Is Gaussian Noise the Same as White Gaussian Noise? Explaining the Difference

Hello
I have a question: is Gaussian noise white Gaussian noise? Could someone briefly explain what the difference is? :?:

Because I`m already confused

Hello!
In Wikipedia they write:
http://en.wikipedia.org/wiki/Additive_white_Gaussian_noise
it is broadband noise or otherwise "white" noise, with constant spectral density (expressed in Watts per Hertz within the band under consideration) i Gaussian amplitude distribution .

Gaussian noise can come from many natural sources: thermal vibrations of the atomic lattice of the antenna material (called thermal or Johnson-Nyquist noise), the radiance of a black body, and also the Sun.

Therefore, there may also be "pink" noise (with a "privileged" frequency band) and a Gaussian distribution of amplitudes, as well as "white" noise with a non-Gaussian distribution (e.g. due to the operation of an amplitude limiter or, for example, a logarithm amplifier).

On this topic, Google gives you over 1.1 million pages in English...

The first thing I did was to use Google/Wikipedia and the books I have:

and I`m confused (and I`ve been sitting on it for about 2 hours now and reading it either I`m explaining it wrong or I didn`t understand something [I didn`t have a course like Signal Analysis - or similar and I have to learn it myself, so please be understanding])

because in:
http://en.wikipedia.org/wiki/Gaussian_noise

I found something like this:

Quote:

"Gaussian noise is sometimes misunderstood to be white Gaussian noise, but this is not the case."

Moving on

in http://en.wikipedia.org/wiki/White_noise I found:

Quote:

It is often incorrectly assumed that Gaussian noise (ie noise with a Gaussian amplitude distribution — see normal distribution) is necessarily white noise. However, neither property implies the other. Gaussianity refers to the way signal values are distributed, while the term `white` refers to the shape of the power spectral density. White noise has a flat spectrum, similar to that of white ligh, hence the name.

so should I understand that White Gaussian Noise is White Noise in the appropriate distribution of occurrences (hence the word gaussian)? And that White noise is not the same as Gaussian noise?

because I don`t know what this ambiguity is (what makes them different)

Please give me a relatively simple explanation

Look again at my first and third paragraphs:

- the term "white" refers only to spectral distribution , does not say anything about the amplitudes, so white noise remains white after passing through, for example, a logarithmic amplifier, but after passing through a selective amplifier there is no white noise anymore, it is "pink" or any other "colored" noise;

- the term "Gaussian" refers to amplitude distribution noise components, i.e. that some instantaneous amplitude is the most probable, and smaller and larger amplitudes have a probability consistent with the Gaussian distribution, but nothing is said about the spectral distribution, which means that Gaussian noise after passing through a linear selective amplifier remains Gaussian , while passing through a logarithm amplifier or amplitude limiter causes the noise to have a non-Gaussian distribution.

I read your words carefully 10 times to be sure and understood what you said. Thank you :D

One more question just to be sure:

Can you say that:
"HV is like a special case of HV with a Gaussian amplitude distribution and vice versa with GN with HV spectrum"

Exactly! It belongs to both classes at the same time.

Oberon6:
Gaussian noise is one in which the samples are independent random variables with a uniform Gaussian distribution. However, Gaussian white noise is Gaussian noise in which the average value of this common Gaussian distribution is also 0.
Regards,
Maciej

I have a question that will finally resolve this question.

To sum up, white noise is one whose signal spectrum is flat, i.e. the amplitudes of the signals constituting the spectrum are the same and theoretically range from 0 to infinity (in fact, some range). Now, if we take into account Gaussian white noise, the spectrum of such a WGN looks like a normal distribution with frequencies from a previously defined frequency range. That`s right ?

No, the distribution of instantaneous amplitudes has a Gaussian distribution, in the frequency domain there is a, let`s say, "uniform" distribution.