• Title/Summary/Keyword: asymptotic analysis

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Asymptotic Performance of MIMO-MC-CDMA Systems in Multi-cell Environments (다중셀 환경에서 MIMO-MC-CDMA시스템의 점근적 성능)

  • Kim, Kyeong-Yeon;Ham, Jae-Sang;Lee, Chung-Yong
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.44 no.7 s.361
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    • pp.47-52
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    • 2007
  • This paper analyzes the output signal-to-interference-plus-noise ratio (SINR) for a multiple-input-multiple-output (MIMO) multicarrier code division multiple access (MC-CDMA) system with minium mean square error receivers in multi-cell environments. A previous work in single cell environments is extended into analysis in multi-cell environments. The use of Haar unitary code matrix for asymptotic analysis causes other cell interferences expressed with a diagonal matrix haying different diagonal values. This paper shows that other cell interferences converge to an identity matrix whose gain is expressed by only other cell interference power in mean square sense and finds asymptotic deterministic SINRs for a given other cell interference. Under the assumption that the sum of lognormal fading components is distributed by other lognormal function, we show the comparison between theoretical performances and simulations from the view point of bit error rate and present average throughput performance according to the cell radius.

Bifurcation Modes in the Limit of Zero Thickness of Axially Compressed Circular Cylindrical Shell

  • Kwon, Young-Joo
    • Journal of Mechanical Science and Technology
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    • v.14 no.1
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    • pp.39-47
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    • 2000
  • Bifurcation intability modes of axially compressed circular cylindrical shell are investigated in the limit of zero thickness (i.e., h (thickness) ${\rightarrow}$ 0) analytically, adopting the general stability theory developed by Triantafyllidis and Kwon (1987) and Kwon (1992). The primary state of the shell is obtained in a closed form using the asymptotic technique, and then the straight-forward bifurcation analysis is followed according to the general stability theory to obtain the bifurcation modes in the limit of zero thickness in a full analytical manner. Hence, the closed form bifurcation solution is obtained. Finally, the result is compared with the classical one.

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The Analysis of TSC Equation by Asymptotic Estimation (점근해법에 의한 열자격 전류식의 분석)

  • Oh, Yong-Cheul;Hong, Jin-Woong;Kim, Ki-Joon
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2003.05d
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    • pp.96-99
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    • 2003
  • In this paper, it presents a method to calculate the escape frequency factor$(\nu)$ and its verification from TSC(Thermally Stimulated Current) equation and their simulation curves. To apply calculation method of $\nu$ using asymptotic estimation, it utilized TSC data with 1K interval. This method enables one to get the exact value of $\nu$ and activation energy at the same time by using computer programming. So, it regards their calculation method as a useful process to obtain the value of physical behavior.

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Asymptotic Expansion Homogenization of Permeability Tensor for Plain Woven Fabrics (평직에 대한 투과율 계수의 균질화)

  • Song, Young-Seok;Youn, Jae-Roun
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2005.04a
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    • pp.134-136
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    • 2005
  • Homogenization method is adopted to predict the permeability tenor for glass fiber plain woven fabrics. Calculating the permeability tensor numerically is an encouraging task because the permeability tensor is a key parameter in resin transfer molding (RTM). Based on multi-scale approach of the homogenization method, the permeability for the micro-unit cell within fiber tow is computed and compared with that obtained from flow analysis for the same micro-unit cell. It is found that they are in good agreement. In order to calculate the permeability tensor of macro-unit cell for the plain woven fabrics, the Stokes and Brinkman equations which describe inter-tow and intra-tow flow respectively are employed as governing equations. The effective permeabilities homogenized by considering intra-tow flow are compared with those obtained experimentally. Control volume finite element method (CVFEM) is used as a numerical method. It is shown that the asymptotic expansion homogenization method is an attractive method to predict the effective permeability for heterogeneous media.

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Development of the Numerical Procedures for the Control of Linear Periodic Systems (선형 주기시스템의 제어 및 수치해석적 절차 수립에 관한 연구)

  • Jo, Jang-Hyeon
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.12
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    • pp.121-128
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    • 2000
  • The scope of this paper is focused to the systems which have the time period and they should be necessarily studied in the sense of stability and design method of controller to stabilize the orignal unstable systems. In general, the time periodic systems or the systems having same motions during certain time interval are easily found in rotating motion device, i.e., satellite or helicopter and widely used in factory automation systems. The characteristics of the selected dynamic systems are analyzed with the new stability concept and stabilization control method based on Lyapunov direct method. The new method from Lyapunov stability criteria which satisfies the energy convergence is studied with linear algebraic method. And the numerical procedures are developed with computational programming method to apply to the practical linear periodic systems. The results from this paper demonstrate the usefulness in analysis of the asymptotic stability and stabilization of the unstable linear periodic system by using the developed simulation procedures.

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Nonparametric Tests for Monotonicity Properties of Mean Residual Life Function

  • Jeon, Jong-Woo;Park, Dong-Ho
    • Journal of the Korean Statistical Society
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    • v.26 no.1
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    • pp.101-116
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    • 1997
  • This is primarily an expository paper that presents several nonparametric procedures for testing exponentiality against certain monotonicity properties of the mean residual life function, tests against the trend change in such function attract a great deal of attention of late in reliability analysis. In this note, we present some of the known testing procedures regarding the behavior of mean residual life function. These tests are also compared in terms of asymptotic relative efficiency and empirical power against a few alternatives. The tests based on incomplete data are also briefly discussed.

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Nonparametric M-Estimation for Functional Spatial Data

  • Attouch, Mohammed Kadi;Chouaf, Benamar;Laksaci, Ali
    • Communications for Statistical Applications and Methods
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    • v.19 no.1
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    • pp.193-211
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    • 2012
  • This paper deals with robust nonparametric regression analysis when the regressors are functional random fields. More precisely, we consider $Z_i=(X_i,Y_i)$, $i{\in}\mathbb{N}^N$ be a $\mathcal{F}{\times}\mathbb{R}$-valued measurable strictly stationary spatial process, where $\mathcal{F}$ is a semi-metric space and we study the spatial interaction of $X_i$ and $Y_i$ via the robust estimation for the regression function. We propose a family of robust nonparametric estimators for regression function based on the kernel method. The main result of this work is the establishment of the asymptotic normality of these estimators, under some general mixing and small ball probability conditions.

Asymptotic properties of monitoring procedure for parameter change in heteroscedastic time series models (이분산 시계열 모형에서 모수의 변화에 대한 모니터링 절차의 점근 성질)

  • Kim, Soo Taek;Oh, Hae June
    • The Korean Journal of Applied Statistics
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    • v.33 no.4
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    • pp.467-482
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    • 2020
  • We investigate a monitoring procedure for the early detection of parameter changes in location-scale time series models. We introduce a detector for monitoring procedure based on modified residual cumulative sum (CUSUM). The asymptotic properties of the monitoring procedure are established under the null and alternative hypotheses. Simulation results and data analysis are also provided for illustration.

The Motion Characteristics of a Marine Riser in Regular Wave Condition (규칙파중 석유시추보호관의 운동특성에 관한 연구)

  • 김용철;이판묵
    • Journal of Ocean Engineering and Technology
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    • v.1 no.1
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    • pp.49-56
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    • 1987
  • The dynamic behaviour of a marine riser was studied theoretically and experimentally. In linear analysis, the natural frequencies and mode shapes of the riser were obtained from the experiment and they were found to be in good agreement with theoretical results by using a simple asymptotic formula. In nonlinear ananlysis including viscous drag and large displacement, a numerical-perturbation technique based on the derived linear asymptotic solutions is used to predict the displacements and stresses of the riser in harmonic motion. These results were also compared with experimental data and found to be in general in good agreement.

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A Singular Perturbation-Like Approach to EDFA Gain Control Based on Observer Techniques

  • Song, Seong-Ho;Chang, Dong Eui;Lee, Kwang Y.;Kim, Ho-Chan
    • Journal of Electrical Engineering and Technology
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    • v.10 no.4
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    • pp.1864-1876
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    • 2015
  • In this paper, we propose a singular perturbation-like approach to EDFA gain controller design and analysis. Considering a three-level model of EDFA, a gain controller containing a state observer and a channel add/drop estimator is designed based on a singular perturbation - like concept. The proposed design methodology is shown to be effective and advantageous not only in theoretically verifying the asymptotic stability of systems with multi-time scales such as EDFA but also in designing an asymptotic estimator for channel add/drops which does not satisfy the matching condition.