• Title/Summary/Keyword: Frequency domain solution

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The Analysis of Verbal Interaction in Elementary Science Programs Using Multi-Level Instruction (다수준 포함 교수법을 적용한 초등과학 프로그램에서의 언어적 상호작용 분석)

  • Jung, Suk-Jin;Shin, Young-Joon
    • Journal of The Korean Association For Science Education
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    • v.33 no.7
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    • pp.1450-1470
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    • 2013
  • The purpose of this study was to develop elementary science programs that used multi-level instruction and to analyze verbal interaction patterns in science classes that applied these programs. For this study, the 27 children from the fifth grade at B elementary school, located in Gyeonggi-do, were selected and separated into heterogeneous groups of four students. Verbal interactions occuring in two groups during each class were recorded using video. Elementary science programs using multi-level instruction were developed to target a fifth grade second semester 'Lesson 1. Human Body'. This program provided a mission form for each group and evaluation form for each child. A mission form depending on the children's level has different colors and levels of difficulty for questions. The evaluation form is composed of questions suitable for a child's level in reaching the goal with key concepts. The verbal interaction was mostly categorized into the cognitive domain and the affective domain for analysis. The cognitive domain was subdivided into question, response, making solution, receiving opinion, and the affective domain was divided into behavioral participation and students' attitude. Results of study showed that the frequency of the cognitive domain was higher than the frequency of the affective domain. In the cognitive domain, the median-level was of highest frequency in the children. In the affective domain, high-level was of highest frequency in the children. In terms of both the cognitive and affective domains of children, low-level exhibited the lowest frequency. Verbal interaction frequency was no difference between high-level and median level in cognitive and affective aspects, so median-level children were actively participating in activities similarly with high-level children. There were more types of interactions question, response, making solution, students' attitude in the median-low level children's verbal interaction than high-median level children's verbal interaction.

Analysis of Transient Scattering from 3-Dimensional Arbitrarily Shaped Conducting Structures Using Magnetic Field Integral Equation (자장 적분방정식을 이용한 3 차원 임의 형태 도체 구조의 지연 산란 해석)

  • 정백호;김채영
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.27 no.4B
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    • pp.379-387
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    • 2002
  • In this paper, we present a procedure to obtain the transient scattering response from three-dimensional arbitrarily shaped and closed conducting bodies using time-domain magnetic field integral equation (TD-MFIE) with triangular patch functions. This approach results in accurate and comparably stable transient responses from conducting scatterers. Detailed mathematical steps are included, and several numerical results are presented and compared with results from a time-domain electric field integral equation (TD-EFIE) and the inverse courier transform solution of the frequency domain results.

Unconditionally Stable Analysis of Transient Scattering from Conductors Using Time-Domain Combined Field Integral Equations (시간영역 결합적분식을 이용한 도체 과도산란의 무조건 안정된 해석)

  • 정백호;서정훈;이원우
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.40 no.8
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    • pp.340-348
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    • 2003
  • In this paper, we propose a novel formulation to solve a time-domain combined field integral equation (CFIE) for analyzing the transient electromagnetic scattering response from closed conducting bodies. Instead of the conventional marching-on in time (MOT) technique, tile solution method in this paper is based on the moment method that involves separate spatial and temporal testing procedures. Triangular patch vector functions are used for spatial expansion and testing functions for three-dimensional arbitrarily shaped closed structures. The time-domain unknown coefficient is approximated as a basis function set that is derived from tile Laguerre functions with exponentially decaying functions. These basis functions are also used as the temporal testing. Numerical results computed by the proposed method arc stable without late-time oscillations and agree well with the frequency-domain CFIE solutions.

Joint Transmitter and Receiver Optimization for Improper-Complex Second-Order Stationary Data Sequence

  • Yeo, Jeongho;Cho, Joon Ho;Lehnert, James S.
    • Journal of Communications and Networks
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    • v.17 no.1
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    • pp.1-11
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    • 2015
  • In this paper, the transmission of an improper-complex second-order stationary data sequence is considered over a strictly band-limited frequency-selective channel. It is assumed that the transmitter employs linear modulation and that the channel output is corrupted by additive proper-complex cyclostationary noise. Under the average transmit power constraint, the problem of minimizing the mean-squared error at the output of a widely linear receiver is formulated in the time domain to find the optimal transmit and receive waveforms. The optimization problem is converted into a frequency-domain problem by using the vectorized Fourier transform technique and put into the form of a double minimization. First, the widely linear receiver is optimized that requires, unlike the linear receiver design with only one waveform, the design of two receive waveforms. Then, the optimal transmit waveform for the linear modulator is derived by introducing the notion of the impropriety frequency function of a discrete-time random process and by performing a line search combined with an iterative algorithm. The optimal solution shows that both the periodic spectral correlation due to the cyclostationarity and the symmetric spectral correlation about the origin due to the impropriety are well exploited.

Harmonic seismic waves response of 3D rigid surface foundation on layer soil

  • Messioud, Salah;Sbartai, Badredine;Dias, Daniel
    • Earthquakes and Structures
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    • v.16 no.1
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    • pp.109-118
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    • 2019
  • This study, analyses the seismic response for a rigid massless square foundation resting on a viscoelastic soil layer limited by rigid bedrock. The foundation is subjected either to externally applied forces or to obliquely incident seismic body or surface harmonic seismic waves P, SV and SH. A 3-D frequency domain BEM formulation in conjunction with the thin layer method (TLM) is adapted here for the solution of elastodynamic problems and used for obtained the seismic response. The mathematical approach is based on the method of integral equations in the frequency domain using the formalism of Green's functions (Kausel and Peck 1982) for layered soil, the impedance functions are calculated by the compatibility condition. In this study, The key step is the characterization of the soil-foundation interaction with the input motion matrix. For each frequency the impedance matrix connects the applied forces to the resulting displacement, and the input motion matrix connects the displacement vector of the foundation to amplitudes of the free field motion. This approach has been applied to analyze the effect of soil-structure interaction on the seismic response of the foundation resting on a viscoelastic soil layer limited by rigid bedrock.

Optical encryption and decryption technique using virtual image in frequency domain (가상 영상을 이용한 주파수 영역에서의 광학적 암호화 및 복호화 방법)

  • 서동환;조규보;박세준;김수중;김정우;노덕수
    • Korean Journal of Optics and Photonics
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    • v.14 no.3
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    • pp.255-259
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    • 2003
  • In this paper, we propose an improved image encryption and decryption method using a virtual image and a joint transform correlator (JTC). The encrypted image is obtained by the Fourier transform of the product of a virtual-phase image and a random-phase image, and a Fourier transform of the decrypting key generated by the proposed phase assignment rule is used as the Fourier decrypting key. Based on the solution, the original image is reconstructed using JTC in the frequency-domain. The proposed method using a virtual image, which does not contain any information from the original image, prevents the possibility of counterfeiting by unauthorized people. And also the auto-correlation terms, which are the drawback of a JTC system, contribute to reconstructing the original image rather than to disturbing its identification. But because phase-only encryptions are sensitive to noise and scratches, phase errors can be generated in fabricating the encrypted image or the Fourier decrypting key so the errors that are responsible for degradation of the quality of the reconstructed image are analyzed and the solution is demonstrated. Computer simulations show the solution, and the proposed method is very useful for JTC architecture.

Time Domain Response of Random Electromagnetic Signals for Electromagnetic Topology Analysis Technique

  • Han, Jung-hoon
    • Journal of the Korea Society of Computer and Information
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    • v.27 no.2
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    • pp.135-144
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    • 2022
  • Electromagnetic topology (EMT) technique is a method to analyze each component of the electromagnetic propagation environment and combine them in the form of a network in order to effectively model the complex propagation environment. In a typical commercial communication channel model, since the propagation environment is complex and difficult to predict, a probabilistic propagation channel model that utilizes an average solution, although with low accuracy, is used. However, modeling techniques using EMT technique are considered for application of propagation and coupling analysis of threat electromagnetic waves such as electromagnetic pulses, radio wave models used in electronic warfare, local communication channel models used in 5G and 6G communications that require relatively high accuracy electromagnetic wave propagation characteristics. This paper describes the effective implementation method, algorithm, and program implementation of the electromagnetic topology (EMT) method analyzed in the frequency domain. Also, a method of deriving a response in the time domain to an arbitrary applied signal source with respect to the EMT analysis result in the frequency domain will be discussed.

Computational Efficiency on Frequency Domain Analysis of Large-scale Finite Element Model by Combination of Iterative and Direct Sparse Solver (반복-직접 희소 솔버 조합에 의한 대규모 유한요소 모델의 주파수 영역 해석의 계산 효율)

  • Cho, Jeong-Rae;Cho, Keunhee
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.32 no.2
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    • pp.117-124
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    • 2019
  • Parallel sparse solvers are essential for solving large-scale finite element models. This paper introduces the combination of iterative and direct solver that can be applied efficiently to problems that require continuous solution for a subtly changing sequence of systems of equations. The iterative-direct sparse solver combination technique, proposed and implemented in the parallel sparse solver package, PARDISO, means that iterative sparse solver is applied for the newly updated linear system, but it uses the direct sparse solver's factorization of previous system matrix as a preconditioner. If the solution does not converge until the preset iterations, the solution will be sought by the direct sparse solver, and the last factorization results will be used as a preconditioner for subsequent updated system of equations. In this study, an improved method that sets the maximum number of iterations dynamically at the first Krylov iteration step is proposed and verified thereby enhancing calculation efficiency by the frequency domain analysis.

Aspects on Nonuniqueness and Instability Inherent in Inverse Scattering Problems

  • Kim, Se-Yun
    • Journal of electromagnetic engineering and science
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    • v.3 no.2
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    • pp.133-139
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    • 2003
  • The nonuniqueness of a mathematically rigorous solution to 2-dimensional inverse scattering problems is explained in a limiting view of the numerical calculations based on the spectral-domain moment method. It is illustrated that its theoretical uniqueness cannot be assured even by performing additional measurements of the scattered fields not only along multiple lines but also with angular/frequency-diversities. In a real situation, however, computational error and measurement noise are inevitable. Those limitations render it meaningless to controvert the existence of a theoretically rigorous solution. Hence the most practical issue is how to remedy the instability of its practically approximate solution.

Solution of the Radiation Problem by the B-Spline Higher Order Kelvin Panel Method for an Oscillating Cylinder Advancing in the Free Surface

  • Hong, Do-Chun;Lee, Chang-Sup
    • Journal of Ship and Ocean Technology
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    • v.6 no.1
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    • pp.34-53
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    • 2002
  • Numerical solution of the forward-speed radiation problem for a half-immersed cylinder advancing in regular waves is presented by making use of the improved Green integral equation in the frequency domain. The B-spline higher order panel method is employed stance the potential and its derivative are unknown at the same time. The present numerical solution of the improved Green integral equation by the B-spline higher order Kelvin panel method is shown to be free of irregular frequencies which are present in the Green integral equation using the forward-speed Kelvin-type Green function.