Re: [LAU] Where do the 60 degrees for stereo come from?

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To: Fons Adriaensen <fons@...>, <linux-audio-user@...>
Date: Monday, June 20, 2011 - 9:41 pm

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On Fri, Jun 17, 2011 at 12:48 PM, Fons Adriaensen wrote:

> For a real single sound source the direction of the

This doesn't matter to the rest of your analysis/description, but I'd offer
a correction to this paragraph.

V(x,t) is proportional to the spatial gradient of P(x,t).

Note that this means pressure and velocity waves are 90 degrees out of sync
with each other.
One clear case this matters is the boundary conditions at walls. The volume
velocity goes to 0 at the wall (Dirichlet), but the pressure has the
requirement that its 1st derivative is 0 (Neumann).

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On Fri, Jun 17, 2011 at 12:48 PM, Fons Adriaense=
n <fons@linuxaudio.org> wrote:

For a real single sound source the direction of the
vector V(t) is that towards the source, and P(t) and
V(t) in any given point are closely related. They are
of course measured in different units (Pascal, and
meters/second resp.), one is a scalar and the other
a vector, but they are proportional. This doesn't=
matter to the rest of your analysis/description, but I'd offer a corre=
ction to this paragraph.V(x,t) is proportional to the spatial gradi=
ent of P(x,t).
Note that this means pressure and velocity waves are 90 degrees out of =
sync with each other.=A0 One clear case this matters is the boundary co=
nditions at walls.=A0 The volume velocity goes to 0 at the wall (Dirichlet)=
, but the pressure has the requirement that its 1st derivative is 0 (Neuman=
n).=A0
=A0

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Messages in current thread:
Re: [LAU] Where do the 60 degrees for stereo come from?, Fons Adriaensen, (Thu Jun 16, 8:35 pm)
Re: [LAU] Where do the 60 degrees for stereo come from?, Philipp Überbacher, (Fri Jun 17, 8:58 am)
Re: [LAU] Where do the 60 degrees for stereo come from?, Fons Adriaensen, (Fri Jun 17, 5:48 pm)
Re: [LAU] Where do the 60 degrees for stereo come from?, Philipp Überbacher, (Fri Jun 24, 11:58 am)
Re: [LAU] Where do the 60 degrees for stereo come from?, Fons Adriaensen, (Fri Jun 24, 1:13 pm)
Re: [LAU] Where do the 60 degrees for stereo come from?, Charles Henry, (Mon Jun 20, 9:41 pm)
Re: [LAU] Where do the 60 degrees for stereo come from?, Fons Adriaensen, (Mon Jun 20, 10:33 pm)
Re: [LAU] Where do the 60 degrees for stereo come from?, Philipp Überbacher, (Thu Jun 16, 8:56 pm)
Re: [LAU] Where do the 60 degrees for stereo come from?, Julien Claassen, (Thu Jun 16, 8:21 pm)
Re: [LAU] Where do the 60 degrees for stereo come from?, Philipp Überbacher, (Thu Jun 16, 8:41 pm)
Re: [LAU] Where do the 60 degrees for stereo come from?, Karl Hammar, (Fri Jun 17, 12:45 pm)
Re: [LAU] Where do the 60 degrees for stereo come from?, Monty Montgomery, (Thu Jun 16, 8:43 pm)