Two key deterministic properties of analog median filters are established. The first is that root signals are characterized by a special class of locally monotone functions and the second is that the repeated application of a median filter produces a root signal that retains significant features in the original data. Both results are extensions of well-known facts for discrete median filters. In addition, it is shown that these properties do not extend to a natural multidimensional version of the median filter.
|Number of pages||12|
|Journal||IEEE Transactions on Information Theory|
|Publication status||Published - Nov 1991|
- analog filters
- Median filters
- nonlinear filters