Statistical analysis for the convergence rate of signals to median filter roots
M. Mao, Zhangwei Gan · IEEE Transactions on Signal Processing · 1993
The convergence behavior of the median filter is analyzed. A concept called convergence point is used to characterize the convergence rates. The results show that any independently and identically distributed (i.i.d) signal will become nearly stable after three or four passes of median filter with a large probability. Simulations are provided to illustrate the theoretical developments.>