• 제목/요약/키워드: Matrix Exponential

검색결과 134건 처리시간 0.021초

DETERMINATION OF TRANSIENT WEAR DISTANCE IN THE ADHESIVE WEAR OF A6061 ALUMINIUM ALLOY REINFORCED WITH ALUMINA PARTICLES

  • Yang, L.J.
    • 한국윤활학회:학술대회논문집
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    • 한국윤활학회 2002년도 proceedings of the second asia international conference on tribology
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    • pp.217-218
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    • 2002
  • An integrated adhesive wear model was proposed to determine the transient wear and steady-state wear of aluminium alloy matrix composites. The transient wear volume was described by an exponential equation, while the steady-state wear was governed by a revised Archard equation, in which both the transient wear volume and transient sliding distance were excluded. A mathematical method was developed to determine both the transient distance and the net steady-state wear coefficient. Experimental wear tests were carried out on three types of commercial A6061 aluminum alloy matrix composites reinforced with 10%, 15% and 20% alumina particles. More accurate wear coefficient values were obtained with the proposed model. The average standard wear coefficient, as determined by the original Archard equation, was found to be about 51% higher.

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A Numerical Modelling for the Prediction of Phase Transition Time(Ice-Water) in Frozen Gelatin Matrix by Ohmic Thawing Process

  • Kim, Jee-Yeon;Park, Sung-Hee;Min, Sang-Gi
    • 한국축산식품학회:학술대회논문집
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    • 한국축산식품학회 2004년도 제34차 추계 국제 학술대회
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    • pp.407-411
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    • 2004
  • Ohmic heating occurs when an electric current is passes through food, resulting in a temperature rise in the product due to the conversion of the electric energy into heat. The time spent in the thawing is critical for product sterility and quality. The objective of this study is to conduct numerical modelling between the effect of ohmic thawing intensity on PTT(phase transition time) at constant concentration and the effect of matrix concentrations on PTT at constant voltage condition. the stronger ohmic thawing intensity resulted in decreasing the PTT. High ohmic intensity causes short PTT. And the higher gelatin concentration, the faster increment of PTT. A numerical modeling was executed to predict the PTT influenced by the power intensity using exponential regression and the PTT influenced by gelatin concentration using logarithmic regression. Therefore, from this numerical model of gelatin matrix, it is possible to estimate exact values extensively.

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Low Pilot Ratio Channel Estimation for OFDM Systems Based on GCE-BEM

  • Wang, Lidong;Lim, Dong-Min
    • Journal of electromagnetic engineering and science
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    • 제7권4호
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    • pp.195-200
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    • 2007
  • Doubly-selective channel estimator for orthogonal frequency division multiplexing(OFDM) systems is proposed in this paper. Based on the generalized complex exponential basis expansion model(GCE-BEM), we describe the time-variant channel with time-invariant coefficients over multiple OFDM blocks. The time variation of the channel destroys the orthogonality between subcarriers, and the resulting channel matrix in the frequency domain is no longer diagonal, but the main interference comes from the near subcarriers. Based on this, we propose a channel estimator with low pilot ratio. We first develop a least-square(LS) estimator under the assumption that only the maximum Doppler frequency and the channel order are known at the receiver, and then verify that the correlation matrix of inter-channel interference(ICI) is a scaled identity matrix based on which we derive an optimal pilot insertion scheme for the LS estimator in the sense of minimum mean square error. The proposed estimator has the advantages of low pilot ratio and robustness against inter-carrier interference.

부정합 시스템 행렬 불확실성을 갖는 시스템을 위한 정적 출력 궤환 적분 가변 구조 제어기 (A Static Output Feedback Integral Variable Structure Controller for Uncertain Systems with Unmatched System Matrix Uncertainty)

  • 이정훈
    • 전기학회논문지
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    • 제59권2호
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    • pp.411-416
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    • 2010
  • In this paper, an integral variable structure static output feedback controller with an integral-augmented sliding surface is designed for the improved robust control of a uncertain system under unmatched system uncertainty and matched input matrix uncertainty and disturbance satisfying some conditions. To effectively remove the reaching phase problems, an output dependent integral augmented sliding surface is proposed. Its equivalent control and ideal sliding mode dynamics are obtained. The previous some limitations is overcome in this systematic design. A stabilizing control with the closed loop exponential stability is designed for all unmatched system matrix uncertainties and proved together with the existence condition of the sliding mode on S=0. To show the usefulness of the algorithm, a design example and computer simulations are presented.

부정합 시스템 행렬 불확실성을 갖는 시스템을 위한 동적 출력 궤환 가변 구조 제어기 (A Dynamic Output Feedback Variable Structure Controller for Uncertain Systems with Unmatched System Matrix Uncertainty)

  • 이정훈
    • 전기학회논문지
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    • 제59권11호
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    • pp.2066-2072
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    • 2010
  • In this paper, a variable structure dynamic output feedback controller with an transformed sliding surface is designed for the improved robust control of a uncertain system under unmatched system uncertainty, matched input matrix uncertainty, and disturbance satisfying some conditions. This paper is extended from the results of the static output feedback VSS in [9]. To effectively remove the reaching phase problems, an initial condition of the dynamic output is determined. The previous some limitations on the dynamic output feedback variable structure controller is overcome in this systematic design. A stabilizing control is designed to generate the sliding mode on the predetermined sliding surface S=0 and as a results the closed loop exponential stability is obtained and proved together with the existence condition of the sliding mode on S=0 for all unmatched system matrix uncertainties. To show the usefulness of the algorithm, a design example and computer simulations are presented.

Calculation of NMR Chemical Shift for 5d$^n$ Systems (Ⅰ). Application of the Expansion Method for Spherical Harmonics for Computation of Overlap and Dipole Moment Matrix Elements

  • Ahn, Sang-Woon;Oh, Se-Woung;Park, Eui-Suh
    • Bulletin of the Korean Chemical Society
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    • 제6권1호
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    • pp.3-7
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    • 1985
  • The general formulas for SCF atomic orbitals |5s > and |6p > have been derived separately by expressing the spherical harmonics part in terms of the coordinate($r_1,\;$r_2$) of the reference point, and by translating the exponential part, $r^4\;exp\;(-{\beta}r)$), in terms of $r_1,\;and\;r_2$ and the modified Bessel functions. Master formulas for overlap and dipole moment matrix elements are derived. The computed values of overlap and dipole moment matrix elements for hypothetical NO molecule are exactly in agreement with those for the previous methods.

HORADAM 3-PARAMETER GENERALIZED QUATERNIONS

  • Zehra Isbilir;Nurten Gurses
    • 호남수학학술지
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    • 제46권3호
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    • pp.407-427
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    • 2024
  • The purpose of this article is to bring together the Horadam numbers and 3-parameter generalized quaternions, which are a general form of the quaternion algebra according to 3-parameters. With this purpose, we introduce and examine a new type of quite big special numbers system, which is called Horadam 3-parameter generalized quaternions (shortly, Horadam 3PGQs), and special cases of them. Besides, we compute both some new equations and classical well-known equations such as; Binet formulas, generating function, exponential generating function, Poisson generating function, sum formulas, Cassini identity, polar representation, and matrix equation. Furthermore, this article concludes by presenting the determinant, characteristic polynomial, characteristic equation, eigenvalues, and eigenvectors in relation to the matrix representation of Horadam 3PGQ.

그래프 모형을 이용한 지수분포 모수들의 기하평균 비교에 관한 연구 (On Multiple Comparison of Geometric Means of Exponential Parameters via Graphical Model)

  • 김대황;김혜중
    • 응용통계연구
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    • 제19권3호
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    • pp.447-460
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    • 2006
  • 본 연구에서는 확률모형의 모수로부터 얻어지는 여러 형태의 함수간의 크기를 다중 비교 하는 방법을 제안하고자 한다. 이 방법은 비교대상인 모수 함수 간의 선호확률을 베이지안 방법으로 추정하고, 이들로부터 얻어지는 선호행렬을 이용한 새로운 다중비교법이다. 이러한 방법의 제안에 필요한 이론과 비교기준을 고안하였으며, 응용 예로 제안된 방법을 s의 독립인 지수분포 모수의 기하평균 크기 비교에 적용하였다.

멀티 프로세서 시스템-온-칩(MPSoC)을 위한 버스 매트릭스 구조의 빠르고 정확한 성능 예측 기법 (Fast and Accurate Performance Estimation of Bus Matrix for Multi-Processor System-on-Chip (MPSoC))

  • 김성찬;하순회
    • 한국정보과학회논문지:시스템및이론
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    • 제35권11호
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    • pp.527-539
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    • 2008
  • 본 논문은 큐잉 이론을 이용한 멀티 프로세서 시스템-온-칩(MPSoC)의 버스 매트릭스 기반 통신 구조에 대한 성능 예측 기법을 제안한다. 버스 매트릭스 기반 통신 구조는 다양한 설계 인자를 가지고 있어 이에 대한 성능 최적화는 방대한 설계 공간의 탐색을 필요로 하지만, 현재 널리 사용되고 있는 시뮬레이션에 기반한 방법은 많은 시간을 요하기 때문에 점점 짧아지고 있는 시장 적기 출하(time-to-market) 제약 조건을 만족하기 어렵다. 이러한 문제를 해결하기 위하여 본 논문에서는 시뮬레이션보다 훨씬 빠르면서 정확하게 성능을 예측할 수 있는 기법을 개발하였다. 제안한 성능 분석 기법은 고성능의 버스 매트릭스를 위해 사용되는 버스 프로토콜인 multiple outstanding transaction을 고려한다. 또한 지수 분포(exponential distribution)를 이용하여 비현실적으로 메모리 시스템을 모델하였던 기존의 연구들과 달리 실제적인 메모리 시스템 모델을 위하여 일반 분포(general distribution)를 이용하였다. 제안한 성능 예측 기법의 정확도 및 효율성을 검증하기 위하여 무작위로 생성된 버스 트랜잭션들과 4-채널 DVR 예제에 적용하였을 때, 사이클 단위의 정확도를 갖는 시뮬레이션과 비교하여 $10^5$배 이상 빠르면서 평균 94% 이상의 정확도를 갖는 것으로 분석되었다.

4차 Cumulant를 이용한 Matrix Pencil Method (Matrix Pencil Method using Fourth Order Cumulant)

  • 장우진;고진환
    • 대한전자공학회논문지SP
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    • 제43권2호
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    • pp.87-92
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    • 2006
  • Array 신호처리에서 복소 지수함수의 합으로 구성된 신호의 파라미터를 추정하는데 고차 통계를 이용할 수 있다. 본 논문에서는 4차 cumulant를 이용한 고차 Matrix Pencil method(MPM)를 제안하였다. 4차 cumulant는 Gaussian 잡음를 억제할 수 있기 때문에, MPM의 응답은 기존의 방법에 비하여 더 좋은 잡음 면역을 가지고 있다. 본 논문에서는 높은 정확성을 가지는 MPM의 모든 장점을 유지하면서 성공적으로 고차 MPM을 공식화하였다. 그리고 Numerical simulation을 통해서 본 논문에서 제안된 4차 cumulant를 이용한 방법이 Gaussian 잡음환경에서 더 우수한 DOA 분해능을 가지고 있음을 증명하였다.