• 한국정보전자통신기술학회논문지
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• 제11권6호
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• pp.691-696
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• 2018

We propose an algorithm to update weight to use the mean square error method and mutual coupling matrix in a coherent channel. The algorithm proposed in this paper estimates the desired signal by using the updated weight. The updated weight is obtained by covariance matrix using mean square error and mutual coupling matrix. The MUSIC algorithm, which is direction of arrival estimation method, is mostly used in the desired signal estimation. The MUSIC algorithm has a good resolution because it uses subspace techniques. The proposed method estimates the desired signal by updating the weights using the mutual coupling matrix and mean square error method. Through simulation, we analyze the performance by comparing the classical MUSIC and the proposed algorithm in a coherent channel. In this case of the coherent channel for estimating at the three targets (-10o, 0o, 10o), the proposed algorithm estimates all the three targets (-10o, 0o, 10o). But the classical MUSIC algorithm estimates only one target (x, x, 10o). The simulation results indicate that the proposed method is superior to the classical MUSIC algorithm for desired signal estimation.

• Journal of the Korean Data Analysis Society
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• 제20권6호
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• pp.2747-2757
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• 2018

We consider the MLE (maximum likelihood estimate) and Bayesian estimates of three-parameter bathtub-shaped lifetime distribution based on the progressive type II censoring with binomial removal. Jung, Chung (2018) proposed the three-parameter bathtub-shaped distribution which is the extension of the two-parameter bathtub-shaped distribution given by Zhang (2004). Jung, Chung (2018) investigated its properties and estimations. The maximum likelihood estimates are computed using Newton-Raphson algorithm. Also, Bayesian estimates are obtained under the balanced loss function using MCMC (Markov chain Monte Carlo) method. In particular, BSEL (balanced squared error loss) function is considered as a special form of balanced loss function given by Zellner (1994). For comparing theirs MLEs with the corresponding Bayes estimates, some simulations are performed. It shows that Bayes estimates is better than MLEs in terms of risks. Finally, concluding remarks are mentioned.

• 한국도로학회논문집
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• 제10권1호
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• pp.145-154
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• 2008

본 연구의 목적은 출발시각기준 실시간 링크통행시간 추정정보의 질을 평가하는 것이다. 이에 본 연구는 통행시간 정보의 질을 정확성(추정오차)과 신속성(시간처짐) 측면에서 평가하였다. 그리고 통행시간 정보의 질과 링크길이 및 혼잡수준과의 관계를 규명하였다. 분석결과, 출발시각기준 실시간 링크통행시간 추정정보의 정확성과 신속성은 서로 상충관계임을 알 수 있었다. 또한 정확성을 나타내는 '추정오차' 는 계통오차(systematic error)와 혼잡수준을 반영하는 평균자승오차(MSEE)로 구성되는 것으로 분석되었다 시간처짐은 '최소시간처짐', '혼잡에 의한 시간처짐', '갱신간격에 의한 시간처짐'으로 구분하여 평가하였다. 이를 실제 AVI자료에 적용한 결과, 링크길이와 혼잡수준에 관계없이 추정오차가 5%일 때, 시간처짐은 약 10분 정도 발생하는 것으로 나타났다.

• 전산구조공학
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• 제11권1호
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• pp.261-274
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• 1998

본 연구에서는 무요소방법에 적응적 해석기법을 적용하기 위한 부분 및 전체오차의 평가기법을 제안하였다. 본 연구에서 제안한 오차의 평가방법은 무요소방법에서 계산된 응력이 오차가 큰 영역에서 진동한다는 특성을 이용한 것으로 해석결과 얻어진 응력을 낮은 차수의 형상함수로 투사하는 후처리를 함으로써 가상진동모우드를 제거하고 이때 얻어진 투영응력과 원래의 응력을 비교하여 부분오차 및 전체오차를 구할 수 있다. 1차원 및 2차원 예제해석을 통하여 투영응력을 구할 때 가능한 한 작은 영향영역을 사용하는 것이 바람직하다는 것을 보였으며 이는 영향영역의 크기를 과도하게 설정할 경우 투영응력을 과대 평가할 수 있기 때문이다. 본 연구에서 제안한 오차의 평가기법은 다른 무요소 방법에 적용될 수 있다.

• 대한수학회보
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• 제48권5호
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• pp.897-915
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• 2011

In this paper, we develop a symmetric Galerkin method with interior penalty terms to construct fully discrete approximations of the solution for nonlinear Sobolev equations. To analyze the convergence of discontinuous Galerkin approximations, we introduce an appropriate projection and derive the optimal $L^2$ error estimates.

• 대한수학회지
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• 제34권3호
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• pp.661-672
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• 1997

In this paper we introduce the semidiscrete solution of a single-phase nonlinear Stefan problem We analyze the optimal convergence of the semidiscrete solution in $H^1$ and $H^2$ normed spaces and also we derive the error estimates in $L^2$ normed space.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제6권2호
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• pp.85-97
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• 2002

In this paper, finite volume element methods for nonlinear parabolic problems are proposed and analyzed. Optimal order error estimates in $W^{1,p}$ and $L_p$ are derived for $2{\leq}p{\leq}{\infty}$. In addition, superconvergence for the error between the approximation solution and the generalized elliptic projection of the exact solution (or and the finite element solution) is also obtained.

• 대한인간공학회지
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• 제9권1호
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• pp.35-42
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• 1990

This study is concerned with the accuracy, of error with which subjects can interpolate the location of a target between two graduation markers with 4 orientations and 6 sizes CRT display. Stimuli were graphic images on CRT with a linear, end-markec, ungraduated scales having a target. The location of a target is estimated in units over te range 1-99. Smallest error of estimates was at the near ends and middle of the base-line. The median error was less than 2 units, modal error was 1, and the most error (; 99.7%) was within 10. A proper size to make an minimum error in interpolation exists such that size 400 pixels. Interpolation estimation is shown to be affected by the size, location and interaction (orientation x location, size x location). The accuracy, interpolation performance are discussed in relation to absolute error associated with visual performance.

• Journal of applied mathematics & informatics
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• 제32권5_6호
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• pp.707-719
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• 2014

In this paper, we investigate a variational discretization approximation of elliptic optimal control problems with control constraints. The state and the co-state are approximated by piecewise linear functions, while the control is not directly discretized. By using some proper intermediate variables, we derive a second-order convergence in $L^2$-norm and superconvergence between the numerical solution and elliptic projection of the exact solution in $H^1$-norm or the gradient of the exact solution and recovery gradient in $L^2$-norm. Then we construct a posteriori error estimates by using the superconvergence results and do some numerical experiments to confirm our theoretical results.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2007년도 학술대회 논문집 전문대학교육위원
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• pp.160-164
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• 2007

MRAS observer, which is based on adaptive control theory, estimates speed and position by using optimal observer gains on the basis of Lyapunov stability theory. However, in case of MRAS theory, position estimation error is in existence because of non-linearity for inductance variation and limit cycles for position estimation. The adaptive sliding observer based on the variable structure control theory estimates the speed and position for zero of estimation error by using the sliding surface equal to the error between speed and position estimation. The binary observer estimates the rotor speed and rotor flux with alleviation of the high-frequency chattering, and retains the benefits achieved in the conventional sliding observer, such as robustness to parameter and disturbance variations. The speed and position sensorless control of SRM under the load and inductance variation is verified by the experimental results.