Title
Optimal nonlinear filter to remove random impulses from Gaussian noise
Abstract
This paper investigates the problem of removing random impulse noise from a white signal of Gaussian distribution. A nonlinear polynomial filter is used, whose coefficients are optimised using an exact least squares method. The method relies on exploiting the differing probability distributions of the impulsive noise and the Gaussian signal. The paper then looks at the effect of both the polynomial order and the normalised spike amplitude on the mean squared error and signal to noise ratio. The results are compared to the results found using a simple clipping filter. The results show that the optimal filter gives a much improved performance over the simple clipping filter in reducing the mean square error.
Year
DOI
Venue
2002
10.1109/ICASSP.2002.5744908
ICASSP), 2002 IEEE International Conference
Keywords
Field
DocType
gaussian distribution,signal to noise ratio,probability distribution,noise,least square method,nonlinear filter,filtering,mean square error,gaussian noise,impulse noise,polynomials
Control theory,Salt-and-pepper noise,Artificial intelligence,Nonlinear filter,Least mean squares filter,Gaussian filter,Wiener filter,Pattern recognition,Algorithm,Kernel adaptive filter,Gaussian noise,Mathematics,Filter design
Conference
Volume
ISSN
ISBN
2
1520-6149
0-7803-7402-9
Citations 
PageRank 
References 
0
0.34
1
Authors
3
Name
Order
Citations
PageRank
Scott V. Notley100.34
James M. Harte252.23
Stephen J. Elliott332783.39