DocumentCode
2528874
Title
A Search of WOSF Equivalent Classes up to Order 5
Author
Chen, Wei-Chih ; Jeng, Jyh-Horng
Author_Institution
Dept. of Inf. Eng., I-Shou Univ., Kaohsiung, Taiwan
fYear
2009
fDate
3-5 April 2009
Firstpage
80
Lastpage
84
Abstract
Weighted order statistic filters (WOSF) generate linearly separable Boolean functions. In some cases, 2 different WOSF may generate the same Boolean function. We thus can collect all of the WOSF together, which generate the same Boolean function. In this paper, we construct equivalent classes of WOSF, the BF equivalent class and the global equivalent class. Besides, we generalize three properties of the global classes and collect minimum weight vectors to build the global classes.
Keywords
Boolean functions; digital filters; filtering theory; Boolean function equivalent class; global class; global equivalent class; minimum weight vector; weighted order statistic filters; Boolean functions; Computational efficiency; Filters; Image reconstruction; Noise cancellation; Signal processing; Statistical analysis; Statistics; Support vector machine classification; Support vector machines; BF equivalent class; WOSF; base vector; global equivalent class; hyperplane;
fLanguage
English
Publisher
ieee
Conference_Titel
Signal Acquisition and Processing, 2009. ICSAP 2009. International Conference on
Conference_Location
Kuala Lumpur
Print_ISBN
978-0-7695-3594-4
Type
conf
DOI
10.1109/ICSAP.2009.34
Filename
5163830
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