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An efficient tool for analyzing weighted median filters

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2 Author(s)
Astola, J. ; Signal Process. Lab., Tampere Univ., Finland ; Neuvo, Y.

We present an efficient method for analyzing the statistical properties of weighted median filters. It is based on a fast algorithm for computing the Hamming distribution of the zero-set of the defining positive Boolean function. We also show that the standard median filter is in a statistical sense optimal among the stack filters defined by self dual positive Boolean functions

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Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on  (Volume:41 ,  Issue: 7 )