• Title/Summary/Keyword: Iterative Error Analysis

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Analysis a LDPC code in the VDSL system (VDSL 시스템에서의 LDPC 코드 연구)

  • Joh, Kyung-Hyun;Kang, Hee-Hoon;Yi, Sang-Hoi;Na, Kuk-Hwan
    • Proceedings of the IEEK Conference
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    • 2006.06a
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    • pp.999-1000
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    • 2006
  • The LDPC Code is focusing a powerful FEC(Forward Error Correction) codes for 4G Mobile Communication system. LDPC codes are used minimizing channel errors by modeling AWGN Channel as VDSL system. The performance of LDPC code is better than that of turbo code in long code word on iterative decoding algorithm. LDPC code are encoded by sparse parity check matrix. there are decoding algorithms for a LDPC code, Bit Flipping, Message passing, Sum-Product. Because LDPC Codes use low density parity bit, mathematical complexity is low and relating processing time becomes shorten.

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AN EFFICIENT SECOND-ORDER NON-ITERATIVE FINITE DIFFERENCE SCHEME FOR HYPERBOLIC TELEGRAPH EQUATIONS

  • Jun, Young-Bae;Hwang, Hong-Taek
    • The Pure and Applied Mathematics
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    • v.17 no.4
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    • pp.289-298
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    • 2010
  • In this paper, we propose a second-order prediction/correction (SPC) domain decomposition method for solving one dimensional linear hyperbolic partial differential equation $u_{tt}+a(x,t)u_t+b(x,t)u=c(x,t)u_{xx}+{\int}(x,t)$. The method can be applied to variable coefficients problems and singular problems. Unconditional stability and error analysis of the method have been carried out. Numerical results support stability and efficiency of the method.

HYBRIDIZABLE DISCONTINUOUS GALERKIN METHOD FOR ELLIPTIC EQUATIONS WITH NONLINEAR COEFFICIENTS

  • MINAM, MOON
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.26 no.4
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    • pp.244-262
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    • 2022
  • In this paper, we analyze the hybridizable discontinuous Galerkin (HDG) method for second-order elliptic equations with nonlinear coefficients, which are used in many fields. We present the HDG method that uses a mixed formulation based on numerical trace and flux. Under assumptions on the nonlinear coefficient and H2-regularity for a dual problem, we prove that the discrete systems are well-posed and the numerical solutions have the optimal order of convergence as a mesh parameter. Also, we provide a matrix formulation that can be calculated using an iterative technique for numerical experiments. Finally, we present representative numerical examples in 2D to verify the validity of the proof of Theorem 3.10.

Optimal Parameter Selection by Health Monitoring of Gas Turbine Engines using Gas Path Analysis (GPA를 이용한 가스터빈 엔진의 성능진단에 의한 최적 계측변수 선정에 관한 연구)

  • ;Riti Singh
    • Journal of the Korean Society of Propulsion Engineers
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    • v.3 no.1
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    • pp.24-33
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    • 1999
  • For performance prediction and diagnostics of gas turbine engines, linear and non-linear gas path analysis are applied. In order to find optimal instrument parameters to detect the physical faults such as (outing, erosion and corrosion, non-linear gas path analysis is used. A typical industrial gas turbine engine, TB5000, is used to study the effect of physical faults on engine performance. Through comparison of RMS error between linear and non-linear gas path analysis, the optimal instrument parameters can be defined. As a result, it is found that the linear GPA has the level of error introduced by the assumption of the linear mode: can be of the same order of magnitude as the fault being soughtwhile the non-linear GPA can be solved the non-linear relationships between dependent and independent parameters using an iterative method such as the Newton-Raphson method with sufficient accuracy.

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Comparison of Estimation Methods in NONMEM 7.2: Application to a Real Clinical Trial Dataset (실제 임상 데이터를 이용한 NONMEM 7.2에 도입된 추정법 비교 연구)

  • Yun, Hwi-Yeol;Chae, Jung-Woo;Kwon, Kwang-Il
    • Korean Journal of Clinical Pharmacy
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    • v.23 no.2
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    • pp.137-141
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    • 2013
  • Purpose: This study compared the performance of new NONMEM estimation methods using a population analysis dataset collected from a clinical study that consisted of 40 individuals and 567 observations after a single oral dose of glimepiride. Method: The NONMEM 7.2 estimation methods tested were first-order conditional estimation with interaction (FOCEI), importance sampling (IMP), importance sampling assisted by mode a posteriori (IMPMAP), iterative two stage (ITS), stochastic approximation expectation-maximization (SAEM), and Markov chain Monte Carlo Bayesian (BAYES) using a two-compartment open model. Results: The parameters estimated by IMP, IMPMAP, ITS, SAEM, and BAYES were similar to those estimated using FOCEI, and the objective function value (OFV) for diagnosing the model criteria was significantly decreased in FOCEI, IMPMAP, SAEM, and BAYES in comparison with IMP. Parameter precision in terms of the estimated standard error was estimated precisely with FOCEI, IMP, IMPMAP, and BAYES. The run time for the model analysis was shortest with BAYES. Conclusion: In conclusion, the new estimation methods in NONMEM 7.2 performed similarly in terms of parameter estimation, but the results in terms of parameter precision and model run times using BAYES were most suitable for analyzing this dataset.

Analysis and Design of a Passive Harmonic Filter for a Three-Phase Rectifier (3상 정류기부하에 대한 수동 고조파필터의 해석 및 설계)

  • Cho, Young-Sik;Cha, Han-Ju
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.58 no.3
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    • pp.316-322
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    • 2009
  • This paper presents an analytical design method of a passive harmonic filter for a three-phase diode rectifier and uses a new transfer function approach in the analysis and design. The transfer function approach derives an analytical formulation of an utility system including passive filters with a basis of Laplace transform and provides a graphical formulation so that a visualized insight into an interaction between individual filter and system response can be attainted. Harmonic impedance, voltage division and current division transfer function are used as a design tool, which makes a calculated filter parameters to satisfy IEEE-519 distortion limits. A simple five-step design procedure is introduced in the filter design, which consists of system analysis, selection of PCC(Point of Common Coupling), filter specification calculation, appropriate filter design for system and filter implementation. Philosophy governing the design procedure is based on a numerical/graphical iterative solution, trial and error with visualization feed-back based on "algebra on the graph". Finally, performance of the designed passive harmonic filter is verified by experiment and shows that 5th, 7th, 9th, 11th and 13th harmonics are decreased within IEEE-519 distortion limits, respectively.

A Study on the Morphological Analysis of Sperm Using Hough Transform (Hough변환을 이용한 정자의 형태학적 특성 분석방법에 관한 연구)

  • Park, Kwang-Suk;Yi, Won-Jin;Paick, Jae-Seung
    • Journal of Biomedical Engineering Research
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    • v.17 no.1
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    • pp.25-32
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    • 1996
  • A new analytic method has been developed for the analysis of sperm morphology using Hough transform. This method is based on the characteristic that sperm heads have elliptic shape in addition to the density difference with the background Sperm heads are represented in elliptic form with five parameter, and the optimal parameters are estimated by iterative Hough transform. To reduce processing time practically, we restricted the transformed space in minimum volume and moved the searching volume to the maximum gradient for the estimated error. Morphological parameters were calculated from estimated sperm head boundaries without further processing.

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Analysis of Radiation Characteristics of Ka-Band Von Karman Radome Based on IPO Scheme (IPO(Iterative PO)를 이용한 Ka 대역 Von Karman 레이돔 방사 특성 해석)

  • Koh, Il-Suek;Park, Chang-Hyun;Sun, Woong
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.22 no.12
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    • pp.1148-1154
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    • 2011
  • In this paper, the radiation properties of a Ka-band Von Karman radome are analyzed by using an IPO(Iterative PO) scheme. Since the operating frequency is very high, and the size of the considered radome is large, a numerical method cannot be directly applied to calculate the properties of the radome such as transmission loss, radome pattern, boresight error, etc. Hence, in this paper, an IPO scheme is used, which can efficiently consider the multiple interaction inside the radome. Also, the IPO scheme is based on the PO scheme, which is efficient and fast in a numerical point of view. The proposed scheme is verified based on Ku-band measurement data, and its feasibility for applicability to a higher frequency simulation is addressed through a simulation at the Ka-band.

An Efficient Matrix-Vector Product Algorithm for the Analysis of General Interconnect Structures (일반적인 연결선 구조의 해석을 위한 효율적인 행렬-벡터 곱 알고리즘)

  • Jung, Seung-Ho;Baek, Jong-Humn;Kim, Joon-Hee;Kim, Seok-Yoon
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.38 no.12
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    • pp.56-65
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    • 2001
  • This paper proposes an algorithm for the capacitance extraction of general 3-dimensional conductors in an ideal uniform dielectric that uses a high-order quadrature approximation method combined with the typical first-order collocation method to enhance the accuracy and adopts an efficient matrix-vector product algorithm for the model-order reduction to achieve efficiency. The proposed method enhances the accuracy using the quadrature method for interconnects containing corners and vias that concentrate the charge density. It also achieves the efficiency by reducing the model order using the fact that large parts of system matrices are of numerically low rank. This technique combines an SVD-based algorithm for the compression of rank-deficient matrices and Gram-Schmidt algorithm of a Krylov-subspace iterative technique for the rapid multiplication of matrices. It is shown through the performance evaluation procedure that the combination of these two techniques leads to a more efficient algorithm than Gaussian elimination or other standard iterative schemes within a given error tolerance.

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Simplified Load Distribution Factor Equation for the Design of Composite Steel Girder Bridges (강합성교 설계를 위한 하중분배계수 간략식)

  • Chung, Wonseok
    • Journal of Korean Society of Steel Construction
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    • v.17 no.2 s.75
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    • pp.131-138
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    • 2005
  • The AASHTO wheel load distribution factor (LDF) equation has been with us since 1931 and has undergone minor modifications. In 1994, an entirely new procedure was introduced in the AASHTO LRFD code based on parametric studies and finite element analyses. However, this LDF equation involves a longitudinal stiffness parameter, the design of which is not initially known. Thus, an iterative procedure is required to correctly determine the LDF value. The increased level of complexity puts undue burden on the designer resulting in a higher likelihood for misinterpretation and error. In this study, based on current AASHTO LRFD framework, a new simplified equation is developed that does not require an iterative procedure. A total of 43 representative composite steel girder bridges are selected and analyzed using a finite element model.The new simplified equation produces LDF values that are always conservative when compared to those obtained from the finite element analyses and are generally greater than the LDF obtained using AASHTO LRFD specification. Therefore, the proposed simplified equation is expected to streamline the determination of LDF for bridge design without sacrificing safety.