Analysis and optimization of subset averaged median filters

Author

Kang, Dong Hee ; Song, Jongkwan ; Lee, Yong Hoon

Author_Institution

Dept. of Electr. Eng., Korea Adv. Inst. of Sci. & Technol., Taejon, South Korea

Volume

44

Issue

3

fYear

1996

fDate

3/1/1996 12:00:00 AM

Firstpage

742

Lastpage

746

Abstract

By analyzing the subset averaged median (SAM) filter based on threshold decomposition, we show that the class of SAM filters is identical to the class of extended threshold Boolean filters (ETBFs) with the extended self-dual property. This result indicates that the class of SAM filters encompasses a variety of digital filters such as linear finite impulse response (FIR), weighted median, symmetric L-filters, and any filter defined by a linear combination of these filters. A procedure for determining an optimum SAM filter in the mean square error (MSE) sense is developed. It is shown that the optimization of SAM filters may result in a FIR Wiener filter when the input is Gaussian and in a median-type filter for non-Gaussian inputs

Keywords

FIR filters; Gaussian processes; Wiener filters; circuit optimisation; median filters; FIR Wiener filter; Gaussian input; SAM filters; digital filters; extended self-dual property; extended threshold Boolean filters; linear finite impulse response filter; mean square error; median-type filter; nonGaussian inputs; optimization; subset averaged median filters; symmetric L-filters; threshold decomposition; weighted median filter; Digital filters; Filtering; Finite impulse response filter; Frequency estimation; IIR filters; Mean square error methods; Nonlinear filters; Optimal control; Signal analysis; Wiener filter;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.489053

Filename

489053