yinlin@korppi.tut.fi (Lin Yin) (03/14/91)
The following paper is available, and will appear in ICANN-91
proceedings.
ADAPTIVE BOOLEAN FILTERS FOR NOISE REDUCTION
Lin Yin, Jaakko Astola, and Yrj\"o Neuvo
Signal Processing Laboratory
Department of Electrical Engineering
Tampere University of Technology
33101 Tampere, FINLAND
Abstract
Although adaptive signal processing is closely related to neural
network in its principles, adaptive neural networks have yet to
demonstrate their adaptive filtering ability. In this paper, a new
class of nonlinear filters called Boolean filters are defined based on
the threshold decomposition. It is shown that the Boolean filters
include all median type filters. Two adaptive Boolean filtering
algorithms are derived for determining optimal Boolean filters under
the mean square error (MSE) criterion or the mean absolute error (MAE)
criterion. Experimental results demonstrate that the adaptive Boolean
filters produce quite promising results in image processing.
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---------Lin Yin