OK, this is getting technical, but where do the nonlinear effects come from? As 
I understand it, nonlinearity happens when the response is amplitude  
dependent. Reflections from hard surfaces, even complicated reflections, will 
be linear. Reflections from softer surfaces, say human bodies, may be 
nonlinear. Do the nonlinearities come from the bodies of the players?

Beats, the wah-wah from different frequency sources come from the nonlinearity 
of the human ear. Multiphonics come from the nonlinearities of the player.

Herb Foster



________________________________
From: "[email protected]" <[email protected]>
To: [email protected]
Sent: Wed, February 17, 2010 7:02:57 PM
Subject: [Hornlist] Empirical horn transfer function

Professor Baker  - 

this is an interesting idea and I say bravo for thinking along such lines in 
response to a common, practical problem.  I think such mucking around in the 
frequency domain is commonly done in generating/editing audio for certain 
effects, and in many recording and production circumstances.  

The problem is with this idea applied to recording is that the acoustic 
environment around a horn (the room) and its interaction with the horn and the 
microphones is fundamentally NOT a linear system.   There are all kinds of 
nonlinear coupling and effects in such a complex acoustic system.  Probably to 
a weak first-order approximation this transfer-function could be made, but I 
believe your suggestion relies on clean, linear-superposition of the behind and 
front acoustic signals, which would not be very accurate in a real situation.  
Check out the literature on acoustic source-separation and you'll find this 
problem ubiquitous in similar tasks. 

just my .02 cents.  this would not be hard to mock-up in MATLAB sometime and 
try it out. 

any other thoughts anyone? 

david - physics and horn performance student


      
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