• Title/Summary/Keyword: filters

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DECOMPOSITIONS AND EXPANSIONS OF FILTERS IN TARSKI ALGEBRAS

  • Kim, Jaedeok;Kim, Youngmi;Roh, Eun Hwan
    • Journal of the Chungcheong Mathematical Society
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    • v.20 no.4
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    • pp.457-463
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    • 2007
  • We show that any filter of Tarski algebra can be de-composed into the union of some sets. Moreover, we introduce the notion of expansions of filters in Tarski algebras, and discuss the notion of ${\sigma}$-primary filters in Tarski algebras. Finally, we show that there is no non-trivial quadratic Tarski algebras on a field X with $|X|{\geq}3$.

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Filtering Theory (필터링 이론)

  • 송택렬
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.6
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    • pp.413-419
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    • 2003
  • The objective of this paper is to survey and put in perspective the existing methods of dynamic filter development. This includes theories and practices for linear and nonlinear filters, multiple model filters, and data association methods for tracking in multitarget environment. The presentation of this paper is motivated by recent surge of interest in the area of designing feedback control systems with reduced number of sensors, detection and identification of abrupt changes, and multitarget tracking in clutter. It is hoped to be useful in view of the need to take a grasp of existing techniques before using them in practice and developing new techniques.

Instantaneous Compensating Current Control of Active Power Filters with Phase Angle Detecting Method Under Unbalance Power System (불평형 전원 시스템하의 위상각 검출에 의한 능동전력필터의 순시보상 전류제어)

  • 정영국
    • Proceedings of the KIPE Conference
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    • 2000.07a
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    • pp.752-755
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    • 2000
  • This paper describes a new algorithm for active power filters which can be control source current symmetrically under unbalanced condition in power system. Positive sequency voltage is detected by symmetrical coordinate method and compensating reference current of active power filters is calculated using by accurate phase angle information of positive sequency voltage. The basic principle of the proposed method is described in detail and the conventional and proposed phase detecting methods are compared and discussed through the simulation results.

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HAUSDORFF INTERVAL VALUED FUZZY FILTERS

  • Ramakrishinan, P.V.;V. Lakshmana Gomathi Nayagam
    • Journal of the Korean Mathematical Society
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    • v.39 no.1
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    • pp.137-148
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    • 2002
  • The notion of Interval Valued Fuzzy Sets (IVF sets) was introduced by T. K. Mondal. In this paper a notion of IVF filter is introduced and studied. A new notion of Hausdorffness, which can not be defined in crisp theory of filters, is defined on IVF filters and their properties are studied.

ON IDEALS, FILTERS AND CONGRUENCES IN INCLINES

  • Yao, Wei;Han, Song-Chol
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.3
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    • pp.591-598
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    • 2009
  • This paper studies the relations between ideals, filters, regular congruences and normal congruences in inclines. It is shown that for any incline, there are a one-to-one correspondence between all ideals and all regular congruences and a one-to-one correspondence between all filters and all normal congruences.

IMPLICATIVE ORDERED FILTERS OF IMPLICATIVE SEMIGROUPS

  • Jun, Young-Bae
    • Communications of the Korean Mathematical Society
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    • v.14 no.1
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    • pp.47-55
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    • 1999
  • This paper continues the investigations of implicative semigroups and of their ordered filters which were started in general case by M.W. Chan and K. P. Shum [3]. In particular, the notion of an implicative ordered filter of an implicative semigroup is introduced. We state some equivalent conditions for an ordered filter to be an implicative ordered filter and obtain the so called extension property for implicative ordered filters.

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Adaptive Design of IIR Digital Filters Using Output Error Method with Adaptive Compensator (적응 보상기를 가지는 출력오차 방법을 이용한 IIR 다지탈 필터의 적응적 설계)

  • 배현덕;이종각
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.36 no.9
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    • pp.685-690
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    • 1987
  • Adaptive design of IIR digiral filters using equation error method has been studied. In this paper, a design technique of IIR digital filters using output error method with adaptive compensator is presented. In computer simulation results, it is shown that flat response characteristic in pass-band, below-40[dB] attenuation characteristic in stop-band, sharf cut-off characteristic in transition-band, and phase characteristic is linearin pass-band.

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NEW TYPES OF FUZZY BCK-FILTERS

  • Jun, Young-Bae
    • Honam Mathematical Journal
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    • v.31 no.2
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    • pp.157-166
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    • 2009
  • Using more general form of the notion of quasi-coincidence of a fuzzy point with a fuzzy subset, the notion of ($({\in},{\in}{\bigvee}q_{\kappa})$)-fuzzy BCK-filters is introduced, and related properties are investigated. Many characterizations of ($({\in},{\in}{\bigvee}q_{\kappa})$)-fuzzy BCK-filters are provided. Relations between an ($({\in},{\in}{\bigvee}q_{\kappa})$)-fuzzy BCK-filter and a fuzzy BCK-filter are established.

The Statistical Analysis of Morphological Filters for a Continuous Stationary lst-Order Gauss-Markov Source (연속정상 1차 Gauss-Markov 신호원에 대한 형태론적 여파기의 통계적 분석)

  • 김한균;윤정민;나상신;최태영
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.32B no.6
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    • pp.899-908
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    • 1995
  • In this paper, the probabilistic relations of dual morphological operations, such as dilation and erosion, closing and opening, and close- open and open-close, and the statistical properties for a continuous stationary lst order Gauss-Markov source are analyzed. The result is that the dual filters have symmetrical means and skews, and equal variances. Also, the statistics of morphological filters are very similar with those of input source, as correlation coefficient increases.

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The Design of Bandpass Filters with Resonators Changed Coupling Nodal Point (공진기의 결합 노드 위치가 바뀐 대역통과 여파기의 설계)

  • 성규제
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2002.11a
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    • pp.49-53
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    • 2002
  • In this thesis, approximated design formulas for bandpass filters using changed coupling nodal point resonators are derived. The formulas take into account the arbitrary coupling node of lumped and distributed resonators. The advantage of this filter is its abilities to change freely the coupling structure between two resonators. Using the design formulas two filters were designed and simulated. Their responses verified the formulas.

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