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Article #314

Sampled White Gaussian Noise

#314
From: dsimon
Date: Fri, 02 Oct 1992 17:06
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The variance of sampled noise increases with the sampling frequency!

Mathematically it is not so difficult to understand, but I can't
understand it intuitively.  Why would the variance change with the
sampling frequency?

Consider a gaussian white noise process with 2-sided PSD N/2.
Then if we take samples of the noise with sampling frequency f,
the variance of each sample is Nf/2.  Can anyone expain this intuitively?
---------
Dan Simon
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Path: arc1-ca.pugleaf.net!sparky!uunet!news.claremont.edu!nntp-server.caltech.edu!elroy.jpl.nasa.gov!usc!venice!atlas!dsimon
From: dsimon@atlas.nafb.trw.com
Newsgroups: sci.engr,sci.math
Subject: Sampled White Gaussian Noise
Message-ID: <1379.2acc1109@atlas.nafb.trw.com>
Date: 2 Oct 92 09:06:16 PST
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