• Title/Summary/Keyword: eigenvectors

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THE USE OF MULTIVARIATE STATISTICS TO EVALUATE THE RESPONSE OF RICE STRAW VARIETIES TO CHEMICAL TREATMENT

  • Vadiveloo, J.
    • Asian-Australasian Journal of Animal Sciences
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    • v.9 no.1
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    • pp.83-89
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    • 1996
  • Multivariate statistical procedures were used to analyse data on the chemical composition and in vitro digestibility of four varienties of rice straw after treatment with 4% NaOH solution, 4% urea solution or distilled water (control) for 48 hours. For each treatment, stepwise discriminant analysis identified the variables which maximized differences between varieties and the eigenvectors from principal component analysis quantified the contribution of these criterion variables to varietal differences. The overall response of varieties to chemical treatment was demonstrated qualitatively, by cluster analysis, and quantitatively, from the magnitude of the principal component scores. The analysis revealed that the urea and control treatments elicited the same response whereas NaOH had the greatest effect on the poorest straw variety. Similar analyses conducted on the botanical fractions of the varieties showed that the relative response of the inflorescence, stem, leaf blade and leaf sheath fractions was not altered by chemical treatment.

Matched Field Processing: Ocean Experimental Data Analysis Using Feature Extraction Method (실 해상 실험 데이터를 이용한 정합장 처리에서의 특성치 추출 기법 분석)

  • Kim Kyung Seop;Seong Woo Jae;Song Hee Chun
    • The Journal of the Acoustical Society of Korea
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    • v.24 no.1E
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    • pp.21-27
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    • 2005
  • Environmental mismatch has been one of important issues discussed in matched field processing for underwater source detection problem. To overcome this mismatch many algorithms professing robustness have been suggested. Feature extraction method (FEM) [Seong and Byun, IEEE Journal of Oceanic Engineering, 27(3), 642-652 (2002)] is one of robust matched field processing algorithms, which is based on the eigenvector estimation. Excluding eigenvectors of replica covariance matrix corresponding to large eigenvalues and forming an incoherent subspace of the replica field, the processor is formulated similarly to MUSIC algorithm. In this paper, by using the ocean experimental data, processing results of FEM and MVDR with white noise constraint (WNC) are presented for two levels of multi-tone source. Analysis of eigen-space of CSDM and FEM performance are also presented.

Global Feature Extraction and Recognition from Matrices of Gabor Feature Faces

  • Odoyo, Wilfred O.;Cho, Beom-Joon
    • Journal of information and communication convergence engineering
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    • v.9 no.2
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    • pp.207-211
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    • 2011
  • This paper presents a method for facial feature representation and recognition from the Covariance Matrices of the Gabor-filtered images. Gabor filters are a very powerful tool for processing images that respond to different local orientations and wave numbers around points of interest, especially on the local features on the face. This is a very unique attribute needed to extract special features around the facial components like eyebrows, eyes, mouth and nose. The Covariance matrices computed on Gabor filtered faces are adopted as the feature representation for face recognition. Geodesic distance measure is used as a matching measure and is preferred for its global consistency over other methods. Geodesic measure takes into consideration the position of the data points in addition to the geometric structure of given face images. The proposed method is invariant and robust under rotation, pose, or boundary distortion. Tests run on random images and also on publicly available JAFFE and FRAV3D face recognition databases provide impressively high percentage of recognition.

Contingency Selection Using Eigen-Sensitivity Analysis for Voltage Stability. (고유치감도 해석에 의한 전압안정도의 상정사고 선택)

  • Song, S.G.;Nam, H.K.;Shim, K.S.;Moon, Y.H.;Choi, H.K.;NamKung, J.Y.
    • Proceedings of the KIEE Conference
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    • 2000.07a
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    • pp.66-68
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    • 2000
  • The Eigen analysis in large power system provides much useful information that is not got in nose curve. The branch participation factor is not quantitative information and is an indirect method calculating incremental change in branch reactive loss. But the Eigen sensitivity analysis to each mode is direct and provides of quantitative information but this method because of needing much time is used in large power system. In this paper the Hessenberg method is used to obtaining dominant eignvalues and corresponding eigenvectors of Jacobian matrix. Ranking the critical contingencies is done by computing the Eigen sensitivity of each dominant eignvalues for changes of each line. The proposed algorithm is tested on the New England 30-bus system and KEPCO system in the year of 2000, which comprises of 791-bus and 2500-branches.

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A Study for Obtaining Weights in Pairwise Comparison Matrix in AHP

  • Jeong, Hyeong-Chul;Lee, Jong-Chan;Jhun, Myoung-Shic
    • The Korean Journal of Applied Statistics
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    • v.25 no.3
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    • pp.531-541
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    • 2012
  • In this study, we consider various methods to estimate the weights of a pairwise comparison matrix in the Analytic Hierarchy Process widely applied in various decision-making fields. This paper uses a data dependent simulation to evaluate the statistical accuracy, minimum violation and minimum norm of the obtaining weight methods from a reciprocal symmetric matrix. No method dominates others in all criteria. Least squares methods perform best in point of mean squared errors; however, the eigenvectors method has an advantage in the minimum norm.

Characterization of Thermal Behavior of Biodegradable Poly(hydroxyalkanoate) by Two-Dimensional Correlation Spectroscopy

  • Jung, Young-Mee;Ozaki, Yukihiro;Noda, Isao
    • Proceedings of the Polymer Society of Korea Conference
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    • 2006.10a
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    • pp.355-355
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    • 2006
  • In this study, we have applied principal component analysis-based 2D (PCA2D) correlation spectroscopy to the temperature-dependent IR spectra of biodegradable poly(hydroxyalkanoate). PCA2D analysis reveals clearly that there are two components in crystalline band of C=O stretching mode without being hampered by noise. To better understand the thermal behavior of biodegradable poly(hydroxyalkanoate), eigenvalue manipulating transformation (EMT) technique was also employed. By uniformly lowering the power of a set of eigenvalues associated with the original data, the subtle contributions from minor eigenvectors are highlighted. Details of thermal behavior of biodegradable poly(hydroxyalkanoate) studied by PCA2D correlation spectroscopy with EMT will be discussed.

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Tracking characteristics of the complex-LMS algorithm for a sweeping frequency sine-wave signal (주파수가 선형적으로 변하는 조화 입력에 대한 복소 최소자승오차법의 추종 특성)

  • 배상준;박영진
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.173-176
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    • 1996
  • The transient behavior of the complex-LMS adaptive filter is studied when the adaptive filter is operating on a fixed or sweeping complex frequency sine-wave signal. The first-order difference equation is derived for the mean weights and its closed form solution is obtained. The transient response is represented as a function of the eigenvectors and eigenvalues of input correlation matrix. The mean-square error of the algorithm is evaluated as well. An optimal convergence parameter and filter length can be determined for sweeping frequency sine-wave signals as a function of frequency change rate and signal and noise powers.

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Well-Defined series and parallel D-spectra for preparation for linear time-varying systems (선형 시변 시스템에 대한 잘 정의된 (well-defined) 직렬 및 병렬 D-스펙트럼)

  • Zhu, j.jim;Lee, Ho-Cheol;Choe, Jae-Won
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.5
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    • pp.521-528
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    • 1999
  • The nth-order, scalar, linear time-varying (LTV) systems can be dealt with operators on a differential ring. Using this differential algebraic structure and a classical result on differential operator factorizaitons developed by Floquet, a novel eigenstructure(eigenvalues, eigenvectors) concepts for linear time0varying systems are proposed. In this paper, Necessary and sufficient conditions for the existence of well-defined(free of finite-time singularities) SD- and PD- spectra for SPDOs with complex- and real-valued coefficients are also presented. Three numerical examples are presented to illustrate the proposed concepts.

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Sliding Surface Design by Eigenstructure Assignment and Sliding Mode Control of Matched Uncertain Systems (고유구조 지정에 의한 슬라이딩 평면 설계와 불확실한 시스템의 슬라이딩 모드 제어)

  • Lee, Tae-Bong;Yang, Hyun-Suk
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.8
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    • pp.812-817
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    • 2009
  • In this paper, a new method to design sliding surfaces using eigenstructure assignment is proposed. Most conventional methods for constructing the surfaces require special form like canonical or regular canonical form of system matrices. But the proposed method can be applied to arbitrary system matrices. Futhermore, the surface matrix, C can be decided for the matrix multiplication, CB to have a designated form. SVD is used to decide desirable eigenvectors explicitly. To verify the proposed algorithm, a sliding mode controller for a multivariable system with matched uncertainty is constructed. The controller is designed to guarantee minimum approach velocity to the sliding surface.

Eigenvalue analysis of structures with flexible random connections

  • Matheu, E.E.;Suarez, L.E.
    • Structural Engineering and Mechanics
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    • v.4 no.3
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    • pp.277-301
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    • 1996
  • A finite element model of a beam element with flexible connections is used to investigate the effect of the randomness in the stiffness values on the modal properties of the structural system. The linear behavior of the connections is described by a set of random fixity factors. The element mass and stiffness matrices are function of these random parameters. The associated eigenvalue problem leads to eigenvalues and eigenvectors which are also random variables. A second order perturbation technique is used for the solution of this random eigenproblem. Closed form expressions for the 1st and 2nd order derivatives of the element matrices with respect to the fixity factors are presented. The mean and the variance of the eigenvalues and vibration modes are obtained in terms of these derivatives. Two numerical examples are presented and the results are validated with those obtained by a Monte-Carlo simulation. It is found that an almost linear statistical relation exists between the eigenproperties and the stiffness of the connections.