Title
Possibilistic signal processing: How to handle noise?
Abstract
We propose a novel approach for noise quantifier at each location of a signal. This method is based on replacing the conventional kernel-based approach extensively used in signal processing by an approach involving another kind of kernel: a possibility distribution. Such an approach leads to interval-valued resulting methods instead of point-valued ones. We propose a theoretical justification to this approach and we show, on real and artificial data sets, that the length of the obtained interval and the local noise level are highly correlated. This method is non-parametric and has an advantage over other methods since no assumption about the nature of the noise has to be made, except its local ergodicity. Besides, the propagation of the noise in the involved signal processing method is direct and does not require any additional computation.
Year
DOI
Venue
2010
10.1016/j.ijar.2010.08.004
Int. J. Approx. Reasoning
Keywords
Field
DocType
choquet integral,signal processing,artificial data set,conventional kernel-based approach,local ergodicity,possibility distribution,local noise level,kernel methods,noise quantization,novel approach,involved signal processing method,possibilistic signal processing,noise quantifier,additional computation,kernel method
Signal processing,Value noise,Median filter,Noise (signal processing),Noise measurement,Algorithm,Quantization (signal processing),Kernel method,Mathematics,Gradient noise
Journal
Volume
Issue
ISSN
51
9
International Journal of Approximate Reasoning
Citations 
PageRank 
References 
4
0.45
13
Authors
3
Name
Order
Citations
PageRank
Kevin Loquin1505.74
O. Strauss215321.17
Jean-Francois Crouzet340.79