• Title/Summary/Keyword: Mathematical Models

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A Design of Behavioral Simulation Platform for Near Field Communication Transceiver using MATLAB Simulink (MATLAB simulink를 이용한 Near-Field Communication 송수신기의 behavioral simulation 플랫폼 설계)

  • Ahn, Deok-Ki;Bae, Sang-Geun;Hwang, In-Chul
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.10
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    • pp.1917-1922
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    • 2010
  • Near-Field Communication (NFC) is a short-range wireless communication technology evolved from RFID especially for the exchange of data between active and passive devices. This paper presents the mathematical models for the signal path of a NFC transceiver system and a behavioral simulation platform using MATLAB simulink. The approximated mathematical models simplify the simulation complexity of a transceiver and provide a quick evaluation. With this calculation platform, we can evaluate the system performance caused by the noise and the non-linearity of the individual blocks, and caused by system variables such as Effective Number of Bits (ENOB) of ADC and filter cutoff frequency. This platform provides us with a rapid prototyping, a reliable system design, and an efficient risk management during development of the NFC transceiver ICs.

SECOND-ORDER UNIVEX FUNCTIONS AND GENERALIZED DUALITY MODELS FOR MULTIOBJECTIVE PROGRAMMING PROBLEMS CONTAINING ARBITRARY NORMS

  • Zalmai, G.J.
    • Journal of the Korean Mathematical Society
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    • v.50 no.4
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    • pp.727-753
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    • 2013
  • In this paper, we introduce three new broad classes of second-order generalized convex functions, namely, ($\mathcal{F}$, $b$, ${\phi}$, ${\rho}$, ${\theta}$)-sounivex functions, ($\mathcal{F}$, $b$, ${\phi}$, ${\rho}$, ${\theta}$)-pseudosounivex functions, and ($\mathcal{F}$, $b$, ${\phi}$, ${\rho}$, ${\theta}$)-quasisounivex functions; formulate eight general second-order duality models; and prove appropriate duality theorems under various generalized ($\mathcal{F}$, $b$, ${\phi}$, ${\rho}$, ${\theta}$)-sounivexity assumptions for a multiobjective programming problem containing arbitrary norms.

PERFORMANCE ANALYSIS OF A STATISTICAL MULTIPLEXER WITH THREE-STATE BURSTY SOURCES

  • Choi, Bong-Dae;Jung, Yong-Wook
    • Communications of the Korean Mathematical Society
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    • v.14 no.2
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    • pp.405-423
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    • 1999
  • We consider a statistical multiplexer model with finite buffer capacity and finite number of independent identical 3-state bursty voice sources. The burstiness of the sources is modeled by describing both two different active periods (at the rate of one packet perslot) and the passive periods during which no packets are generated. Assuming a mixture of two geometric distributions for active period and a geometric distribution for passive period and geometric distribution for passive period, we derive the recursive algorithm for the probability mass function of the buffer contents (in packets). We also obtain loss probability and the distribution of packet delay. Numerical results show that the system performance deteriorates considerably as the variance of the active period increases. Also, we see that the loss probability of 2-state Markov models is less than that of 3-state Markov models.

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TRAVELING WAVE SOLUTIONS IN NONLOCAL DISPERSAL MODELS WITH NONLOCAL DELAYS

  • Pan, Shuxia
    • Journal of the Korean Mathematical Society
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    • v.51 no.4
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    • pp.703-719
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    • 2014
  • This paper is concerned with the traveling wave solutions of nonlocal dispersal models with nonlocal delays. The existence of traveling wave solutions is investigated by the upper and lower solutions, and the asymptotic behavior of traveling wave solutions is studied by the idea of contracting rectangles. To illustrate these results, a delayed competition model is considered by presenting the existence and nonexistence of traveling wave solutions, which completes and improves some known results. In particular, our conclusions can deal with the traveling wave solutions of evolutionary systems which admit large time delays reflecting intraspecific competition in population dynamics and leading to the failure of comparison principle in literature.

A Smooth Goodness-of-fit Test Using Selected Sample Quantiles

  • Umbach, Dale;Masoom Ali, M.
    • Journal of the Korean Statistical Society
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    • v.25 no.3
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    • pp.347-358
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    • 1996
  • A new test for goodness-of-fit is presented. It is a modification of a test of LaRiccia (1991). These tests are applicable to continuous lo-cation/scale models. The new test statistic is based on a few selected order statistics taken from the sample, while the LaRiccia test is based directly on the full sample. Each test embeds the hypothesized model in a larger linear model and proceeds to test the goodness-of-fit hy-pothesis by testing the coefficients of this linear model appropriately. The general theory is presented. The tests are compared via computer simulation to a related test of Ali and Umbach (1989) for distributions that could be used as lifetime models. An important aspect of all these tests is that only standard $X_2$ tables are used. Selection of the spacings of the order statistics is discussed.

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A Study on Teaching-Learning Model for Open Education in Mathematics (열린 수학교육 교수 학습 모형 연구)

  • 최택영;이교희
    • The Mathematical Education
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    • v.38 no.1
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    • pp.61-75
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    • 1999
  • This study has its purpose to develop an optimal teaching model in math class leading to an effective device of open education in mathematics being transformed from the current teacher-centered teaching to the individually specified student-centered one on the basis of the definitions and methods of open education learned from sundry literature references. Accordingly, this paper established several patterns of effective open math class for teaching specific math's contents, followed by developing applicable teaching-learning models for class situation rested on each math lesson's features. Unit learning models for open education in mathematics, which were made step by step according to each unit's contents were also presented to be applied to real class situations.

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New Bootstrap Method for Autoregressive Models

  • Hwang, Eunju;Shin, Dong Wan
    • Communications for Statistical Applications and Methods
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    • v.20 no.1
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    • pp.85-96
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    • 2013
  • A new bootstrap method combined with the stationary bootstrap of Politis and Romano (1994) and the classical residual-based bootstrap is applied to stationary autoregressive (AR) time series models. A stationary bootstrap procedure is implemented for the ordinary least squares estimator (OLSE), along with classical bootstrap residuals for estimated errors, and its large sample validity is proved. A finite sample study numerically compares the proposed bootstrap estimator with the estimator based on the classical residual-based bootstrapping. The study shows that the proposed bootstrapping is more effective in estimating the AR coefficients than the residual-based bootstrapping.

A Study on Sensitivity Analysis for Process Parameters in GMA Welding Processes

  • Kim, Ill-Soo;Park, Chang-Eun;An, Young-Ho;Park, Ju-Seog;Chon, Kwang-Suk;Jeong, Young-Jae
    • Proceedings of the KWS Conference
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    • 2003.05a
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    • pp.29-31
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    • 2003
  • Generally, the Quality of a weld joint is strongly influenced by process parameters during the welding process. In order to achieve high quality welds, mathematical models that can predict the bead geometry to accomplish the desired mechanical properties of the weldment should be developed. To achieve this objectives, a sensitivity analysis has been conducted and compared the relative impact of three process parameters on bead geometry in order to verify the measurement errors on the values of the uncertainty in estimated parameters. The results obtained show that developed mathematical models can be applied to estimate the effectiveness of process parameters for a given bead geometry, and a change of process parameters affects the bead width and bead height more strongly than penetration relatively.

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Kinetic Studies on Production of Pullulan by Aureobasidium pullulans

  • Xiaobei Zhan;Xinlei Qian;Yihui Zhu;Lee, Jin-Woo
    • Journal of Life Science
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    • v.11 no.2
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    • pp.116-119
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    • 2001
  • Xinlei studies on the production of pullulan by Aureobasidium pullulans using batch culture in a 15L bioreactor were carried out. The mathematical models were obtained in this study, which provided a reasonable description for the biomass, the product, and the substrate variation with time. The values frets the mathematical models were satisfactorily coincided with the experimental data for the biomass of A. pullulans, the production of pullulan and the utilization of sucrose as the sole carbon source.

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Performance Evaluation of Distributed Network-based System Adopting an Object-oriented Method (객체지향기법이 도입된 분산 네트워크기반 시스템의 실시간 응답성능 평가)

  • Pae, Duck-Jin;Kim, Hong-Ryeol;Kim, Dae-Won
    • Proceedings of the KIEE Conference
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    • 2002.07d
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    • pp.2531-2533
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    • 2002
  • In this paper, we evaluate feasibility of an object-oriented method in a distributed real-time control environment through the prediction of delay expected. We adopt CAN as the distributed network and the application layer of the CAN is composed of client/server communication model of COM and surroundings for the support of real-time capability of the COM. Mathematical models formalizing delays which are predicted to invoke in the COM architecture are proposed. Sensors and actuators which are widely used in distributed network-based systems are represented by COM objects in this paper. It is expected that the mathematical models can be used to protect distributed network-based systems from violation of real-time features by the COM.

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