• 제목/요약/키워드: 수렴도

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Effects of Characteristic Condition Number on Convergence in Calculating Low Mach Number Flows, I : Euler Equations (저속 유동 계산의 수렴성에 미치는 특성 조건수의 영향 I : 오일러 방정식)

  • Lee, Sang-Hyeon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.2
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    • pp.115-122
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    • 2008
  • The effects of characteristic condition number on the convergence of preconditioned Euler equations were investigated. The two-dimensional preconditioned Euler equations adopting Choi and Merkle's preconditioning and the temperature preconditioning are considered. Preconditioned Roe's FDS scheme was adopted for spatial discretization and preconditioned LU-SGS scheme was used for time integration. It is shown that the convergence characteristics of the Euler equations are strongly affected by the characteristic condition number, and there is an optimal characteristic condition number for a problem. The optimal characteristic condition numbers for the Choi and Merkle's preconditioning and temperature preconditioning are different.

Effects of Characteristic Condition Number on Convergence in Calculating Low Mach Number Flows, II : Navier-Stokes Equations (저속 유동 계산의 수렴성에 미치는 특성 조건수의 영향 II : 나비어스톡스 방정식)

  • Lee, Sang-Hyeon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.2
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    • pp.123-130
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    • 2008
  • The effects of characteristic condition number on the convergence of preconditioned Navier-Stokes equations were investigated. The two-dimensional preconditioned Navier-Stokes adopting Choi and Merkle's preconditioning and the temperature preconditioning are considered. Preconditioned Roe's FDS scheme was adopted for spatial discretization and preconditioned LU-SGS scheme was used for time integration. It is shown that the convergence characteristics of the Navier-Stokes equations are strongly affected by the characteristic condition number. Also it is shown that the optimal characteristic condition numbers for viscous flows are larger than that in inviscid flows.

A Study on Least Mean Fourth (LMF) and Least Mean Squares-Fourth (LMSF) Blind Equalization Algorithm (최소평균 사제곱 (LMF) 및 최소평균 제곱과 사제곱을 혼합한 형태 (LMSF)의 블라인드 등화 알고리즘에 관한 연구)

  • Yoon, Tae-Sung;Byun, Youn-Shik
    • The Journal of the Acoustical Society of Korea
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    • v.16 no.3
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    • pp.38-44
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    • 1997
  • In this study, wer derived LMF-Sato, LMSF-Sato complex blind equalization algorithms for complex data. And then, the convergence rates, the convergence characteristics at the steady state and the stability of the proposed LMF and LMSF blind equalization algorithms are compared with those of LMS-Sato blind equalization algorithm. In simulations with 16-QAM data, LMF-Sato and LMSF-Sato algorithms showed better performance comparing with LMS-Sato algorithm generally. When the initial estimation errors of the weights of the equalizer are large, LMF-Sato algorithm showed ill characteristic in stability. However, LMSF-Sato algorithm has good covergence characteristics and preserves robustness.

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The Performance Improvement Effect of the Convergence Rate and Interference Cancellation in SLC (적응 SLC에서의 수렴속도 및 간섭제거의 성능 개선)

  • Kim, Eun-Jung;Kim, Se-Yon;Lee, Byung-Seub;Kim, Jin-Ho;Park, Sung-Chul
    • Journal of Advanced Navigation Technology
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    • v.3 no.2
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    • pp.167-173
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    • 1999
  • This paper showed the convergence rate and the performance of interference cancellation using Applebaum and DMI algorithms in adaptive sidelobe canceller. Applebaum algorithm is used widely due to simplicity but it has a slow convergence rate and the problem of eigenvalue spread. DMI algorithm converges rapidly but has computational load and hardware complexity. We compared the performance and complexity using Applebaum and DMI algorithms in Adaptive SLC that requires rapid convergence rate and the performance and conclude that DMI algorithm is more efficient for adaptive SLC.

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A Study on Improvement of Genetic Algorithm Operation Using the Restarting Strategy (재시동 조건을 이용한 유전자 알고리즘의 성능향상에 관한 연구)

  • 최정묵;이진식;임오강
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.2
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    • pp.305-313
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    • 2002
  • The genetic algorithm(GA), an optimization technique based on the theory of natural selection, has proven to be relatively robust means to search for global optimum. It is converged near to the global optimum point without auxiliary information such as differentiation of function. When studying some optimization problems with continuous variables, it was found that premature saturation was reached that is no further improvement in the object function could be found over a set of iterations. Also, the general GA oscillates in the region of the new global optimum point so that the speed of convergence is decreased. This paper is to propose the concept of restarting and elitist preserving strategy as a measure to overcome this difficulty. Some benchmark examples are studied involving 3-bar truss and cantilever beam with plane stress elements. The modifications to GA improve the speed of convergence.

Performance Improvement of Tree Structured Subband Filtering (트리구조 필터뱅크를 이용한 서브밴드 필터링에서의 수렴 성능 향상)

  • 최창권;조병모
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.4 no.2
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    • pp.407-416
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    • 2000
  • Adaptive digital filtering and noise cancelling technique using a tree structured filter bank are presented to reduce a undesirable aliasing due to the decimation of filtered output and improve the performance in terms of mean-square error and the convergence speed using a aliasing canceller. A signal is split into two subband by analysis filter bank and decimated by decimator and reconstructed by interpolation technique and synthesis filter bank. A variable step-size LMS algorithm is used to improve the convergence speed in case of existing the measurement noise in desired input of filter. It is shown by computer simulation that the proposed subband structure in this paper is superior to conventional subband filter structure in terms of mean-square error and convergence speed.

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A Study on Convergency of Tunnel Displacement using Control Chart Method (관리도 기법을 이용한 터널 변위수렴 특성에 관한 연구)

  • Yim, Sung-Bin;Kim, Sung-Kwon;Seo, Yong-Seok;Park, Si-Hyun
    • The Journal of Engineering Geology
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    • v.17 no.2 s.52
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    • pp.197-204
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    • 2007
  • Tunnel deformation happens by excavation. After installation of support, tunnel is gradually stabilized over time. Effect of excavation on tunnel behavior decreases as increase of distance from face. If the time that the displacement converges by tunnel stabilization is estimated, processes after stabilization can be advanced and economic loss can be reduced. In this study, the distance of displacement convergent point from face in the tunnel constructed on sedimentary rock is estimated using control chart method. As the results of analysis using a control of chart, displacements in a sedimentary rock tunnel are converged within 100 m from each tunnel face.

A Study on Convergence Property of Iterative Learning Control (반복 학습 제어의 수렴 특성에 관한 연구)

  • Park, Kwang-Hyun;Bien, Z. Zenn
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.38 no.4
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    • pp.11-19
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    • 2001
  • In this paper, we study the convergence property of iterative learning control (ILC). First, we present a new method to prove the convergence of ILC using sup-norm. Then, we propose a new type of ILC algorithm adopting intervalized learning scheme and show that the monotone convergence of the output error can be obtained for a given time interval when the proposed ILC algorithm is applied to a class of linear dynamic systems. We also show that the divided time interval is affected from the learning gain and that convergence speed of the proposed learning scheme can be increased by choosing the appropriate learning gain. To show the effectiveness of the proposed algorithm, two numerical examples are given.

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Improvement of the Convergence for the Green's Function in Three Layered Media (3층매질 Green함수의 수렴성 개선)

  • Hwang, Jae-Ho
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2007.10a
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    • pp.219-222
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    • 2007
  • The paper deals with the rigorous analysis of three layered media structures. The dyadic Green's function for three layer medium is derived. The Green's functions belonging to the kernel of the integral equation are expressed as Sommerfeld integrals, in which surface wave effects are automatically included. We propose this integral representation as the most appropriate in the spatial domain analysis of slive structure. Also, we used extraction method for the convergence of this integral function. Finally, some numerical results are presented. These computed value show good agreement with proposed this method.

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A Study on the Analysis of Accuracy for Terrestrial Convergent Photos by Collinearity Condition (공선조건에 의한 지상수렴사진의 정확도해석에 관한 연구)

  • 강준묵;김충평;오원진;이진덕
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.3 no.2
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    • pp.39-47
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    • 1985
  • This study analyzes space resection and space intersection for terrestrial convergent photos taken on the straight line and the circular line by collinearity condition. The purpose is to investigate the properties of convergent case, and to suggest the optimum angle of convergence. Accuracies at convergent angles less than 20$^\circ$ are lower than those in normal photos, but by changing from 20$^\circ$to 90$^\circ$ the accuracy is improving with the highest at 90$^\circ$ convergence. Also, convergent photos on circular line is far higher than those on straight line in accuracies of results, therefore it is expected to apply this results effectively for precise analysis of various facilities.

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