• 제목/요약/키워드: Eigenvalue and Eigenvector

검색결과 127건 처리시간 0.024초

전달영점을 이용한 이상검출필터의 고유구조 해석 및 새로운 구성 방법 (An Analysis of the Eigenstructure and a New Design Method of Fault Detection Filters using Transmission Zeros)

  • 김용민;박재홍
    • 대한전기학회논문지:전력기술부문A
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    • 제48권10호
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    • pp.1264-1271
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    • 1999
  • In this paper, an efficient method of analysis and design of fault detection filter is presented. Since the directional constraint is applied to the eigenstructure associated with the detection space, an eigenvector is determined by the eigenvalues associated with other eigenvectors. Further, the assignment of a pair of eigenvalue and eigenvector leads to the fixation of overall eigenstructure related with the detection space. Using the transmission zeros and the transmission zero vectors, these phenomenon are clearly proven, and an efficient algorithm for design of the fault detection filters is presented.

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Fluctuating wind loads across gable-end buildings with planar and curved roofs

  • Ginger, J.D.
    • Wind and Structures
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    • 제7권6호
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    • pp.359-372
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    • 2004
  • Wind tunnel model studies were carried out to determine the wind load distribution on tributary areas near the gable-end of large, low-rise buildings with high pitch planar and curved roof shapes. Background pressure fluctuations on each tributary area are described by a series of uncorrelated modes given by the eigenvectors of the force covariance matrix. Analysis of eigenvalues shows that the dominant first mode contributes around 40% to the fluctuating pressures, and the eigenvector mode-shape generally follows the mean pressure distribution. The first mode contributes significantly to the fluctuating load effect, when its influence line is similar to the mode-shape. For such cases, the effective static pressure distribution closely follows the mean pressure distribution on the tributary area, and the quasi-static method would provide a good estimate of peak load effects.

MIMO 시스템에서 최적 검출 기법을 위한 궤환 Semi-Definite Relaxation 검출기 (Feedback Semi-Definite Relaxation for near-Maximum Likelihood Detection in MIMO Systems)

  • 박수빈;이동진;변윤식
    • 한국통신학회논문지
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    • 제33권12C호
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    • pp.1082-1087
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    • 2008
  • MIMO 시스템에서 ML 검출 기법은 많은 다른 검출기들보다 우수한 성능을 보인다. 그러나 ML 검출기법은 NP-hard 문제로 인해 실제 시스템에서 사용하기 어려운 단점을 가지고 있다. 이것은 polynomial-time 안에 최적의 해 (optimal solution)를 찾을 수 없음을 의미한다. 본 논문에서는 ML problem을 적용한 SDR (Semi-Definite Relaxation)에 궤환기법을 통한 검출 알고리즘을 제안한다. 이는 SDR에 의해 구한 최적의 해를 spectral decomposition을 이용해 우세한 eigenvector를 찾아 송신 신호의 확률 분포를 구하고, 이를 수신 신호에 궤환 시킨다. 이는 또 다른 ML problem으로써 다시 SDR를 통해 최적의 해를 구하고 우세한 eigenvector에 해당하는 송신 신호 확률을 구한다. 이 확률은 ML problem에 해당하는 최적의 값으로 추정 송신 신호를 검출할 수 있다. 이러한 기법을 통해 최적 성능을 갖는 ML 검출 기법의 성능에 보다 더 가깝게 접근하였다.

고유벡터 분석을 이용한 조명 불변 영상 검색 (Illumination Invariant Image Retrieval using Eigenvector Analysis)

  • 김용훈;이태홍
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2001년도 제14회 신호처리 합동 학술대회 논문집
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    • pp.903-906
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    • 2001
  • 본 논문에서는 조명의 변화에 의해 컬러 영상의 컬러 성분이 달라지더라도 영상 내 컬러간의 편차값을 나타내는 공분산 행렬(covariance matrix)의 고유벡터(eigenvector)와 영상 내 화소들의 컬러 성분과의 상관관계는 거의 변화하지 않는 특징을 이용한 조명 변화에 강인한 영상 검색 방법을 제안한다. 제안된 방법은 영상에서 컬러 성분들의 공분산 행렬과 공분산 행렬의 고유치(eigenvalue), 고유벡터를 계산한 후, 가장 큰 고유치에 관계된 고유벡터로 화소를 투영시키고, 투영된 벡터의 크기 성분으로 영상을 재구성한다. 재구성된 영상으로부터 7개의 불변 모멘트(moment)를 계산하고, 공분산의 가장 큰 고유치를 가중치로 부과하여 특징벡터를 추출한다. 7개의 불변 모멘트로부터 구한 특징벡터는 영상 내 물체의 이동, 영상의 회전, 크기 변화뿐만 아니라, 조명의 변화에 의해 컬러가 변화할 경우에도 유사한 영상을 잘 검색한다. 제안된 방법의 성능 확인을 위하여 5가지 조명에서 얻은 영상 데이터베이스를 이용하여 실험하였으며, 실험 결과 히스토그램 인터섹션에 비해 적은 특징량으로 검색이 가능하면서 조명 변화에도 대응할 수 있는 검색 결과를 얻을 수 있었다.

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USE OF AN ORTHOGONAL PROJECTOR FOR ACCELERATING A QUEUING PROBLEM SOLVER

  • Park, Pil-Seong
    • Journal of applied mathematics & informatics
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    • 제3권2호
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    • pp.193-204
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    • 1996
  • Overflow queuing models are ofter analyzed by explicitly solving a large sparse singular linear systems arising from Kolmogorov balance equation. The system is often converted into an eigenvalue problem the dominant eigenvector of which is the desired null vector. In this paper we convert an overflow queuing problem the dominant eigenvector of which is the desired null vector. In this paper we convert an overflow queuing problem into an overflow queuing problem into an eigen-value problem into an eigen-value problem of size 1/2 of the original. Then we devise an orthogonal projector that enhances its convergence by removing unsanted eigen-components effectively. Numerical result with some suggestion is given at the end.

Natural frequency error estimation for 3D brick elements

  • Stephen, D.B.;Steven, G.P.
    • Structural Engineering and Mechanics
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    • 제5권2호
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    • pp.137-148
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    • 1997
  • In computing eigenvalues for a large finite element system it has been observed that the eigenvalue extractors produce eigenvectors that are in some sense more accurate than their corresponding eigenvalues. From this observation the paper uses a patch type technique based on the eigenvector for one mesh quality to provide an eigenvalue error indicator. Tests show this indicator to be both accurate and reliable. This technique was first observed by Stephen and Steven for an error estimation for buckling and natural frequency of beams and two dimensional in-plane and out-of-plane structures. This paper produces and error indicator for the more difficult problem of three dimensional brick elements.

Eigenstructure Assignment for a Looper Control System

  • Lee, Dong-Wook;Ahn, Byoung-Joon;Park, Sung-Han;Lee, Man-Hyung
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.68.3-68
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    • 2001
  • We describe the looper controller design for a hot strip mill. The looper is to control the strip tension which influences on the width of the strip. It is very important to control the looper control of the hot strip mill, but difficult to control the looper, because there exists mutual interaction among strip gauge, looper angle, and strip tension. In this paper, we present the modeling for the looper of a hot strip mill to control the tension of the strip and suggest a eigenstructure assignment method. The eigenstructure assignment is useful tool that allows the designer to satisfy damping, settling time, and mode decoupling specifications directly by choosing eigenvalue and eigenvectors. Desired eigenvalue and eigenvector are chosen to satisfy the desired responses.

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A SIMPLE AUGMENTED JACOBI METHOD FOR HERMITIAN AND SKEW-HERMITIAN MATRICES

  • Min, Cho-Hong;Lee, Soo-Joon;Kim, Se-Goo
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제18권3호
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    • pp.185-199
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    • 2011
  • In this paper, we present a new extended Jacobi method for computing eigenvalues and eigenvectors of Hermitian matrices which does not use any complex arithmetics. This method can be readily applied to skew-Hermitian and real skew-symmetric matrices as well. An example illustrating its computational efficiency is given.

Note on Estimating the Eigen System of Σ1-1Σ2

  • Kim, Myung-Geun
    • Communications for Statistical Applications and Methods
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    • 제10권2호
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    • pp.603-606
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    • 2003
  • The maximum likelihood estimators of the eigenvalues and eigenvectors of $$\Sigma$$_1$^{-1}$$\Sigma$$_2$are shown to be the eigenvalues and eigenvectors of $S$_1$^{1}$S$_2$ under multivariate normality and are explicitly derived. The nature of the eigenvalues and eigenvectors of $$\Sigma$$_1$^{-1}$$\Sigma$$_2$ or their estimators will be uncovered.

제어기정수에 대한 AMEP와 대규모 전력계통에 미소신호안정도 해석 (Small Small Signal Stability Anslysis by AMEP for Controller Parameter)

  • 심관식;송성근;남해곤;김용구;문채주
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 하계학술대회 논문집 A
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    • pp.112-115
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    • 2001
  • Eigenvalue perturbation theory of augmented system matrix(AMEP) is a useful tool in the analysis and design of large scale power systems. This paper describes the application results of AMEP algorithm with respect to all controller parameter of KEPCO systems. AMEP for interarea and local mode can be used for turning controller parameter, and verifying system data and linear model of controller.

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