J. Astola et Y. Neuvo, AN EFFICIENT TOOL FOR ANALYZING WEIGHTED MEDIAN FILTERS, IEEE transactions on circuits and systems. 2, Analog and digital signal processing, 41(7), 1994, pp. 487-489
We present an efficient method for analyzing the statistical propertie
s of weighted median filters. It is based on a fast algorithm for comp
uting the Hamming distribution of the zero-set of the defining positiv
e Boolean function. We also show that the standard median filter is in
a statistical sense optimal among the stack filters defined by self d
ual positive Boolean functions.