Deterministic Properties of Analog Median Filters

Murk J Bottema

doi:10.1109/18.104323

Deterministic Properties of Analog Median Filters

Murk J Bottema

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	1629-1640
Number of pages	12
Journal	IEEE Transactions on Information Theory
Volume	37
Issue number	6
DOIs	https://doi.org/10.1109/18.104323
Publication status	Published - Nov 1991
Externally published	Yes

Keywords

analog filters
Median filters
nonlinear filters

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10.1109/18.104323Licence: In Copyright

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abstract = "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.",

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AB - 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.

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KW - nonlinear filters

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Deterministic Properties of Analog Median Filters

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