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A smoothing property of the median filter

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2 Author(s)
Restrepo, A. ; Dept. de Ingenieria Electr., Los Andes Univ., Bogota, Colombia ; Chacon, L.

The variation of a discrete signal is defined and used as a measure of roughness. It is shown that the median filter does not increase the variation of a signal, supporting the perception of the median filter as a smoother. Signals of both finite and infinite lengths are considered; for signals of finite length, nonpadding median filters are used

Published in:
Signal Processing, IEEE Transactions on  (Volume:42 ,  Issue: 6 )

Date of Publication: Jun 1994

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