Why is distorted / quantized white noise still white noise?

1. Is quantization noise white noise?
2. What is the difference between white noise and white Gaussian noise?
3. Is Gaussian noise always white?
4. Why is it called as white noise and Gaussian noise?

Is quantization noise white noise?

Quantization Noise Power Spectral Density

Since the Fourier transform of a delta function is equal to one, the power spectral density will be frequency independent. Therefore, the quantization noise is white noise with total power equal to LSB²/12.

What is the difference between white noise and white Gaussian noise?

Gaussian noise means the probability density function of the noise has a Gaussian distribution, which basically defines the probability of the signal having a certain value. Whereas white noise simply means that the signal power is distributed equally over time.

Is Gaussian noise always white?

Noise having a continuous distribution, such as a normal distribution, can of course be white. It is often incorrectly assumed that Gaussian noise (i.e., noise with a Gaussian amplitude distribution – see normal distribution) necessarily refers to white noise, yet neither property implies the other.

Why is it called as white noise and Gaussian noise?

Evidently, the power spectrum of GWN is constant over all frequencies, hence the name "white noise," in analogy to the white light that contains all (visible) wavelengths with the same power.