• Title/Summary/Keyword: Convergence order

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The Spread of Internet Worms on Convergence Networks (융합망 환경에서 인터넷 웜 확산 방식 연구)

  • Shin, Weon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.35 no.3B
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    • pp.551-557
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    • 2010
  • Fast spreading Internet worms will be sure to become one of the new major threats of convergence networks as well as the Internet. In order to defend and respond them, it is necessary to study how Internet worms propagate and what factors affect worm spreading. In this paper, we try to describe the correct spread of worms on convergence network environments. Therefore we propose a spreading model and analyze the spreading effects by various experiments.

Performance Improvement of the Fractionally-Spaced Equalizer with Modified-Multiplication Free Adaptive Filter Algorithm (변형 비분적응필터 알고리즘을 적용한 분할등화기 성능개선)

  • 윤달환;김건호;김명수;임채탁
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.30B no.6
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    • pp.28-34
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    • 1993
  • An algorithm for MMADF(modified multiplication-free adaptive filter) which need not to multiplication arithmatic operation is proposed to improve the performance of FSE (fractionally spaced equalizer) which reduce the ISI(intersymbol interference) in signal transfer channel. The input signals are quantized using DPCM and the reference signals is processed using a first-order linear prediction filter. The convergence properties of Sign. MADF and M-MADF algorithm for updating of the coefficients of a FIR digital filter of the fractionally spaced equalizer (FSE) are investigated and compared with one another. The convergence properties are characterized by the steady state error and the convergence speed. It is shown that the convergence speed of M-MADF is almost same as Sign algorithm and is faster than MADF in the condition of same steady state error. Especially it is very useful for high correlated signals.

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Improved Multiplication Free Adaptive Digital Filter with the Fractionally-Spaced Equalizer (분할등화기를 이용한 개선된 비적적응필터)

  • Yoon, Dal-Hwan
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.39 no.2
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    • pp.137-146
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    • 2002
  • In order to remove the intersymbol interference(ISI) phenomenon in data transmission channel, the structure and convergence analysis of the improved multiplication free adaptive digital filter(IMADF) is presented. Under conditions of zero-mean, wide-sense stationary and white Gaussian noise, it is shown that this paper analyze the convergence characteristics of the IMADF with a fractionally-spaced equalizer(FSE). In the experimental results, the convergence characteristics of the IMADF algorithm is almost same as the sign algorithm, but is better than the MADF algorithm. Here, this algorithm has useful characteristics when the correlation of the input signal is highly.

Analysis of the Parameter Convergence Rate for an Adaptive Identifier (적응추정자에 대한 파라메터 수렴속도의 해석)

  • Kim, Sung-Duck
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.38 no.2
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    • pp.127-136
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    • 1989
  • This paper describes the parameter convergence properties of an adaptive system to identify a single-input single-output plant model. It is demonstrated that, by using power spectrum analysis, the persistency of excitation (PE) condition in order to guarantee the exponential stability of the adaptive control system can be transformed into the positive definite behavior for the auto-correlation function matrix of adaptive signal. The existence of parameter nominal values can be analyzed by this condition and the convergence rates of parameter are determined by examining the auto-correlation function. We may use the sufficient richness (SR) of input spectrum instead of the PE condition to analyze the parameter boundedness. It can be shown that the eigen values of the auto-correlation function are always related with adaptive gain, input amplitude and positions or numbers of input spectra. In each case, the variation of parameter convergence rate can be also verified.

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Design guidelines and convergence bound of lterative learning control system (반복 학습 제어 시스템의 설계 지침 및 수렴 범위)

  • 노철래;정명진
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.45 no.1
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    • pp.131-138
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    • 1996
  • In this paper, we consider an iterative learning control system(ILCS) consisting of an iterative learning controller, a feedback controller and a controlled plant in the frequency domain. At first, we review the convergence of ILCS. And we give some design guidelines of the ILCS using a nominal model of the plant. Then we present the structured and the unstructured uncertainty bound which guarantees the convergence of the designed iterative learning controller. In particular, we analyze the relationship between the convergence and the magnitude and phase uncertainties. In order to show the usefulness of the proposed analysis and design guidelines, we present some simulation examples. (author). 13 refs., 5 figs.

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SMOSLG Algorithm for Digital Image Restoration (디지털 영상복원을 위한 SMOSLG 알고리즘)

  • Song, Min-Koo;Yum, Joon-Keun
    • The Transactions of the Korea Information Processing Society
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    • v.6 no.12
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    • pp.3694-3702
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    • 1999
  • OSL algorithm has an advantage that repeated algorithm is easily derived, even though penalty function which has a complicated transcendental function. In order to solve this problem, we suggested MPEMG algorithm. However, though this algorithm extend convergence rate of smoothing constant, it include the problem that is not faster than OSL algorithm in the convergence rate increasing penalized log-likelihood. Accordingly, in this paper, we will suggest SMOSLG digital image restoration algorithm which is fast in the convergence rate as well as extend convergence region of smoothing constant. And also we will study the usefulness of algorithm suggested through digital image simulation.

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ON THE SEMILOCAL CONVERGENCE OF A NEWTON-TYPE METHOD OF ORDER THREE

  • Argyros, Ioannis K.;Hilout, Said
    • The Pure and Applied Mathematics
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    • v.17 no.1
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    • pp.1-27
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    • 2010
  • Wu and Zhao [17] provided a semilocal convergence analysis for a Newton-type method on a Banach space setting following the ideas of Frontini and Sormani [9]-[11]. In this study first: we point out inconsistencies between the hypotheses of Theorem 1 and the two examples given in [17], and then, we provide the proof in affine invariant form for this result. Then, we also establish new convergence results with the following advantages over the ones in [17]: weaker hypotheses, and finer error estimates on the distances involved. A numerical example is also provided to show that our results apply in cases other fail [17].

New higher-order triangular shell finite elements based on the partition of unity

  • Jun, Hyungmin
    • Structural Engineering and Mechanics
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    • v.73 no.1
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    • pp.1-16
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    • 2020
  • Finite elements based on the partition of unity (PU) approximation have powerful capabilities for p-adaptivity and solutions with high smoothness without remeshing of the domain. Recently, the PU approximation was successfully applied to the three-node shell finite element, properly eliminating transverse shear locking and showing excellent convergence properties and solution accuracy. However, the enrichment with the PU approximation results in a significant increase in the number of degrees of freedom; therefore, it requires greater computational cost, thus making it less suitable for practical engineering. To circumvent this disadvantage, we propose a new strategy to decrease the total number of degrees of freedom in the existing PU-based shell element, without loss of optimal convergence and accuracy. To alleviate the locking phenomenon, we use the method of mixed interpolation of tensorial components and perform convergence studies to show the accuracy and capability of the proposed shell element. The excellent performances of the new shell elements are illustrated in three benchmark problems.

UNIFORMLY CONVERGENT NUMERICAL SCHEME FOR SINGULARLY PERTURBED PARABOLIC DELAY DIFFERENTIAL EQUATIONS

  • WOLDAREGAY, MESFIN MEKURIA;DURESSA, GEMECHIS FILE
    • Journal of applied mathematics & informatics
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    • v.39 no.5_6
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    • pp.623-641
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    • 2021
  • In this paper, numerical treatment of singularly perturbed parabolic delay differential equations is considered. The considered problem have small delay on the spatial variable of the reaction term. To treat the delay term, Taylor series approximation is applied. The resulting singularly perturbed parabolic PDEs is solved using Crank Nicolson method in temporal direction with non-standard finite difference method in spatial direction. A detail stability and convergence analysis of the scheme is given. We proved the uniform convergence of the scheme with order of convergence O(N-1 + (∆t)2), where N is the number of mesh points in spatial discretization and ∆t is mesh length in temporal discretization. Two test examples are used to validate the theoretical results of the scheme.

Development of teaching material of material mechanics and portable material testing machine for convergence education of mechanical engineering (기계공학의 융합교육을 위한 재료역학 교재 및 휴대용 재료시험기 개발)

  • Cho, Seunghyun;Lee, Soonah
    • Journal of Engineering Education Research
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    • v.21 no.4
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    • pp.20-27
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    • 2018
  • In this paper, we conducted an analysis of existing materials of material mechanics, surveying educational demands, and selecting art fields for mechanical engineering in collaboration with experts in the fields of aesthetics and renaissance in order to develop educational materials conversed with humanities and arts. In addition, as a core education tool for convergence education, it was developed with an education kits that can be disassembled, assembled and carried by students. As a results of research, education materials were introduced various arts, linked to the engineering thinking. And measurement experiments of material characteristics were carried in a general classroom using developed education kits. From a paper results, the artistic sensitivity of the students will be enhanced and the students' creative problem solving ability will be improved as the ultimate goal of convergence education.