Blind Estimation and Suppression of Additive Spatially Correlated Gaussian Noise in Images

2021 ◽  
Author(s):  
Mykola Ponomarenko ◽  
Oleksandr Miroshnichenko ◽  
Vladimir Lukin ◽  
Karen Egiazarian
Keyword(s):  
Gaussian Noise ◽  
Blind Estimation ◽  
Spatially Correlated

scholarly journals Blind estimation of white Gaussian noise variance in highly textured images

2018 ◽  
Vol 2018 (13) ◽  
pp. 382-1-382-5 ◽  
Author(s):  
Mykola Ponomarenko ◽  
Nikolay Gapon ◽  
Viacheslav Voronin ◽  
Karen Egiazarian
Keyword(s):  
Gaussian Noise ◽  
White Gaussian Noise ◽  
Blind Estimation ◽  
Noise Variance

ON THE ASYMPTOTICS OF THE DENSITY IN PERTURBED SPDE'S WITH SPATIALLY CORRELATED NOISE

2006 ◽  
Vol 09 (02) ◽  
pp. 271-285 ◽  
Author(s):  
DAVID MÁRQUEZ-CARRERAS
Keyword(s):  
Gaussian Noise ◽  
Stochastic Partial Differential Equations ◽  
Taylor Expansion ◽  
Initial Conditions ◽  
Partial Differential Operator ◽  
Correlated Noise ◽  
Partial Differential ◽  
Spatially Correlated ◽  
Spatially Correlated Noise ◽  
Smooth Density

We consider a general type of perturbed stochastic partial differential equations: [Formula: see text] with null initial conditions, [Formula: see text] a second-order partial differential operator and [Formula: see text] a Gaussian noise, white in time and correlated in space. It has been proved that there exists a smooth density [Formula: see text], t > 0, x ∈ ℝd, for the law of the solution of above-mentioned equation. Here, we find the Taylor expansion of this density [Formula: see text] on the diagonal.

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