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Deterministic properties of analog median filters

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1 Author(s)
M. J. Bottema ; Dept. of Math. & Stat., Winona State Univ., MN, USA

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 which 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

Published in:

IEEE Transactions on Information Theory  (Volume:37 ,  Issue: 6 )