M. Mao et Zj. Gan, STATISTICAL-ANALYSIS FOR THE CONVERGENCE RATE OF SIGNALS TO MEDIAN FILTER ROOTS, IEEE transactions on signal processing, 41(7), 1993, pp. 2499-2502
In this correspondence, the convergence behavior of the median filter
has been analyzed. A new concept called convergence point has been use
d to characterize the convergence rates. The results show that any ind
ependently identically distributed (i.i.d.) signal will become nearly
stable after 3 or 4 passes of median filter with a large probability.
Simulations are provided to illustrate the theoretical developments.