• Title/Summary/Keyword: convergence domain

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On Weak Convergence of Some Rescaled Transition Probabilities of a Higher Order Stationary Markov Chain

  • Yun, Seok-Hoon
    • Journal of the Korean Statistical Society
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    • v.25 no.3
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    • pp.313-336
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    • 1996
  • In this paper we consider weak convergence of some rescaled transi-tion probabilities of a real-valued, k-th order (k $\geq$ 1) stationary Markov chain. Under the assumption that the joint distribution of K + 1 consecutive variables belongs to the domain of attraction of a multivariate extreme value distribution, the paper gives a sufficient condition for the weak convergence and characterizes the limiting distribution via the multivariate extreme value distribution.

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A study on Variable Step Size algorithms for Convergence Speed Improvement of Frequency-Domain Adaptive Filter (주파수영역 적응필터의 수렴속도 향상을 위한 가변스텝사이즈 알고리즘에 관한 연구)

  • 정희준;오신범;이채욱
    • Proceedings of the IEEK Conference
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    • 2000.11d
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    • pp.191-194
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    • 2000
  • Frequency domain adaptive filter is effective to communication fields of many computational requirements. In this paper we propose a new variable step size algorithms which improves the convergence speed and reduces computational complexity for frequency domain adaptive filter. we compared MSE of the proposed algorithms with one of normalized FLMS using computer simulation of adaptive noise canceler based on synthesis speech.

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The Study on the Explanatory Factors of the Disabled Women's Safety in the Convergence Society (융복합 사회에서 장애여성 안전의 설명요인에 대한 연구)

  • Kwak, Jee-Young;Kang, Mi-Kyung
    • Journal of Digital Convergence
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    • v.13 no.4
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    • pp.405-416
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    • 2015
  • This study aimed to explore the factors explaining the safety of disabled women in the convergence society and was surveyed 374 disabled women nationwide. This study examined the factors that explain the safety of disabled women from the accidents and crimes in terms of individual, familial, and community characteristics. Main findings are as follows: 1) the safety from accident was largely explained by the community type and social capital condition in characteristics of community domain. The material hardship in characteristics of familial domain and disability level in characteristics of individual domain explained the safety from accident also. 2) the safety from crime was largely explained by the material hardship in characteristics of familial domain. And the community type and social support condition in characteristics of community domain and the educational level in characteristics of individual domain explained the safety from crime. Based on the findings, we suggested practical and institutional implications to ensure the disabled women's safety.

A study on the analysis of history of uniform convergence and its educational implications (평등 수렴의 역사에 대한 분석과 그 교육적 시사점에 대한 연구)

  • Park, Sun-Yong
    • Journal for History of Mathematics
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    • v.30 no.1
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    • pp.31-50
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    • 2017
  • This study analyses on the history of uniform convergence, and discusses its educational implications. First, this study inspects 'overflowing of the Euclidean methodology' which was suggested by Lakatos as a cause of tardy appearance of uniform convergence, and reinterprets that cause in the perspective of 'symbolization'. Second, this study looks into the emergence of uniform convergence of Seidel and Weierstrass in this viewpoint of symbolization. As a result, of analysis, we come to know that the definition of uniform convergence had been changed into the theory of 'domain and graph' from that of 'point and function value' by the location change of the quantifier. As these results, this study puts forward an educational suggestion from an angle of epistemological obstacle, concept definition and concept image.

EFFICIENCY ANALYSIS OF A DOMAIN DECOMPOSITION METHOD FOR THE TWO-DIMENSIONAL TELEGRAPH EQUATIONS

  • Jun, Younbae
    • East Asian mathematical journal
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    • v.37 no.3
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    • pp.295-305
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    • 2021
  • In this paper, we analyze the efficiency of a domain decomposition method for the two-dimensional telegraph equations. We formulate the theoretical spectral radius of the iteration matrix generated by the domain decomposition method, because the rate of convergence of an iterative algorithm depends on the spectral radius of the iteration matrix. The theoretical spectral radius is confirmed by the experimental one using MATLAB. Speedup and operation ratio of the domain decomposition method are also compared as the two measurements of the efficiency of the method. Numerical results support the high efficiency of the domain decomposition method.

Next Generation Convergence Security Framework for Advanced Persistent Threat (지능형 지속 위협에 대한 차세대 융합 보안 프레임워크)

  • Lee, Moongoo;Bae, Chunsock
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.9
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    • pp.92-99
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    • 2013
  • As a recent cyber attack has a characteristic that is intellectual, advanced, and complicated attack against precise purpose and specified object, it becomes extremely hard to recognize or respond when accidents happen. Since a scale of damage is very large, a corresponding system about this situation is urgent in national aspect. Existing data center or integration security framework of computer lab is evaluated to be a behind system when it corresponds to cyber attack. Therefore, this study suggests a better sophisticated next generation convergence security framework in order to prevent from attacks based on advanced persistent threat. Suggested next generation convergence security framework is designed to have preemptive responses possibly against APT attack consisting of five hierarchical steps in domain security layer, domain connection layer, action visibility layer, action control layer and convergence correspondence layer. In domain connection layer suggests security instruction and direction in domain of administration, physical and technical security. Domain security layer have consistency of status information among security domain. A visibility layer of Intellectual attack action consists of data gathering, comparison, decision, lifespan cycle. Action visibility layer is a layer to control visibility action. Lastly, convergence correspond layer suggests a corresponding system of before and after APT attack. An introduction of suggested next generation convergence security framework will execute a better improved security control about continuous, intellectual security threat.

2nd-order PD-type Learning Control Algorithm

  • Kim, Yong-Tae;Zeungnam Bien
    • Journal of the Korean Institute of Intelligent Systems
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    • v.14 no.2
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    • pp.247-252
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    • 2004
  • In this paper are proposed 2nd-order PD-type iterative learning control algorithms for linear continuous-time system and linear discrete-time system. In contrast to conventional methods, the proposed learning algorithms are constructed based on both time-domain performance and iteration-domain performance. The convergence of the proposed learning algorithms is proved. Also, it is shown that the proposed method has robustness in the presence of external disturbances and the convergence accuracy can be improved. A numerical example is provided to show the effectiveness of the proposed algorithms.

Design of an Adaptive Nonlinear Compensator using a Wavelet Transform Domain Volterra Filter and a Modified Escalator Algorithm

  • Hwang, Dong-Oh;Kang, Dong-Jun;Nam, Sang-Won
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.98.5-98
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    • 2001
  • An efficient adaptive nonlinear compensator, based on a wavelet transform domain adaptive Volterra filter along with a modified escalator algorithm, is proposed to speed up the convergence rate of an adaptive LMS algorithm. In particular, it is well known that the e.g., slow convergence speed of an adaptive LMS algorithm depends on the statistical characteristics (e.g., large eigenvalue spread) of the corresponding auto-correlation matrix of the input vector. To solve such a convergence problem, the proposed approach utilizes a modified escalator algorithm and a wavelet transform domain adaptive LMS Volterra filtering technique, which leads to diagonalization of the auto-correlation matrix of the ...

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A Simple Method to Reduce the Splitting Error in the LOD-FDTD Method

  • Kong, Ki-Bok;Jeong, Myung-Hun;Lee, Hyung-Soo;Park, Seong-Ook
    • Journal of electromagnetic engineering and science
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    • v.9 no.1
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    • pp.12-16
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    • 2009
  • This paper presents a new iterative locally one-dimensional [mite-difference time-domain(LOD-FDTD) method that has a simpler formula than the original iterative LOD-FDTD formula[l]. There are fewer arithmetic operations than in the original LOD-FDTD scheme. This leads to a reduction of CPU time compared to the original LOD-FDTD method while the new method exhibits the same numerical accuracy as the iterative ADI-FDTD scheme. The number of arithmetic operations shows that the efficiency of this method has been improved approximately 20 % over the original iterative LOD-FDTD method.

Measurement Range Enlargement in Brillouin Optical Correlation Domain Analysis Using Multiple Correlation Peaks

  • Jeong, Ji Ho;Lee, Kwanil;Jeong, Je-Myung;Lee, Sang Bae
    • Journal of the Optical Society of Korea
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    • v.16 no.3
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    • pp.210-214
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    • 2012
  • We propose and experimentally demonstrate a method for extension of measurement range in a Brillouin optical correlation domain analysis sensor system without resolution deterioration. In the experiment, a 300 m measurement range with about 8 cm spatial resolution was successfully obtained by cascading three different kinds of fibers as a sensing element.