Some statistical properties of alpha-trimmed mean and standard type M filters

Author

Peterson, Steven R. ; Lee, Yong Hoon ; Kassam, Saleem A.

Author_Institution

Moore Sch. of Electr. Eng., Pennsylvania Univ., Philadelphia, PA, USA

Volume

36

Issue

5

fYear

1988

fDate

5/1/1988 12:00:00 AM

Firstpage

707

Lastpage

713

Abstract

The statistical properties of two classes of filters generalizing the median filter are considered. The two classes are the alpha-trimmed mean (α-TM) filter and the standard type M(STM) filter, both of which are special cases of the L filter. Results are developed to quantify the white-noise suppression and edge-preservation characteristics of the filters by considering their output sequence error statistics. It is shown that the α-TM and STM filters perform better than the running mean and median filters in white noise suppression, while they can be designed to be comparable to the median filter in edge preservation in the presence of noise

Keywords

error statistics; filtering and prediction theory; interference suppression; white noise; M filers; alpha-trimmed mean filter; edge-preservation; median filter; output sequence error statistics; standard type filter; statistical properties; white-noise suppression; Additive noise; Equations; Error analysis; Gaussian noise; Helium; Nonlinear filters; Reactive power; Smoothing methods; Statistics; White noise;

fLanguage

English

Journal_Title

Acoustics, Speech and Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

0096-3518

Type

jour

DOI

10.1109/29.1580

Filename

1580