• 제목/요약/키워드: Transition Matrix

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Adaptive Formulation of the Transition Matrix of Markovian Mobile Communication Channels

  • Park, Seung-Keun
    • The Journal of the Acoustical Society of Korea
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    • 제16권3E호
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    • pp.32-36
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    • 1997
  • This study models mobile communication channels as a discrete finite Markovian process, and Markovian jump linear system having parallel Kalman filter type is applied. What is newly proposed in this paper is an equation for obtaining the transition matrix according to sampling time by using a weighted Gaussian sum approximation and its simple calculation process. Experiments show that the proposed method has superior performance and reuires computation compared to the existing MJLS using the ransition matrix given by a statistical method or from priori information.

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A Note on the Covariance Matrix of Order Statistics of Standard normal Observations

  • Lee, Hak-Myung
    • Communications for Statistical Applications and Methods
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    • 제7권1호
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    • pp.285-290
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    • 2000
  • We noted a property of a stationary distribution on the matrix C, which is the covariance matrix of order statistics of standard normal distribution That is the sup norm of th powers of C is ee' divided by its dimension. The matrix C can be taken as a transition probability matrix in an acyclic Markov chain.

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M-ary Multitrack Run-length Limited Codes for Optical Storage Systems (광기록저장장치를 위한 M-ary 다중트랙 RLL 코드)

    • The Journal of Korean Institute of Communications and Information Sciences
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    • 제24권6A호
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    • pp.888-893
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    • 1999
  • This paper introduces M-ary multitrack run-length (d.k) constrained codes for optical storage systems. We calculate capacities and densities of the codes. We have driven a general form of the state transition matrix for M-ary multitrack (d,k) codes. Using the largest eigenvalue of the transition matrix, we calculate the capacity and density. The capacity approaches to the limit with a small k constraint compared to single-track codes.

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POWER SYSTEM TRANSIENT STABILITY ANALYSIS USING TRANSITION MATRIX AND VOLTAGE DERIVATIVES (천이행렬과 전압 미분을 이용한 전력계통의 과도 안정도 해석)

  • Park, Young-Moon;Kim, Gwang-Won
    • Proceedings of the KIEE Conference
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    • 대한전기학회 1990년도 하계학술대회 논문집
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    • pp.135-138
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    • 1990
  • For transient stability analysis of a power system, the new method using transition matrix is introduced in this paper. At the present the, Runge-Kutta, Modified-Euler and Trapezoidal methods have been very popular in most stability programs, Modified-Euler and Trapezoidal methods are inferior in accuracy and Runge-Kutta method has problems in computation time. The proposed algorithm requires transition matrix and its integrated values with derivatives of nonlinear parts in nonlinear differential equations for stability analysis. The method presented in this paper is between Modified-Euler and Runge-Kutta methods from the view point of computation time and is superior to the other methods in accuracy.

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A Statistical Thermodynamic Study on the Conformational Transition of Oligopeptide Multimer

  • Kim, Yong Gu;Park, Hyeong Seok
    • Bulletin of the Korean Chemical Society
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    • 제17권2호
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    • pp.131-138
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    • 1996
  • The conformational transition of oligopeptide multimer,-(HPPHPPP)n-, is studied (H:hydrophobic amino acid, P:hydrophilic amino acid). The helix/coil transitions are detected in the multimer. The transition depends on the number of amino acid in the sequence, the concentration of the oligopeptide, and temperature which affects helix stability constant (${\xi}$) and hydrophobic interaction parameter (wj). In the thermodynamic equilibrium system jA${\rightarrow}$Aj (where A stands for oligopeptide monomer), Skolnick et al., explained helix/coil transition of dimer by the matrix method using Zimm-Bragg parameters ${\xi}$ and $\sigma$ (helix initiation constant). But the matrix method do not fully explain dangling H-bond effects which are important in oligopeptide systems. In this study we propose a general theory of conformational transitions of oligopeptides in which dimer, trimer, or higher multimer coexists. The partition of trimer is derived by using zipper model which account for dangling H-bond effects. The transitions of multimers which have cross-linked S-S bonds or long chains do not occur, because they keep always helical structures. The transitions due to the concentration of the oligopeptides are steeper than those due to the chain length or temperature.

An Analysis of Privacy and Accuracy for Privacy-Preserving Techniques by Matrix-based Randomization (행렬 기반 랜덤화를 적용한 프라이버시 보호 기술의 안전성 및 정확성 분석)

  • Kang, Ju-Sung;An, A-Ron;Hong, Do-Won
    • Journal of the Korea Institute of Information Security & Cryptology
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    • 제18권4호
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    • pp.53-68
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    • 2008
  • We study on the practical privacy-preserving techniques by matrix-based randomization approach. We clearly examine the relationship between the two parameters associated with the measure of privacy breach and the condition number of matrix in order to achieve the optimal transition matrix. We propose a simple formula for efficiently calculating the inverse of transition matrix which are needed in the re-construction process of random substitution algorithm, and deduce some useful connections among standard error and another parameters by obtaining condition numbers according to norms of matrix and the expectation and variance of the transformed data. Moreover we give some experimental results about our theoretical expressions by implementing random substitution algorithm.

Dynamic Simple Correspondence Analysis

  • Choi Yong-Seok;Hyun Gee Hong;Seo Myung Rok
    • Communications for Statistical Applications and Methods
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    • 제12권1호
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    • pp.199-205
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    • 2005
  • In general, simple correspondence analysis has handled mainly correspondence relations between the row and column categories but can not display the trends of their change over the time. For solving this problem, we will propose DSCA(Dynamic Simple Correspondence Analysis) of transition matrix data using supplementary categories in this study, Moreover, DSCA provides its trend of the change for the future by predicting and displaying trend toward the change from a standard point of time to the next.

Mechanical Properties of Spheroidal Graphite Cast Iron with Duplex Matrix. (2상혼합조직(相混合組織)을 가진 구상흑연주철(球狀黑鉛鑄鐵)의 기계적성질(機械的性質)에 관한 연구(硏究))

  • Yoon, Eui-Pak;Lee, Young-Ho
    • Journal of Korea Foundry Society
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    • 제2권2호
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    • pp.2-9
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    • 1982
  • This paper is concerned with the improvement of impact and tensile Properties of spheroidal graphite cast iron of the following duplex matricess which were heat treated in the eutectic transformation temperature range (that is, $({\alpha}+{\gamma})$ coexisting range) ; ferrite-martensite, ferrite-bainite and ferrite-pearlite. The absorbed energy and maximum load was measured by recording the load-deflection curve with instrumented Charpy impact testing machine in the temperature range from $+100^{\circ}C$ to $-196^{\circ}C$. It was found the ferrite-bainite duplex matrix showed the highest toughness among the above matrices in the room temperature and the low temperature range. Comparison of this matrix to ferrite-pearlite matrix(that is, as cast) showed a lowering of $27^{\circ}C$ in the nil-ductility transition temperature (NDT) and a lowering of $40^{\circ}C$ in the ductile-brittle transition temperature (TrE), Which seems to result from the finner dimple pattern observed using miorofractography.

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Effect of Volume fraction of SiC Particle Reinforcement on the Wear Properties of 6061AI Composites (6061AI 복합재료 마모특성에 미치는 SiC입자 강화재 체적분율의 영향)

  • Kim, Heon-Joo
    • Journal of the Korean Society for Heat Treatment
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    • 제15권2호
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    • pp.82-92
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    • 2002
  • In the present investigation wear behavior of the 6061AI composites reinforced with 5, 10, 20% SiC particles for dry sliding against a SM45C counterface was studied as a function of load and sliding velocity. Sliding wear tests were conducted at two loads(19.6 and 49N) and three sliding velocities(0.2, 1 and 2 m/sec) at constant sliding distance of 4000 m using pin-on-disk machine under room temperature. Presence of SiC reinforcement particles in the composites has displayed a transition from mild to severe wear at relatively higher applied load and sliding velocity compare to that of the matrix metal. As the volume fraction of SiC particles increased, the transition moved to a more severe wear conditions. Eventually, mild wear prevailed at a most severe wear conditions in this study, that was 49N load and 2 m/sec sliding velocity in 20% SiC particle/6061AI composite.