• 제목/요약/키워드: Numerical Approximation

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페이딩 디스퍼시브 채널에서 DS/SS DPSK 통신 시스템의 성능 분석 (Performacne Analysis of DS/SS DPSK Communication Systems over Fading Dispersive Channels)

  • 김기준;강병권;황금찬
    • 한국통신학회논문지
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    • 제18권7호
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    • pp.959-969
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    • 1993
  • 본 논문에서는 페이딩 디스퍼시브 채널에서 시간 및 주락수축상에서의 확산 현상을 고려하여 DS/SS DPSK 통신 시스템의 성능을 분석하었다. WSSUS 채널 모델을 이용하여 채널의 시간과 주파수축상의확산 현상의 정도를 각각 다중 경로 확산량과 도플러 확산량으로 표현하고, DS/SS DPSK 통신의 오율을 채널과 시스템의 파라메터에 대한 식으로 유도하였다. 또한, 계산을 보다 간단히 하기 위하여 주파수축 확산 현상에 대하여 근사적 계산 방법을 제시하고, 이 근사화식을 이용하여 레일리 및 라이시안 페이딩 채널에서 DS/SS DPSK통신 시스템의 오율 특성을 칩 수의 변화에 따라 비교분석하였다.

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복수휴가형 이산시간 GI/G/1 대기체계에 대한 수정부가변수법 (On the Modified Supplementary Variable Technique for a Discrete-Time GI/G/1 Queue with Multiple Vacations)

  • 이두호
    • 대한산업공학회지
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    • 제42권5호
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    • pp.304-313
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    • 2016
  • This work suggests a new analysis approach for a discrete-time GI/G/1 queue with multiple vacations. The method used is called a modified supplementary variable technique and our result is an exact transform-free expression for the steady state queue length distribution. Utilizing this result, we propose a simple two-moment approximation for the queue length distribution. From this, approximations for the mean queue length and the probabilities of the number of customers in the system are also obtained. To evaluate the approximations, we conduct numerical experiments which show that our approximations are remarkably simple yet provide fairly good performance, especially for a Bernoulli arrival process.

New Parameterizations for Multi-Step Unconstrained Optimization

  • Moghrabi, I.A.;Kassar, A.N
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제3권1호
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    • pp.71-79
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    • 1999
  • We consider multi-step quasi-Newton methods for unconstrained optimization. These methods were introduced by Ford and Moghrabi [1, 2], who showed how interpolating curves could be used to derive a generalization of the Secant Equation (the relation normally employed in the construction of quasi-Newton methods). One of the most successful of these multi-step methods makes use of the current approximation to the Hessian to determine the parameterization of the interpolating curve in the variable-space and, hence, the generalized updating formula. In this paper, we investigate new parameterization techniques to the approximate Hessian, in an attempt to determine a better Hessian approximation at each iteration and, thus, improve the numerical performance of such algorithms.

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An EM Algorithm for a Doubly Smoothed MLE in Normal Mixture Models

  • Seo, Byung-Tae
    • Communications for Statistical Applications and Methods
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    • 제19권1호
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    • pp.135-145
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    • 2012
  • It is well known that the maximum likelihood estimator(MLE) in normal mixture models with unequal variances does not fall in the interior of the parameter space. Recently, a doubly smoothed maximum likelihood estimator(DS-MLE) (Seo and Lindsay, 2010) was proposed as a general alternative to the ordinary maximum likelihood estimator. Although this method gives a natural modification to the ordinary MLE, its computation is cumbersome due to intractable integrations. In this paper, we derive an EM algorithm for the DS-MLE under normal mixture models and propose a fast computational tool using a local quadratic approximation. The accuracy and speed of the proposed method is then presented via some numerical studies.

계단모양 소속 함수 근사를 이용한 구간 2형 퍼지 시스템의 관측기 기반 제어기 설계 (Design of Observer-based Controller for Interval Type-2 Fuzzy System Using Staircase Membership Function Approximation)

  • 김한솔;주영훈;박진배
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2011년도 제42회 하계학술대회
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    • pp.1732-1733
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    • 2011
  • This paper presents observer-based controller design for interval type-2 fuzzy system with staircase membership approximation. In type-2 fuzzy case, membership function is itself fuzzy set itself. Thus, type-2 fuzzy system can deal with parametric uncertainties of nonlinear system by capturing the uncertainties in membership function. Likewise, stabilization condition of type-2 fuzzy system is derived from quadratic Lyapunov function, and it goes to linear matrix inequality. Furthermore, in this paper, to relax the conservativeness of stabilization condition, staircase membership function approximating method is applied. Observer-based control method is adopted to control system which has some unmeasurable states. To prove suitability of our proposed method, numerical example is presented.

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원전 격납건물 돔의 축대칭 텐던 모델링 기법 (Axisymmetric Modeling of Prestressing Tendons of the Nuclear Containment Building Dome)

  • 전세진;정철헌;김영진;정연석
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2004년도 춘계 학술발표회 제16권1호
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    • pp.758-761
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    • 2004
  • Prestressing tendons of the nuclear containment building dome are arranged in a non-axisymmetric manner. However, simple axisymmetric modeling of the containment building is often employed to estimate the structural behavior for, e.g. the ultimate pressure, which requires the axisymmetric approximation of the actual tendon arrangements of the dome. A procedure is proposed that can devise the actual 3-dimensional tendon stiffness and prestressing effect into the axisymmetric model. A numerical example of the CANDU type is presented to verify the procedure and to estimate the amount of approximation.

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최적설계를 위한 반응표면의 생성에 관한 연구 (A Study on the Construction of Response Surfaces for Design Optimization)

  • 홍경진;전광기;조영석;최동훈;이세정
    • 대한기계학회논문집A
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    • 제24권6호
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    • pp.1408-1418
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    • 2000
  • Gradient-based optimization methods are inefficient in applications which require expensive function evaluations, and useless in applications where objective and/or constraint functions are 'noisy' due to modeling and cumulative numerical inaccuracy since gradient evaluation results cannot be reliable. Moreover, it is difficult to be integrated with commercial analysis software, and they cannot be employed when only experimental analysis results are available. In this research an optimization program based on a response surface method has been developed to overcome the aforementioned difficulties. Various methods for design of experiments and new proposed approximation models are implemented in the program. The effectiveness of the optimization program is tested on several test problems and results are discussed.

베어링 제조공정중 궤도단조공정의 유한요소해석 (Finite Element Analysis of Orbital Forming Process in Bearing Manufacturing)

  • 문호근;이민철;정재헌;전만수
    • 소성∙가공
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    • 제14권1호
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    • pp.29-36
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    • 2005
  • In this paper, a useful rigid-plastic finite element method with various numerical schemes is presented for simulation of an orbital forming process. A new approach to reduce volume change during simulation is presented and an approximation method to reduce computational time is also presented. An actual orbital forming process found in a bearing making industry is simulated by the presented approach. The simulated results of the orbital forming process are compared with the experimental results.

부구조화 기반 전역-부분 근사화 구조재해석에 의한 구조최적화 (Structural Optimization by Global-Local Approximations Structural Reanalysis based on Substructuring)

  • 김태봉;서상구;김창운
    • 한국안전학회지
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    • 제12권3호
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    • pp.120-131
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    • 1997
  • This paper presents an approximate reanalysis methods of structures based on substructuring for an effective optimization of large-scale structural systems. In most optimal design procedures the analysis of the structure must be repeated many times. In particular, one of the main obstacles in the optimization of structural systems are involved high computational cost and expended long time in the optimization of large-scale structures. The purpose of this paper is to evaluate efficiently the structural behavior of new designs using information from previous ones, without solving basic equations for successive modification in the optimal design. The proposed reanalysis procedure is combined Taylor series expansions which is a local approximation and reduced basis method which is a global approximation based on substructuring. This technique is to choose each of the terms of Taylor series expansions as the basis vector of reduced basis method in substructuring system which is one of the most effective analysis of large -scale structures. Several numerical examples illustrate the effectiveness of the solution process.

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New Guidance Filter Structure for Homing Missiles with Strapdown IIR Seeker

  • Kim, Tae-Hun;Kim, Jong-Han;Kim, Philsung
    • International Journal of Aeronautical and Space Sciences
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    • 제18권4호
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    • pp.757-766
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    • 2017
  • For implementing the proportional navigation guidance law on passive homing missiles equipped with strapdown imaging infrared seekers, the line-of-sight angles and rates with respect to the inertial frame should be estimated by carefully handling the parasitic instability effect due to the seeker's latency. By introducing a new state vector representation along with the Pade approximation for compensating the time-delay of the seeker, this paper proposes a new guidance filter structure, stochastic dynamic models and measurement equations, in three-dimensional homing problem. Then, it derives the line-of-sight angle and rate estimator in general two-dimensional engagement by applying the extended Kalman filter to the proposed structure. The estimation performance and the characteristics of the proposed filter were evaluated via a series of numerical experiments.