Doepfer

>
> In your example, what are the "pitch parts" you're separating when 
analyzing the two 
> oboes? SINE waves - right?  Not square or some other arbitrary 
function. 

The "oboe function" (steady state). I picked oboe, because it's not 
a sine. Each part is not a sine, yet the mind is easily able to 
separate them, and not in terms of equivalent sums of bell sounds. 
Just an example of how the ear is not hobbled by only being able to 
separate sounds into sines.


>Which is not what the poster asked.

Yeah, I went from the specific case he mentioned... using the set of 
square waves as a basis... to a set of *any* signals as a basis. And 
this is exactly what the paper addresses (well there are some 
assumptions about the candidate basis functions). It even goes so 
far to use tri waves as an example. There are even oboe graphs in 
there! It's a math paper in IEEE with music! Ha ha. 

> 
> I believe the poster was wondering if any function can be 
transformed from a non-circular 
> plane - like a square or rectangular one. Maybe it's just my 
limited knowledge, but I 
> haven't heard of such a thing. I can try to *approximate" a sine 
from a square plane...

This is exactly what the paper is addressing.

Doug