I think so if the distributions of the noise are the same, e.g. they
are all white noise.
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