Explanation
Gaussian noise is properly defined as the noise with a Gaussian amplitude distribution. This says nothing of the correlation of the noise in time or of the spectral density of the noise. Labeling Gaussian noise as white describes the correlation of the noise. It is necessary to use the term white Gaussian noise to be precise. Gaussian noise is sometimes equated to white Gaussian noise, but this is not necessarily the case.
Read more about this topic: Gaussian Noise
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