In signal processing theory, Gaussian noise, named after Carl Friedrich Gauss, is a kind of signal noise that has a probability density function (pdf) equal to that of the normal distribution (which is also known as the Gaussian distribution).[1][2] In other words, the values that the noise can take are Gaussian-distributed.
The probability density function of a Gaussian random variable is given by:
where represents the grey level, the mean grey value and its standard deviation.[3]
A special case is white Gaussian noise, in which the values at any pair of times are identically distributed and statistically independent (and hence uncorrelated). In communication channel testing and modelling, Gaussian noise is used as additive white noise to generate additive white Gaussian noise.
In telecommunications and computer networking, communication channels can be affected by wideband Gaussian noise coming from many natural sources, such as the thermal vibrations of atoms in conductors (referred to as thermal noise or Johnson–Nyquist noise), shot noise, black-body radiation from the earth and other warm objects, and from celestial sources such as the Sun.
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In signal processing theory, Gaussiannoise, named after Carl Friedrich Gauss, is a kind of signal noise that has a probability density function (pdf)...
of white noise). In particular, if each sample has a normal distribution with zero mean, the signal is said to be additive white Gaussiannoise. The samples...
Additive white Gaussiannoise (AWGN) is a basic noise model used in information theory to mimic the effect of many random processes that occur in nature...
In mathematics, a Gaussian function, often simply referred to as a Gaussian, is a function of the base form f ( x ) = exp ( − x 2 ) {\displaystyle f(x)=\exp(-x^{2})}...
actually a set of parameters. For example, if the mixture components are Gaussian distributions, there will be a mean and variance for each component. If...
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In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued...
same for any s). The increment process X(t) is known as fractional Gaussiannoise. There is also a generalization of fractional Brownian motion: n-th...
subject. Principal sources of Gaussiannoise in digital images arise during acquisition. The sensor has inherent noise due to the level of illumination...
sequentially denoise images blurred with Gaussiannoise. The model is trained to reverse the process of adding noise to an image. After training to convergence...
In probability theory and statistics, a Gaussian process is a stochastic process (a collection of random variables indexed by time or space), such that...
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that much better than Gaussian blur for high levels of noise, whereas, for speckle noise and salt-and-pepper noise (impulsive noise), it is particularly...
of intensity values from nearby pixels. This weight can be based on a Gaussian distribution. Crucially, the weights depend not only on Euclidean distance...
consists of an unknown constant A {\displaystyle A} with additive white Gaussiannoise (AWGN) w [ n ] {\displaystyle w[n]} with zero mean and known variance...
are trained with the objective of removing successive applications of Gaussiannoise on training images, which can be thought of as a sequence of denoising...
white Gaussiannoise removed is shown below the original image. When filtering any form of data it is important to quantify the signal-to-noise-ratio...
dither signal for audio. Gaussiannoise requires a higher level of added noise for full elimination of audible distortion than noise with rectangular or triangular...
Noise pollution, or sound pollution, is the propagation of noise or sound with ranging impacts on the activity of human or animal life, most of which are...
GaussiannoiseGaussian beam Gaussian blur, a technique in image processing Gaussian fixed point Gaussian random field Gaussian free field Gaussian integral...
typically making shot noise in actual observations indistinguishable from true Gaussiannoise. Since the standard deviation of shot noise is equal to the square...
processing, a Gaussian filter is a filter whose impulse response is a Gaussian function (or an approximation to it, since a true Gaussian response would...
A noise barrier (also called a soundwall, noise wall, sound berm, sound barrier, or acoustical barrier) is an exterior structure designed to protect inhabitants...
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