• Title/Summary/Keyword: approximation model

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Hardware Implementation on the Weight Calculation of Iterative Algorithm for CT Image Reconstruction

  • Cao, Xixin;Ma, Kaisheng;Lian, Renchun;Zhang, Qihui
    • ETRI Journal
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    • v.35 no.5
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    • pp.931-934
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    • 2013
  • The weight calculation in an iterative algorithm is the most computationally costly task in computed tomography image reconstruction. In this letter, a fast algorithm to speed up the weight calculation is proposed. The classic square pixel rotation approximate calculation method for computing the weights in the iterative algorithm is first analyzed and then improved by replacing the square pixel model with a circular pixel model and the square rotation approximation with a segmentation method of a circular area. Software simulation and hardware implementation results show that our proposed scheme can not only improve the definition of the reconstructed image but also accelerate the reconstruction.

Design of a robust controller for nonminimum phase system with structured uncertainty (구조적 불확실성을 갖는 비최소위상계의 강인한 제어기 설계)

  • 김신구;서광식;김영철
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.422-425
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    • 1997
  • We consider the robust control problem for nonminimum phase(NMP) systems with parametric uncertainty which appear often in aircraft and missile control. First, a new method that makes such an uncertain NMP system to be factored as a interval minimum phase(MP) transfer function and a time delay term in the Pade approximation form has been presented. The controller to be proposed consists of a compensator $C_{Q}$(s) with Smith predictor in the internal model control(IMC) structure, so that it can have good robustness and performance against the structured uncertainty and the time delay behaviour due to NMP plant the $C_{Q}$(s) is designed on the MP model by using QFT. The stability and performance of overall system has been evaluated by the generalized Kharitonov theorem.rem.

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Comparison of Alternate Approaches for Reversible Geminate Recombination

  • Khokhlova, Svetlana S.;Agmon, Noam
    • Bulletin of the Korean Chemical Society
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    • v.33 no.3
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    • pp.1020-1028
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    • 2012
  • This work compares various models for geminate reversible diffusion influenced reactions. The commonly utilized contact reactivity model (an extension of the Collins-Kimball radiation boundary condition) is augmented here by a volume reactivity model, which extends the celebrated Feynman-Kac equation for irreversible depletion within a reaction sphere. We obtain the exact analytic solution in Laplace space for an initially bound pair, which can dissociate, diffuse or undergo "sticky" recombination. We show that the same expression for the binding probability holds also for "mixed" reaction products. Two different derivations are pursued, yielding seemingly different expressions, which nevertheless coincide numerically. These binding probabilities and their Laplace transforms are compared graphically with those from the contact reactivity model and a previously suggested coarse grained approximation. Mathematically, all these Laplace transforms conform to a single generic equation, in which different reactionless Green's functions, g(s), are incorporated. In most of parameter space the sensitivity to g(s) is not large, so that the binding probabilities for the volume and contact reactivity models are rather similar.

Symmetric and Asymmetric Double Gate MOSFET Modeling

  • Abebe, H.;Cumberbatch, E.;Morris, H.;Tyree, V.;Numata, T.; Uno, S.
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.9 no.4
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    • pp.225-232
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    • 2009
  • An analytical compact model for the asymmetric lightly doped Double Gate (DG) MOSFET is presented. The model is developed using the Lambert Function and a 2-dimensional (2-D) parabolic electrostatic potential approximation. Compact models of the net charge and channel current of the DG-MOSFET are derived in section 2. Results for the channel potential and current are compared with 2-D numerical data for a lightly doped DG MOSFET in section 3, showing very good agreement.

A Balanced Model Reduction for Fuzzy Systems with Time Varying Delay

  • Yoo, Seog-Hwan;Park, Byung-Jae
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.4 no.1
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    • pp.1-6
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    • 2004
  • This paper deals with a balanced model reduction for T-S(Takagi-Sugeno) fuzzy systems with time varying state delay. We define a generalized controllability gramian and a generalized observability gramian for a stable T-S fuzzy delayed systems. We obtain a balanced state space realization using the generalized controllability and observability gramian and obtain a reduced model by truncating states from the balanced state space realization. We also present an upper bound of the approximation error. The generalized controllability gramian and observability gramian can be computed from solutions of linear matrix inequalities. We demonstrate the efficacy of the suggested method by illustrating a numerical example.

A Study on the Robust Design Using Kriging Surrogate Models (크리깅 근사모델을 이용한 강건설계에 관한 연구)

  • Lee, Kwon-Hee;Cho, Yong-Chul;Park, Gyung-Jin
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.870-875
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    • 2004
  • Current trend of design technologies shows engineers to objectify or automate the given decision-making process. The numerical optimization is an example of such technologies. However, in numerical optimization, the uncertainties are uncontrollable to efficiently objectify or automate the process. To better manage these uncertainties, Taguchi method, reliability-based optimization and robust optimization are being used. To obtain the target performance with the maximum robustness is the main functional requirement of a mechanical system. In this research, the robust design strategy is developed based on the DACE and the global optimization approaches. The DACE modeling, known as the one of Kriging interpolation, is introduced to obtain the surrogate approximation model of the system. The robustness is determined by the DACE model to reduce the real function calculations. The simulated annealing algorithm of global optimization methods is adopted to determine the global robust design of a surrogated model. The mathematical problems and the MEMS design problem are investigated to show the validity of the proposed method.

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Bayesian Hypothesis Testing in Multivariate Growth Curve Model.

  • Kim, Hea-Jung;Lee, Seung-Joo
    • Journal of the Korean Statistical Society
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    • v.25 no.1
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    • pp.81-94
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    • 1996
  • This paper suggests a new criterion for testing the general linear hypothesis about coefficients in multivariate growth curve model. It is developed from a Bayesian point of view using the highest posterior density region methodology. Likelihood ratio test criterion(LRTC) by Khatri(1966) results as an approximate special case. It is shown that under the simple case of vague prior distribution for the multivariate normal parameters a LRTC-like criterion results; but the degrees of freedom are lower, so the suggested test criterion yields more conservative test than is warranted by the classical LRTC, a result analogous to that of Berger and Sellke(1987). Moreover, more general(non-vague) prior distributions will generate a richer class of tests than were previously available.

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The Development of a Model to Predict Beach Evolution (해빈변형 예측 모델의 개발)

  • 안수한;김인철
    • Water for future
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    • v.21 no.3
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    • pp.299-307
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    • 1988
  • A model is developed to predict the long-term beach evolution near the long groin considering the combined effects of variation of sea level, wave refraction and diffraction. A numerical solution for this problem is solved by considering the equation as a system subject to the boundary condition for longshore transport rate. One possible method is the centered Crank-Nicolson type implicit scheme. The results which ard obtained by applying this numerical model at Songdo beach, Pohang are as follows. Owing to the approximation used in the calculation of the refraction and diffraction coefficients, the discrepancy between the predicted and actual shoreline occurs to the interior of long groin. However, the shape of shoreline at the exterier of long groins agrees well.

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Analysis of Microchannel Flows Using a Model Boltzmann Equation (모델 볼츠만방정식을 이용한 마이크로채널 유동 해석)

  • Chung C. H.
    • 한국전산유체공학회:학술대회논문집
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    • 2004.03a
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    • pp.99-105
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    • 2004
  • A kinetic theory analysis is made of low-speed gas flows in microchannels. The Boltzmann equation simplified by a collision model is solved by means of a finite difference approximation with the discrete ordinate method. The method does not suffer from statistical noise which is common in particle based methods and requires much less amount of computational effort. Calculations are made for flows in simple microchannels and a microfluidic system consisting of two microchannels in series. The method is assessed by comparing the results with those from several different methods and available experimental data.

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Sensitivity analysis of software reliability metric estimator for Software Reliability Growth Models (신뢰성 성장모형에 대한 소프트웨어 신뢰성 메트릭 추정량의 민감도 분석)

  • Kim, Dae-Kyung
    • Journal of Korean Society for Quality Management
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    • v.37 no.3
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    • pp.33-38
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    • 2009
  • When we estimate the parameters of software reliability models, we usually use maximum liklihood estimator(MLE). But this method is required a large data set. In particular, when we want to estimate it with small observed data such as early stages of testing, we give rise to the non-existence of MLE. Therefore, it is interesting to look into the influence of parameter estimators obtained using MLE. In this paper, we use two non-homogenous poisson process software reliability growth model: delayed S-shaped model and log power model. In this paper, we calculate the sensitivity of estimators about failure intensity function for two SRGMs respectively.