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Old 12-14-2009, 03:37 AM
glen herrmannsfeldt
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Default Re: squared mean vs. mean squared

dvsarwate <[email protected]> wrote:
> On Dec 11, 12:54?pm, Frank Chang <etaght...@gmail.com> wrote:


>> Suppose I have two completely uncorrelated signals A and B.

(snip)

> There are multiple meanings to the phrase "uncorrelated
> signals" some of which make the question asked a
> "Which came first, the chicken or the egg?" type of
> question. In one meaning, signals are said to be
> uncorrelated **exactly** when <A> * <B> = <A * B>
> holds. So, what does the OP understand by the
> phrase "uncorrelated signals" or "I have two
> completely uncorrelated signals"? In what sense
> are they uncorrelated? What does the rest of the
> comp.dsp group understand by this phrase or
> these phrases?


Physics usually uses coherent/incoherent, with the saying:

"For coherent sources add the amplitude, for incoherent sources
add the intensities" (where the "amplitude" includes the appropriate
phase.)

That works in optics, and in general quantum mechanics for the
QM wave function. Otherwise, there is the phrase "statistically
independent" which also describes a similar idea.

-- glen
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