Deterministic Properties of Analog Median Filters

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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.

Original languageEnglish
Pages (from-to)1629-1640
Number of pages12
JournalIEEE Transactions on Information Theory
Issue number6
Publication statusPublished - Nov 1991
Externally publishedYes


  • analog filters
  • Median filters
  • nonlinear filters


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