Title :
Statistical analysis for the convergence rate of signals to median filter roots
Author :
Mao, M. ; Gan, Z.J.
Author_Institution :
South China Sea Inst. of Oceanology, Chinese Acad. of Sci., Guangzhou, China
fDate :
7/1/1993 12:00:00 AM
Abstract :
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
Keywords :
convergence; filtering and prediction theory; signal processing; statistical analysis; convergence point; convergence rate; i.i.d signal; independently and identically distributed (i.i.d) signal; median filter roots; probability; signal processing; statistical analysis; Convergence; Filtering theory; Filters; Image processing; Noise level; Probability; Signal analysis; Signal processing; Smoothing methods; Statistical analysis;
Journal_Title :
Signal Processing, IEEE Transactions on
