• Title/Summary/Keyword: Approximation Order

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An Analytic Calculation Method for Delay Time of RC-class Interconnects (RC-class 회로 연결선의 지연 시간 계산을 위한 해석적 기법)

  • Kal, Won-Kwang;Kim, Seok-Yoon
    • Journal of the Korean Institute of Telematics and Electronics C
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    • v.36C no.7
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    • pp.1-9
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    • 1999
  • This paper presents an analytic 3rd order calculation methods, without simulations, for delay time of RC-class circuits which are conveniently used to on-chip interconnects. While the proposed method requires comparable evaluation time than the previous 2nd order calculation method, it ensures more accurate results than those of 2nd order method. The proposed analytic delay calculation method guarantees allowable error tolerances when compared to the results obtained from the AWE (Asymptotic Waveform Evaluation) technique and has better performance in evaluation time as well as numerical stability. The first algorithm of the proposed method requires 8 moments for the 3rd order approximation and yields more accurate delay time approximation. The second algorithm requires 6 moments for the 3rd order approximation and results in shorter evaluation time, the accuracy of which may be less than the first algorithm.

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ANALYSIS OF THE LiF:Mg,Cu,Si TL AND THE LiF:Mg,Cu,P TL GLOW CURVES BY USING GENERAL APPROXIMATION PLUS MODEL

  • Chang, In-Su;Lee, Jung-Il;Kim, Jang-Lyul;Oh, Mi-Ae;Chung, Ki-Soo
    • Journal of Radiation Protection and Research
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    • v.34 no.4
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    • pp.155-164
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    • 2009
  • In this paper, we used computerized glow curve deconvolution (CGCD) software with several models for the simulation of a TL glow curve which was used for analysis. By using the general approximation plus model, parameters values of the glow curve were analyzed and compared with the other models parameters (general approximation, mixed order kinetics, general order kinetics). The LiF:Mg,Cu,Si and the LiF:Mg,Cu,P material were used for the glow curve analysis. And we based on figure of merits (FOM) which was the goodness of the fitting that was monitored through the value between analysis model and TLD materials. The ideal value of FOM is 0 which represents a perfect fit. The main glow peak makes the most effect of radiation dose assessment of TLD materials. The main peak of the LiF:Mg,Cu,Si materials has a intensity rate 80.76% of the whole TL glow intensity, and that of LiF:Mg,Cu,P materials has a intensity rate 68.07% of the whole TL glow intensity. The activation energy of LiF:Mg,Cu,Si was analyzed as 2.39 eV by result of the general approximation plus(GAP) model. In the case of mixed order kinetics (MOK), the activation energy was analyzed as 2.29 eV. The activation energy was analyzed as 2.38 eV by the general order kinetics (GOK) model. In the case of LiF:Mg,Cu,P TLD, the activation energy was analyzed as 2.39 eV by result of the GAP model. In the case of MOK, the activation energy was analyzed as 2.55 eV. The activation energy was analyzed as 2.51 eV by the GOK model. The R value means different ratio of retrapping-recombination. The R value of LiF:Mg,Cu,Si TLD main peak analyzed as $1.12\times10^{-6}$ and $\alpha$ value analyzed as $1.0\times10^{-3}$. The R of LiF:Mg,Cu,P TLD analyzed as $7.91\times10^{-4}$, the $\alpha$ value means different ratio of initial thermally trapped electron density-initial trapped electron density (include thermally disconnected trap electrons density). The $\alpha$ value was analyzed as $9.17\times10^{-1}$ which was the difference from LiF:Mg,Cu,Si TLD. The deep trap electron density of LiF:Mg,Cu,Si was higher than the deep trap electron density of LiF:Mg,Cu,P.

Building Detection Using Segment Measure Function and Line Relation

  • Ye, Chul-Soo;Kim, Gyeong-Hwan;Lee, Kwae-Hi
    • Proceedings of the KSRS Conference
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    • 1999.11a
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    • pp.177-181
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    • 1999
  • This paper presents an algorithm for building detection from aerial image using segment measure function and line relation. In the detection algorithm proposed, edge detection, linear approximation and line linking are used and then line measure function is applied to each line segment in order to improve the accuracy of linear approximation. Parallelisms, orthogonalities are applied to the extracted liner segments to extract building. The algorithm was applied to aerial image and the buildings were accurately detected.

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ON EXACT CONVERGENCE RATE OF STRONG NUMERICAL SCHEMES FOR STOCHASTIC DIFFERENTIAL EQUATIONS

  • Nam, Dou-Gu
    • Bulletin of the Korean Mathematical Society
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    • v.44 no.1
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    • pp.125-130
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    • 2007
  • We propose a simple and intuitive method to derive the exact convergence rate of global $L_{2}-norm$ error for strong numerical approximation of stochastic differential equations the result of which has been reported by Hofmann and $M{\"u}ller-Gronbach\;(2004)$. We conclude that any strong numerical scheme of order ${\gamma}\;>\;1/2$ has the same optimal convergence rate for this error. The method clearly reveals the structure of global $L_{2}-norm$ error and is similarly applicable for evaluating the convergence rate of global uniform approximations.

A study of robust controller design for turret servo system (터렛 서보시스템의 강인한 제어기 설계연구)

  • 김인환;김종화;이만형;배종일
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.22-27
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    • 1989
  • In this paper influences of disturbances and Modeling errors are qualitatively for the linear approximation model of turret servo system, and then LQG/LTR Control theory is applied to linear approximation model in order to design a controller which satisfies robustneas/stability for the modeling errors. Finally the performance and robustness of designed controller for the given plant are verified through the simulation.

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Edgeworth Expansion and Bootstrap Approximation for Survival Function Under Koziol-Green Model

  • Kil Ho;Seong Hwa
    • Communications for Statistical Applications and Methods
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    • v.7 no.1
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    • pp.233-244
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    • 2000
  • Confidence intervals for survival function give useful information about the lifetime distribution. In this paper we develop Edgeworkth expansions as approximation to the true and bootstrap distributions of normalized nonparametric maximum likelihood estimator of survival function in the Koziol-Green model and then use these results to show that the bootstrap approximations have second order accuracy.

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A POSTERIORI ERROR ESTIMATOR FOR LINEAR ELASTICITY BASED ON NONSYMMETRIC STRESS TENSOR APPROXIMATION

  • Kim, Kwang-Yeon
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.16 no.1
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    • pp.1-13
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    • 2012
  • In this paper we present an a posteriori error estimator for the stabilized P1 nonconforming finite element method of the linear elasticity problem based on a nonsymmetric H(div)-conforming approximation of the stress tensor in the first-order Raviart-Thomas space. By combining the equilibrated residual method and the hypercircle method, it is shown that the error estimator gives a fully computable upper bound on the actual error. Numerical results are provided to confirm the theory and illustrate the effectiveness of our error estimator.

Adaptive Fuzzy Controller with Variable Deadzone (가변 사구간을 갖는 적응 퍼지 제어기)

  • 구근모
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.03a
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    • pp.39-42
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    • 1998
  • This paper proposes an adaptive fuzzy control scheme for a class of continuous-time nonlinear dynamic systems for which an explicit linear parameterization of the uncertainty is either unknown or impossible. In order to improve robustness under approximation errors and disturbances the proposed scheme includes deadzone in adaptation laws which varies its size adaptively. The assumption of known bounds on the approximation errors and disturbances is not required since those are estimated using adaptation laws. The overall adaptive scheme is proven to guarantee uniform ultimate boundedness in the Lyapunov sense.

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A Note on Estimation Under Discrete Time Observations in the Simple Stochastic Epidemic Model

  • Oh, Chang-Hyuck
    • Journal of the Korean Statistical Society
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    • v.22 no.1
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    • pp.133-138
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    • 1993
  • We consider two estimators of the infection rate in the simple stochastic epidemic model. It is shown that the maximum likelihood estimator of teh infection rate under the discrete time observation does not have the moment of any positive order. Some properties of the Choi-Severo estimator, an approximation to the maximum likelihood estimator, are also investigated.

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Performance Comparison of Taylor Series Approximation and CORDIC Algorithm for an Open-Loop Polar Transmitter (Open-Loop Polar Transmitter에 적용 가능한 테일러 급수 근사식과 CORDIC 기법 성능 비교 및 평가)

  • Kim, Sun-Ho;Im, Sung-Bin
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.47 no.9
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    • pp.1-8
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    • 2010
  • A digital phase wrapping modulation (DPM) open-loop polar transmitter can be efficiently applied to a wideband orthogonal frequency division multiplexing (OFDM) communication system by converting in-phase and quadrature signals to envelope and phase signals and then employing the signal mapping process. This mapping process is very similar to quantization in a general communication system, and when taking into account the error that appears during mapping process, one can replace the coordinates rotation digital computer (CORDIC) algorithm in the coordinate conversion part with the Taylor series approximation method. In this paper, we investigate the application of the Taylor series approximation to the cartesian to polar coordinate conversion part of a DPM polar transmitter for wideband OFDM systems. The conventional approach relies on the CORDIC algorithm. To achieve efficient application, we perform computer simulation to measure mean square error (MSE) of the both approaches and find the minimum approximation order for the Taylor series approximation compatible to allowable error of the CORDIC algorithm in terms of hardware design. Furthermore, comparing the processing speeds of the both approaches in the implementation with FPGA reveals that the Taylor series approximation with lower order improves the processing speed in the coordinate conversion part.