• Title/Summary/Keyword: Trace Function

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Relay Selection Based on Rank-One Decomposition of MSE Matrix in Multi-Relay Networks

  • Bae, Young-Taek;Lee, Jung-Woo
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2010.07a
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    • pp.9-11
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    • 2010
  • Multiple-input multiple-output (MIMO) systems assisted by multi-relays with single antenna are considered. Signal transmission consists of two hops. In the first hop, the source node broadcasts the vector symbols to all relays, then all relays forward the received signals multiplied by each power gain to the destination simultaneously. Unlike the case of full cooperation between relays such as single relay with multiple antennas, in our case there is no closed form solution for optimal relay power gain with respect to minimum mean square error (MMSE). Thus we propose an alternative approach in which we use an approximation of the cost function based on rank-one matrix decomposition. As a cost function, we choose the trace of MSE matrix. We give several simulation results to validate that our proposed method obtains a negligible performance loss compared to optimal solution obtained by exhaustive search.

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New decimations with 5-level cross-correlation and large linear span (5값 상호상관함숫값과 높은 선형스팬을 갖는 새로운 데시메이션들)

  • Kim, Jin-Gyoung;Cho, Song-Jin;Kim, Han-Doo;Choi, Un-Sook
    • The Journal of the Korea institute of electronic communication sciences
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    • v.8 no.2
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    • pp.263-269
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    • 2013
  • In this paper we give a proof for finding the values of the cross-correlation function $C_d({\tau})$, when $d=3{\cdot}2^m-2$ where n=2m, m=4k ($k{\geq}2$). And the linear span of the sequences in the proposed sequence family are derived in the some cases.

Disruption time scale of merged halos in a dense cluster environment

  • Shin, Jihye;Taylor, James E.;Peng, Eric
    • The Bulletin of The Korean Astronomical Society
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    • v.41 no.2
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    • pp.60.1-60.1
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    • 2016
  • To obtain a reliable estimate of the cold dark matter (CDM) substructure mass function in a dense cluster environment, one needs to understand how long a merged halo can survive within the host halo. Measuring disruption time scale of merged halos in a dense cluster environment, we attempt to construct the realistic CDM mass function that can be compared with stellar mass functions to get a stellar-to-halo mass ratio. For this, we performed a set of high-resolution simulations of cold dark matter halos with properties similar to the Virgo cluster. Field halos outside the main halo are detected using a Friend-of-Friend algorithm with a linking length of 0.02. To trace the sub-halo structures even after the merging with the main halo, we use their core structures that are defined to be the most 10% bound particles.

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physical structure of dynamic systems to implement a given system function (시스템함수를 실현하는 동적시스템의 물리구조에 관하여)

  • 박전수;김종식
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.04a
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    • pp.294-298
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    • 1996
  • This paper presents an attempt to find the physical structure of dynamic systems which achieves the behavior of a given system function. The scheme pursued by te paper would be regarded as synthesizing dynamic systems, and a method to synthesize them analytically is proposed by means of bond graph prototypes. The method proposed adopts several concepts used to synthesize networks in the electrical field, but yet demonstrates its own strengths such as the freedom from the causality assignment and determination of junction types. Also, it is shown that this method has further advantages in reticulating a given specification into feedforward and feedback expansions relative to electrical network synthesis and the method introduced by Redfield. The proposed method is examined through an example to trace the outline of the analytical synthesis of dynamic systems using bond graph prototypes.

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Structural Damage Detection Using Time Windowing Technique from Measured Acceleration during Earthquake (지진하중에 의해 발생된 가속도를 이용한 시간창 기법에 의한 구조물의 손상탐지)

  • Park, Seung-Keun;Lee, Hae-Sung
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2005.03a
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    • pp.529-535
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    • 2005
  • This paper presents a system identification (SI) scheme in time domain using measured acceleration data. The error function is defined as the time integral of the least squared errors between the measured acceleration and the calculated acceleration by a mathematical model. Damping parameters as well as stiffness properties of a structure are considered as system parameters. The structural damping is modeled by the Rayleigh damping. A new regularization function defined by the L1-norm of the first derivative of system parameters with respect to time is proposed to alleviate the ill-posed characteristics of inverse problems and to accommodate discontinuities of system parameters in time. The time window concept is proposed to trace variation of system parameters in time. Numerical simulation study is performed through a two-span continuous truss subject to ground motion.

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System Identification in Time Domain for Structural Damage Assessment (구조물 손상 탐지를 위한 시간 영역에서의 SI기법)

  • 이해성;박승근
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.11a
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    • pp.614-618
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    • 2003
  • This paper presents a system identification (SI) scheme in time domain using measured acceleration data. The error function is defined as the time integral of the least square errors between the measured acceleration and the calculated acceleration by a mathmatical model. Damping parameters as well as stiffness properties of a structure are considered as system parameters. The structural damping is modeled by the Rayleigh damping. A new regularization function defined by the L$_1$-norm of the first derivative of system parameters with respect to time is proposed to alleviate the ill-posed characteristics of inverse problems and to accommodate discontinuities of system parameters in time. The time window concept is proposed to trace variation of system parameters in time.

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Supersonic Axisymmetric Minimum Length Nozzle Conception at High Temperature with Application for Air

  • Zebbiche, Toufik
    • International Journal of Aeronautical and Space Sciences
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    • v.9 no.1
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    • pp.1-30
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    • 2008
  • When the stagnation temperature of a perfect gas increases, the specific heats and their ratio do not remain constant any more and start to vary with this temperature. The gas remains perfect; its state equation remains always valid, except, it is named in more by calorically imperfect gas. The aim of this work is to trace the profiles of the supersonic axisymmetric Minimum Length Nozzle to have a uniform and parallel flow at the exit section, when the stagnation temperature is taken into account, lower than the dissociation threshold of the molecules, and to have for each exit Mach number and stagnation temperature shape of nozzle. The method of characteristics is used with the algorithm of the second order finite differences method. The form of the nozzle has a point of deflection and an initial angle of expansion. The comparison is made with the calorically perfect gas. The application is for air.

Computer Analysis of Mathematical Model for Engine Control (엔진제어를 위한 수학적 모델의 컴퓨터 해석)

  • 김유남;우광방
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.38 no.9
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    • pp.724-732
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    • 1989
  • The structure of engine and its interaction are investigated and the construction of mathematical model for the performance evaluation is presented and then simulated. The total system is classified as air-fuel inlet element, intake manifold, combustion, and engine dynamics and their control function are schematically evaluated. Because of the model structure with general engine function and computer simulation of the chosen engine, physical characteristics of the corresponding engine and the engine data of normal operation state are used. According to the study, it is possible to predict the mixture rate by by the difference in the mass of fuel and air into cylinder and to evaluate and trace dynamic characteristic of operation state under various operating condition. The model characteristic under the transient operating condition makes it possible to effectively evaluate the operation of actual engine through the result of simulation.

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Power-aware Ad hoc On-Demand Distance Vector Routing for prolonging network lifetime of MANETs

  • Hoang, Xuan-Tung;Ahn, So-Yeon;Lee, Young-Hee
    • Proceedings of the Korea Information Processing Society Conference
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    • 2002.11b
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    • pp.1317-1320
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    • 2002
  • We present in this paper a new version of AODV that incorporates with "Minimizing Maximum node cost" by formulating that metric as a cost function of residual energy of nodes. An additional parameter is added to the cost function to consider the routing performance along with power-efficiency. The motivation of adding that new parameter is originated from the trace off between power-saving behaviors and routing performance.

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Radial basis function collocation method for a rotating Bose-Einstein condensation with vortex lattices

  • Shih, Y.T.;Tsai, C.C.;Chen, K.T.
    • Interaction and multiscale mechanics
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    • v.5 no.2
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    • pp.131-144
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    • 2012
  • We study a radial basis function collocation method (RBFCM) to discretize a coupled nonlinear Schr$\ddot{o}$dinger equation (CNLSE) that governs a two dimensional rotating Bose-Einstein condensate (BEC) with an angular momentum rotation term. We exploit a RBFCM-continuation method (RBFCM-CM) to trace the solution curve of the CNLSE. We compare the performance of the RBFCM-CM with the FEM-CM. We observe that the RBFCM-CM is very robust in a coarse grid for resolving the ground state solution with many vortices when the angular momentum rotation is close to the limit. Numerical results demonstrate the efficiency and accuracy of the RBFCM-CM for computing the superfluid density of the ground level of the BEC.