Analysis of median filter

Median filters introduced by Tukey found application in image processing. Several authors have considered the statistical and deterministic properties and have discussed some methods of analyzing. However, median filter being nonlinear is not assessable to standard analysis technique. In this paper a new method of characterizing such filter through matrix operator is introduced. A new parameter 'column sum' is extracted. from median matrix. The column sum leads to bring out to prediction of several features of signal like trends (maximum/minimum) monotonic behaviour and periodicity.