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Re: Applying Hilbert spectrum theory

Subject: Re: Applying Hilbert spectrum theory
From: "Lew Proudfoot" lewis_s_proudfoo=
t
Date: Thu May 7, 2009 7:53 am ((PDT))

The techniques=A0described in the latest papers I can find show analysis=A0=
in two dimensions, time and frequency, and=A0are essentially ways to deompo=
se the=A0percieved signal into sets of functions that could generate that s=
ignal.=A0 Very useful in the earthquake example the original paper analyzes=
=A0in depth.=A0 The problem, as Greg noted in his response last night, is t=
hat with two syrinxes, you have twosources.=A0 So you have harmonics of the=
 sources, but you also have the interaction of those sources, adding and su=
btracting, and the=A0harmonics of those primary interactions, each of which=
 also interact, and those interactions will also, theoretically at least, h=
ave harmonics. Sorting all that out to identify primary sources of the two =
sounds doesn't seem to have been solved, according to the literature search=
 I did recently.

I have to add I am by no means a specialist in this area, but the math that=
=A0I could see=A0was looking at a signle source reacting in a complex envio=
rnment, and wouldn't=A0handle two, that I coudl see.=A0 If there is another=
 extension of this technique, this would lead to very interesting results, =
opening new=A0ways to look at identification and maybe even familial associ=
ation, if I'm not reaching too much.

Anyway, if anybody has seen something like this, I think there would be a l=
ot of interest in it!
=A0Lew Proudfoot
The Wind in My Face
Vancleave, MS




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