• Title/Summary/Keyword: Matrix vector

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General Linearly Constrained Narrowband Adaptive Arrays in the Eigenvector Space

  • Chang, Byong Kun
    • Journal of information and communication convergence engineering
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    • v.15 no.3
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    • pp.137-142
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    • 2017
  • A general linearly constrained narrowband adaptive array is examined in the eigenvector space. The optimum weight vector in the eigenvector space is shown to have the same performance as in the standard coordinate system, except that the input signal correlation matrix and look direction steering vector are replaced with the eigenvalue matrix and transformed steering vector. It is observed that the variation in gain factor results in the variation in the distance between the constraint plane and the origin in the translated weight vector space such that the increase in gain factor decreased the distance from the constraint plane to the origin, thus affecting the nulling performance. Simulation results showed that the general linearly constrained adaptive array performed better at an optimal gain factor compared with the conventional linearly constrained adaptive array in a coherent signal environment and the former showed similar performance as the latter in a noncoherent signal environment.

James-Stein Type Estimators Shrinking towards Projection Vector When the Norm is Restricted to an Interval

  • Baek, Hoh Yoo;Park, Su Hyang
    • Journal of Integrative Natural Science
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    • v.10 no.1
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    • pp.33-39
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    • 2017
  • Consider the problem of estimating a $p{\times}1$ mean vector ${\theta}(p-q{\geq}3)$, $q=rank(P_V)$ with a projection matrix $P_v$ under the quadratic loss, based on a sample $X_1$, $X_2$, ${\cdots}$, $X_n$. We find a James-Stein type decision rule which shrinks towards projection vector when the underlying distribution is that of a variance mixture of normals and when the norm ${\parallel}{\theta}-P_V{\theta}{\parallel}$ is restricted to a known interval, where $P_V$ is an idempotent and projection matrix and rank $(P_V)=q$. In this case, we characterize a minimal complete class within the class of James-Stein type decision rules. We also characterize the subclass of James-Stein type decision rules that dominate the sample mean.

A Study of Geometric Modeling for Ship Hull Forms Using Open Uniform B-spline Surface (Open 균일 B-spline 곡면을 이용한 선체 곡면 표현에 관한 연구)

  • H.K. Shin;K.W. Park
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.2
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    • pp.21-27
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    • 1991
  • This paper outlines the method of formulating the bi-cubic B-spline surface of ship hull, employing the open uniform knot vector as well as the periodic uniform knot vector. An appropriate set of B-spline control vertices to generate the B-spline surface is determined by obtaining the pseudoinverse matrix of basis functions. The comparison between the given offsets and the resulting coordinates from the generated ship hull surface shows a good agreement. To check the fairness of the surface Gaussian curvature is calculated on many small subpatches and displayed on the black-and-white plot of the isoparametric net of the surface.

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EIGENVALUES OF SECOND-ORDER VECTOR EQUATIONS ON TIME SCALES WITH BOUNDARY VALUE CONDITIONS

  • Wang, Yi
    • Journal of applied mathematics & informatics
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    • v.29 no.1_2
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    • pp.267-277
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    • 2011
  • This paper is concerned with eigenvalues of second-order vector equations on time scales with boundary value conditions. Properties of eigenvalues and matrix-valued solutions are studied. Relationships between eigenvalues of different boundary value problems are discussed.

Improved Face Recognition based on 2D-LDA using Weighted Covariance Scatter (가중치가 적용된 공분산을 이용한 2D-LDA 기반의 얼굴인식)

  • Lee, Seokjin;Oh, Chimin;Lee, Chilwoo
    • Journal of Korea Multimedia Society
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    • v.17 no.12
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    • pp.1446-1452
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    • 2014
  • Existing LDA uses the transform matrix that maximizes distance between classes. So we have to convert from an image to one-dimensional vector as training vector. However, in 2D-LDA, we can directly use two-dimensional image itself as training matrix, so that the classification performance can be enhanced about 20% comparing LDA, since the training matrix preserves the spatial information of two-dimensional image. However 2D-LDA uses same calculation schema for transformation matrix and therefore both LDA and 2D-LDA has the heteroscedastic problem which means that the class classification cannot obtain beneficial information of spatial distances of class clusters since LDA uses only data correlation-based covariance matrix of the training data without any reference to distances between classes. In this paper, we propose a new method to apply training matrix of 2D-LDA by using WPS-LDA idea that calculates the reciprocal of distance between classes and apply this weight to between class scatter matrix. The experimental result shows that the discriminating power of proposed 2D-LDA with weighted between class scatter has been improved up to 2% than original 2D-LDA. This method has good performance, especially when the distance between two classes is very close and the dimension of projection axis is low.

PERMANENTS OF DOUBLY STOCHASTIC KITE MATRICES

  • Hwang, Suk-Geun;Lee, Jae-Don;Park, Hong-Sun
    • Journal of the Korean Mathematical Society
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    • v.35 no.2
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    • pp.423-432
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    • 1998
  • Let p, q be integers such that 2 $\leq$ p, q $\leq$ n, and let $D_{p, q}$ denote the matrix obtained from $I_{n}$, the identity matrix of order n, by replacing each of the first p columns by an all 1's vector and by replacing each of the first two rows and each of the last q-2 rows by an all 1's vector. In this paper the permanent minimization problem over the face, determined by the matrix $D_{p, q}$, of the polytope of all n $\times$ n doubly stochastic matrices is treated.d.

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On Line LS-SVM for Classification

  • Kim, Daehak;Oh, KwangSik;Shim, Jooyong
    • Communications for Statistical Applications and Methods
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    • v.10 no.2
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    • pp.595-601
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    • 2003
  • In this paper we propose an on line training method for classification based on least squares support vector machine. Proposed method enables the computation cost to be reduced and the training to be peformed incrementally, With the incremental formulation of an inverse matrix in optimization problem, current information and new input data can be used for building the new inverse matrix for the estimation of the optimal bias and Lagrange multipliers, so the large scale matrix inversion operation can be avoided. Numerical examples are included which indicate the performance of proposed algorithm.

Newton-Krylov Method for Compressible Euler Equations on Unstructured Grids

  • Kim Sungho;Kwon Jang Hyuk
    • 한국전산유체공학회:학술대회논문집
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    • 1998.11a
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    • pp.153-159
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    • 1998
  • The Newton-Krylov method on the unstructured grid flow solver using the cell-centered spatial discretization oi compressible Euler equations is presented. This flow solver uses the reconstructed primitive variables to get the higher order solutions. To get the quadratic convergence of Newton method with this solver, the careful linearization of face flux is performed with the reconstructed flow variables. The GMRES method is used to solve large sparse matrix and to improve the performance ILU preconditioner is adopted and vectorized with level scheduling algorithm. To get the quadratic convergence with the higher order schemes and to reduce the memory storage. the matrix-free implementation and Barth's matrix-vector method are implemented and compared with the traditional matrix-vector method. The convergence and computing times are compared with each other.

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A Design and Implementation of Matrix Converter Based on Space Vector Modulation (SVM를 적용한 매트릭스 컨버터의 설계 및 구현)

  • Yang, Chun-Suk;Yoon, In-Sik;Kim, Kyung-Seo
    • Proceedings of the KIPE Conference
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    • 2005.07a
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    • pp.23-26
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    • 2005
  • This paper describes the design, construction and implementation of matrix converter based on space vector modulation technique. The matrix converter provides sinusoidal input and output wave forms, bidirectional power flow, controllable input power factor and a compact design, compared to the VSI with diode rectification stage at the input. The implemented prototype of matrix converter is built using the exclusive IGBT module and has an input filter, overvoltage protection circuit and commutation means for overcoming practical issues. The good results tested using an induction motor are also presented.

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Development of PMSG wind power system model using wind turbine simulator and matrix converter (풍력터빈시뮬레이터와 매트릭스 컨버터를 이용한 PMSG 풍력발전 시스템 모델 개발)

  • Yun, Dong-Jin;Han, Byung-Moon;Li, Yu-Long;Cha, Han-Ju
    • Proceedings of the KIPE Conference
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    • 2008.10a
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    • pp.45-47
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    • 2008
  • This paper describes development of PMSG wind power system model using wind turbine simulator and matrix converter. The wind turbine simulator, which consists of an induction motor with vector drive, calculates the output torque of a specific wind turbine using simulation software and sends the torque signal to the vector drive after scaling down the calculated value. The operational feasibility of interconnected PMSG system with matrix converter was verified by computer simulations with PSCAD/EMTDC software. The simulation results confirm that matrix converter can be effectively applied for the PMSG system.

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