Title :
Deterministic properties of analog median filters
Author :
Bottema, Murk J.
Author_Institution :
Dept. of Math. & Stat., Winona State Univ., MN, USA
fDate :
11/1/1991 12:00:00 AM
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 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
Keywords :
analogue circuits; filtering and prediction theory; signal processing; analog median filters; deterministic properties; locally monotone functions; root signals; signal processing; Data analysis; Ear; Image enhancement; Iron; Length measurement; Multidimensional signal processing; Multidimensional systems; Nonlinear filters; Smoothing methods; Speech processing;
Journal_Title :
Information Theory, IEEE Transactions on