On Wed, Apr 04, 2012 at 09:59:45AM -0700, Aaron Heller wrote:
 
> It is very simple...  simulate Blumlein pickup and playback though
> speakers at +/- 45 degrees, low-pass at 800 Hz, and use
> cross-correlation to estimate the ITDs, and compare to the natural
> hearing case.  The result is here
> 
>    http://www.ai.sri.com/ajh/ITDs_Blumlein_vs_Natural/
> 
> I was pleasantly surprised that such a simple experiment yield such a
> clean result.
> 
> The 800 Hz LPF is needed to get reliable results from the
> crosscorrelation.  As you point out, humans may use the higher
> frequency information (I'd like to see a citation for that), but the
> point here is that accurate ITDs are present in the ear signals in
> stereo playback even though the soundfield has been sampled at a
> single point in space.

This is to be expected. For the frequency range considered, and the
distance between the ears of human head, the time differences amount
to unambiguous phase differences. Correct reproduction of the field's
pressure and gradient is all that is required to preserve these in the
reconstructed field. First order does this, up to around 1/4 wavelenght
from the center.

At higher F it's the time difference between the envelopes of the
transients at the L and R ears that matters. Clearly there's no
problem for sources at +/- 45 degrees, as these will be reproduced
by a single speaker. At other angles it may be interesting to 
consider the shape of a transient envelope in typical real sounds.
I'd assume this will be some decaying exponential. Then all depends
on how the brain interprets the timing of the combination of two
such envelopes - one from the speaker at same side as the ear, one
delayed from the other. The two will merge into a single event as
the delay is very short. 

Ciao, 

-- 
FA

A world of exhaustive, reliable metadata would be an utopia.
It's also a pipe-dream, founded on self-delusion, nerd hubris
and hysterically inflated market opportunities. (Cory Doctorow)

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