

another question is - is our auditory system able to take account of the curvature of a wavefront to estimate the distance of a source or does it only use other cues such as the spektral content of the sound etc etc

A stationary listener will only sense the curvature if the source is quite
near, less than half a meter or so, depending on the spectral content.

The reason this can be heard is because it necessarily gets reflected into HRTFs and any other free field description of how people hear sound. Including both WFS and ambisonic. In the free field, HOA once again reduces to a spherical version of WFS, so that they give the similar kinds of clues to a single central listener.

The area where they do so best differs, as do the precise errors they produce outside of the sweet area: for WFS the sweet area is a narrow tube at any angle, at a fixed distance, from the line array, and if more lines are used to break the symmetry, then in a single point. In the HOA case, you always have just a single sweet point from the start even in pantophony, but the errors around it are circularly symmetric, and much more better behaved. It's just that while ambisonic is easier to do at low order, it's suddenly much more computationally and physically challenging to do to orders which approach true holophony; even just pantophonically.


For larger distances a moving listener can detect the curvature, but only indirectlty as the apparent direction of the source changes.

As I said earlier, that is usually dubbed "auditory parallax". In analogy with "visual parallax" where you can infer lots of stuff by moving and looking at stuff from different angles. The analogy is perfect: you can't infer that stuff even with your eyesight simply by rotating your head; you actually have to move.

Also note that 2-D WFS systems are optimized for a particular speaker line to listener distance, it's not possible to get exact wave synthesis every- where (it is possible for 3-D systems).

I don't remember who it was who once lectured about these systems here in Finland, on TKK, but I think I've talked about this problem in the past: he claimed that it was a basic problem of ambisonic that there is a distance term in the equation. But that then only goes for pantophony, not periphony. It's one of those funky little low dimensional topology thingies which snipes you in the back: in 3D, if you do the line array of WFS or the circle of pantophonic ambisonic, you will necessarily suffer from that precise 1/r attenuation in distance, even in the horizontal plane (WTF becomes a line system, ambisonic becomes a point).

But if you add the third dimension, as ambisonic easily -- even canonically -- does and WFS does not, that problem goes away not only in the horizontal plane but in a full sphere around the sweet spot.

And anyway the things will not work correctly if you are too close, less than 5 times the distance between the speakers or so.

Exactly as Fons says: there are going to be interference problems there even at the lowest frequencies. Though I should add, there are going to be interference problems anyway, which you will have to psychoacoustically optimize away using a ton of signal processing. As Ralph or somebody once suggested, a well-temporally-shaped 20ms burst of white noise convolved with the frequencies above the temporal Nyquist limit of the right ought to do the job.

Not really sure if Ville Pulkki's research ever got to this one, but it too could be relevant, once again.
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