Title :
An efficient tool for analyzing weighted median filters
Author :
Astola, J. ; Neuvo, Y.
Author_Institution :
Signal Process. Lab., Tampere Univ., Finland
fDate :
7/1/1994 12:00:00 AM
Abstract :
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
Keywords :
Boolean functions; digital filters; filtering and prediction theory; statistical analysis; Hamming distribution; fast algorithm; positive Boolean function; self dual positive Boolean functions; stack filters; statistical properties; weighted median filters; zero-set; Availability; Boolean functions; Distributed computing; Filtering theory; Finite impulse response filter; Image processing; Nonlinear filters; Passband; Signal processing algorithms; Statistics;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
