A Gaussian noise is a type of statistical noise in which the amplitude of the noise follows that of a Gaussian distribustion whereas additive white Gaussian noise is a linear combination of a Gaussian noise and a white noise (white noise has a flat or constant power spectral density).
for a white noise the psd is flat i.e the distribution of energy over central freq is 1 and for gaussian noise as the name says the psd is normally distributed.
Gaussian noise is similar to white noise, but it falls within a narrower range of frequencies. In communications, it is produced by the movement of electricity through the line. You see and hear that when you have your television on an empty channel. Within photos and videos, Gaussian noise is in the form of random patterns, and this is what makes things look slightly blurry.
An AWGN channel adds white Gaussian noise to the signal that passes through it.
"Circular" means the variance of the real and imaginary parts are equal. "White" refers to the fact that the power spectral density of the noise is flat across the whole frequency spectrum. This means that its autocorrelation is a Dirac-delta at t=0 (so its covariance matrix will show noise powers on the diagonal elements and zeros elsewhere). "Gaussian" means the probability distribution of the amplitudes of the noise samples is Gaussian.
20kbps
The Gaussian distribution is the same as the normal distribution. Sometimes, "Gaussian" is used as in "Gaussian noise" and "Gaussian process." See related links, Interesting that Gauss did not first derive this distribution. That honor goes to de Moivre in 1773.
Thermal noise occurs due to the motion of millions of electrons in a object. Due to the central limit theorem, the total effect can be modeled as a Gaussian distributed random variable with zero mean and N_0/2 variance.
Takeyuki Hida has written: 'Complex white noise and infinite dimensional unitary group' -- subject(s): Gaussian processes, Linear algebraic groups, Unitary groups, Wiener integrals 'Mathematical Approach to Fluctuations: Astronomy, Biology and Quantum Dynamics : Proceedings of the Iias Workshop' 'Complex white noise and infinite dimensional untrary group' -- subject(s): Gaussian processes, Random noise theory, Stochastic processes 'Stationary stochastic processes' -- subject(s): Stationary processes
G. Kallianpur has written: 'White noise theory of prediction, filtering, and smoothing' -- subject(s): Gaussian processes, Kalman filtering, Prediction theory
Percy A. Pierre has written: 'Characterizations of Gaussian random processes by representations in terms of independent random variables' -- subject(s): Gaussian processes, Random noise theory
Thermal noise occurs in all transmission media and all communication equipment, including passive devices. It arises from random electron motion and is characterized by a uniform distribution of energy over the frequency spectrum with a Gaussian distribution of levels. Noise. Impulse noise is noncontinuous, consisting of irregular pulses or noise "spikes" of short duration, broad spectral density, and relatively high amplitude.