THRESHOLD BOOLEAN FILTERS

Cited 21 time in webofscience Cited 0 time in scopus
  • Hit : 183
  • Download : 0
A class of nonlinear digital filters, called the threshold Boolean filter (TBF), is introduced. The TBF is defined by a Boolean function on the binary domain and is a natural extension of stack filters. Multilevel representations of a TBF corresponding to a Boolean function are derived; a TBF can be represented either as a sum of ''local minimum-local maximum'' terms or as an adaptive linear combination of ordered input data. It is shown that TBF's may be neither translation invariant nor scale invariant and that any TBF can be expressed as a linear combination of stack filters. A subclass of TBF's, called linearly separable (LS) TBF's, defined by the threshold logic is introduced as a direct extension of weighted-order statistic (WOS) filters. Implementation and design of a TBF and an LS TBF is investigated. The procedure for designing TBF's (LS TBF's) is shown to be considerably simpler than designing stack (WOS) filters, and the former can outperform the latter at marginal increase in computational cost. Finally, experimental results are presented to illustrate the performance characteristics of TBF's and LS TBF's.
Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Issue Date
1994-08
Language
English
Article Type
Article
Keywords

GENERALIZED STACK FILTERS; ABSOLUTE ERROR CRITERION; NONLINEAR FILTERS; MEDIAN FILTERS; ORDER; DESIGN

Citation

IEEE TRANSACTIONS ON SIGNAL PROCESSING, v.42, no.8, pp.2022 - 2036

ISSN
1053-587X
URI
http://hdl.handle.net/10203/65942
Appears in Collection
EE-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 21 items in WoS Click to see citing articles in records_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0