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Natural Science Forum / Physics / Optics / September 2004



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sum of signal noise ratio?

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hh - 11 Sep 2004 17:24 GMT
If you have two system, one SN is a, another is b. If they are summed, what is SN?
Assuming they can be summed for same properties.

Hui
Barry - 12 Sep 2004 00:17 GMT
SN_a+b = sqrt(a^2+b^2)?

Barry

> If you have two system, one SN is a, another is b. If they are summed, what is SN?
> Assuming they can be summed for same properties.
>
> Hui
Jim - 16 Sep 2004 00:33 GMT
I think so if the distributions of the noise are the same, e.g. they
are all white noise.
> SN_a+b = sqrt(a^2+b^2)?
>
[quoted text clipped - 4 lines]
> >
> > Hui
R?diger Paschotta - 30 Sep 2004 12:43 GMT
The correct answer depends on the concrete situation. For example, if
you have two electronic or optical amplifiers in a series, the S/N of
the amplified output may depend only on the first amplifier stage,
with only marginal influence of noise from the second stage. The S/N
ratio is then also determined only by the first stage.

You might want to have a look at the "Encyclopedia of Laser Physics
and Technology", www.rp-photonics.com/encyclopedia.html, which
contains a lot of information on noise in optics, e.g. in lasers and
amplifiers.

Rüdiger Paschotta
RP Photonics Consulting GmbH
www.rp-photonics.com

> > > If you have two system, one SN is a, another is b. If they are summed, what is SN?
> > > Assuming they can be summed for same properties.
> > >
> > > Hui
 
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