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Discussion Groups | Comp.DSP | question about white gaussian noise

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question about white gaussian noise - bamse - 2004-05-10 01:40:00

does additive white gaussian noise only change the amplitude of a signal or
does it change both amplitude and phase?


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Re: question about white gaussian noise - Rune Allnor - 2004-05-10 05:27:00



"bamse" <b...@kyllingen.dkkkk> wrote in message news:<6BEnc.4$N...@news.get2net.dk>...
> does additive white gaussian noise only change the amplitude of a signal or
> does it change both amplitude and phase?

There are two ways of looking at Gaussian noise:

Time domain: Random numbers are drawn from a Gaussian distribution
and added to the samples in the signal, thus "changing the amplitude"
of the individual samples.

Frequency domain: A signal with specified frequency magnitude, given 
by the noise autocorrelation function, and random phase response is 
added to the signal spectrum, thus "changing the phase" of the spectrum.

Rune
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