• Title/Summary/Keyword: difference matrix

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A Fine Granular Scalable Video Coding Algorithm using Frequency Weighting (주파수 특성을 이용한 미세 계위적 동영상 부호화 방법)

  • 김승환;호요성
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.40 no.6
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    • pp.124-131
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    • 2003
  • In this paper, we propose a Progressive scalable video coding algorithm using frequency weighting in the DCT domain. Since the human visual system (HVS) can be modeled as a nonlinear point transformation, called the modulation transfer function (MTF), we tan use the frequency weighting matrix to enhance the video image quality. We change this frequency weighting matrix into the frequency shift matrix to apply to the bit-plane coding method for the fine granular scalable (FGS) video coding We also define a new error metric JNDE (just noticeable difference) to measure the perceptual image quality in terms of human vision.

Use of Modal Flexibility and Normalized Modal Difference(NMD) for Mode Shape Expansion (모드 유연도 및 정규화된 모드차를 이용한 모드형상 전개)

  • Bijaya Jaishi;Ren Wei-Xin;Lee Sang-Ho;Kim Moon-Kyum
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2006.04a
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    • pp.778-785
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    • 2006
  • In this paper, two possible ways for mode shape expansion are proposed and opened for discussion for future use. The first method minimizes the modal flexibility error between the experimental and analytical mode shapes corresponding to the measured DOFs to find the multiplication matrix which can be treated as the least-squares minimization problem. In the second method, Normalized Modal Difference (NMD) is used to calculate multiplication matrix using the analytical DOFs corresponding to measured DOfs. This matrix is then used to expand the measured mode shape to unmeasured DOFs. A simulated simply supported beam is used to demonstrate the performance of the methods. These methods are then compared with two most promising existing methods namely Kidder dynamic expansion and Modal expansion methods. It is observed that the performance of the modal flexibility method is comparable with existing methods. NMD also have the potential to expand the mode shapes though it is seen more sensitive to the distribution of error between FEM and actual test data.

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Fracture Characteristic of TiNi/A16061 Share Memory Alloy Composite at High Temperature using Acoustic Emission Technique (AE 기법을 이용한 TiNi/A16061 형상기억복합재료의 고온파괴특성평가)

  • Lee, Jin-Kyung;Park, Young-Choul;Kang, Dong-Hyun;Park, Dong-Sung;Lee, Kyu-Chang
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.72-77
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    • 2001
  • Tensile residual stress happen by difference of coefficients of thermal expansion between fiber and matrix is one of the serious problems in metal matrix composite(MMC). In this study, TiNi fiber was used to solve the tensile residual stress as the reinforced material. TiNi fiber improves the tensile strength of composite by occurring compressive residual stress in matrix using shape memory effect of it. Pre-strain was added to generate compressive residual stress inside TiNi/A16061 composite. It was also evaluated the effect of compressive residual stress corresponding to pre-strains variation. AE technique was used to clarify the microscopic damage behavior at high temperature and the effect of pre-strain difference of TiNi/A16061 shape memory alloy composite.

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THOMAS ALGORITHMS FOR SYSTEMS OF FOURTH-ORDER FINITE DIFFERENCE METHODS

  • Bak, Soyoon;Kim, Philsu;Park, Sangbeom
    • Journal of the Korean Mathematical Society
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    • v.59 no.5
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    • pp.891-909
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    • 2022
  • The main objective of this paper is to develop a concrete inverse formula of the system induced by the fourth-order finite difference method for two-point boundary value problems with Robin boundary conditions. This inverse formula facilitates to make a fast algorithm for solving the problems. Our numerical results show the efficiency and accuracy of the proposed method, which is implemented by the Thomas algorithm.

Linearity and Nonlinearity of Rotor System Analysis (로터 시스템 회전운동 선형 및 비선형성)

  • Yun, Seong-Ho;Ren, Li-Min
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2008.04a
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    • pp.190-196
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    • 2008
  • The dynamical rotor system is investigated through the derivation and formulations of the dynamic equation of the rotating system in terms of both inertial and fixed frame of the system as well as quaternion. The investigation is aimed at analyzing the dynamical rotating system precession speed. The resulting equations of motion consist of the consistent mass matrix and gyroscopic matrix. The formulation shows its features and difference between its linearity and nonlinearity.

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Comparison of the results by the Matrix method and the Coupled wave method in analyzing Bragg Reflector structures

  • Kim, Boo-Gyoun-
    • Proceedings of the Optical Society of Korea Conference
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    • 1990.02a
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    • pp.87-90
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    • 1990
  • We compare the reflectivity spectrum and phase change of Bragg reflectors obtained by the matrix method and the coupled wave method. We show that the results obtained by the two methods agree well generally and the discrepancy between the results obtained by the two methods increases as the fractional refractive index difference between adjacent layers increases and/or the absorption loss increases, due to the approximations inherent in the coupled wave method for the analysis of multiple dielectric layers.

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EXTREME PRESERVERS OF RANK INEQUALITIES OF BOOLEAN MATRIX SUMS

  • Song, Seok-Zun;Jun, Young-Bae
    • Journal of applied mathematics & informatics
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    • v.26 no.3_4
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    • pp.643-652
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    • 2008
  • We construct the sets of Boolean matrix pairs, which are naturally occurred at the extreme cases for the Boolean rank inequalities relative to the sums and difference of two Boolean matrices or compared between their Boolean ranks and their real ranks. For these sets, we consider the linear operators that preserve them. We characterize those linear operators as T(X) = PXQ or $T(X)\;=\;PX^tQ$ with appropriate invertible Boolean matrices P and Q.

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EFFICIENCY ANALYSIS OF A DOMAIN DECOMPOSITION METHOD FOR THE TWO-DIMENSIONAL TELEGRAPH EQUATIONS

  • Jun, Younbae
    • East Asian mathematical journal
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    • v.37 no.3
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    • pp.295-305
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    • 2021
  • In this paper, we analyze the efficiency of a domain decomposition method for the two-dimensional telegraph equations. We formulate the theoretical spectral radius of the iteration matrix generated by the domain decomposition method, because the rate of convergence of an iterative algorithm depends on the spectral radius of the iteration matrix. The theoretical spectral radius is confirmed by the experimental one using MATLAB. Speedup and operation ratio of the domain decomposition method are also compared as the two measurements of the efficiency of the method. Numerical results support the high efficiency of the domain decomposition method.

Fatigue Damage of Quasi-Isotropic Composite Laminates Under Tensile Loading in Different Directions (인장하중방향 변화를 받는 의사등방성 복합재 적층판의 피로손상)

  • 김택현
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.8 no.2
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    • pp.80-85
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    • 1999
  • The purpose of this work is to investigate fatigue damage of quasi-isotropic laminates under tensile loading in different directions. Low cycle fatigue tests of [0/-60/+60]a laminates and [+30/-30/90]s lamina tes were carried out. Material systems used are AS4/Epoxy and AS4/PEEK. The fatigue damage of [+30/-30/90]s is very different from that of [0/-60/+60]s. The position of delamination generated at AS4/Epoxy and AS$/PEEK laminates were differentiated by the matrix difference that is, we suppose, the value of both GIcr(critical energy release rate of mode-I) and GIIIcr(critical energy release rate of mode-III) difference.

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On the improvement of the stability robustness in the discrete-time LQ regulator (이산시간 LQ 조절기의 안정도 강인성 향상에 관한 연구)

  • Kim, Sang-Woo;Gwon, Uk-Hyeon
    • Journal of Institute of Control, Robotics and Systems
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    • v.1 no.2
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    • pp.83-87
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    • 1995
  • 본 논문에서는 이산시간 LQ 조절기의 안정도 강인성을 주파수 영역및 시간영역에서 고찰하고 그 향상책을 제시하낟. 주파수영역에서 강인성 척도인 궤환차행렬(return difference matrix) 의 최소특이치가 상태가중치 행렬과 제어가중치 행렬의 비와 반비례함을 보이고, 시간영역에서 매개변수의 변화에 대한 안정도 강인성 범위들을 얻는다. 이 범위들의 점근적 성질을 밝히기 위하여 LQ 궤환이득의 특이치들이 상태가중치 행렬과 제어기중치 행렬의 비의 증가함수 임을 보인다. 몇가지 조건하에서 시스템 행렬(입력행렬)에 대한 안정도 강인성 범위가 상태 가중치 행렬과 제어가중치 행렬의 비가 증가(감소)함에 따라서 증가함을 보이고, 이러한 사실들을 예제를 통하여 검증한다.

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