• Title/Summary/Keyword: 근사식

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An Approximated Model of the Coefficients for Interchannel Interference of OFDM System with Frequency Offset (주파수 오프셋이 있는 OFDM시스템에서 채널간간섭의 간섭계수 근사화 모델)

  • Li, Shuang;Kwon, Hyeock-Chan;Kang, Seog-Geun
    • The Journal of the Korea institute of electronic communication sciences
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    • v.13 no.5
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    • pp.917-922
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    • 2018
  • In the conventional interchannel interference self-cancellation (ICI-SC) schemes, the length of sampling window is the same as the symbol length of orthogonal frequency division multiplexing (OFDM). Thus, the number of complex operations to compute the interference coefficient of each subchannel is significantly increased. To solve this problem, we present an approximated mathematical model for the coefficients of ICI-SC schemes. Based on the proposed approximation, we analyze mean squared error (MSE) and computational complexity of the ICI-SC schemes with the length of sampling window. As a result, the presented approximation has an error of less than 0.01% on the MSE compared to the original equation. When the number of subchannels is 1024, the number of complex computations for the interference coefficients is reduced by 98% or more. Since the computational complexity can be remarkably reduced without sacrificing the self-cancellation capability, it is considered that the proposed approximation is very useful to develop an algorithm for the ICI-SC scheme.

Wave Transformation Model in the Parabolic Approximation (포물형 근사식에 의한 천해파 산정모델)

  • 서승남
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.2 no.3
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    • pp.134-142
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    • 1990
  • A wide-angle approximation in the parabolic equation method is presented to calculate wave transformation in the shallow water. The parabolic approximation to the mild-slope equation is obtain-ed by the use of a splitting matrix, which leads to a generalized equation in form. A numerical model based on a finite difference scheme is presented and computational results are provided to test the model against the laboratory measurements of circular and elliptical shoals. The numerical results are in good agreement with most of experimental data. Therefore it can be concluded that the model shows greater capability to reproduce the characteristics of waves in the refractive focus.

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Approximation of the Characteristics Impedance of a Lossy Coaxial Line with a Thick Outer Conductor (두꺼운 외부도체를 가진 손실이 있는 동축선로의 특성임피던스 근사)

  • 강진섭;김정환
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.11 no.4
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    • pp.649-656
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    • 2000
  • In this paper, a closed exact from and its approximation of the characteristic impedance of a lossy coaxial line with a thick outer conductor are proposed. It is also shown for 3.5mm reference air line that the proposed approximation is accurate over the entire operating frequency range of the line.

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Derivation of Fitting Approximate Formula to Enhance the Accuracy of Cannon Tube Erosion Rate (포신 마모 예측의 정확도 향상을 위한 적합 근사식 유도(I))

  • Chung, Dong-Yoon;Oh, Myoung-Ho
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2002.05a
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    • pp.80-87
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    • 2002
  • We predict the unknown cannon tube erosion rate by using observed values of the standard cannon, 155mm Howitzer Ml85. We know the standard cannon's ten erosion observation values each 400 rounds. An approximate formula fitting the erosion values of the standard cannon has been derived. Numerical simulation applying this formula to the Rauf Imam's erosion equations is presented.

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Numerical Simulation of Monochromatic Wave Propagation Considering Breaking-Induced Currents over Submerged Shoal (쇄파 유도류를 고려한 수중천퇴상 규칙파 전파 수치모의)

  • 윤성범;박준영;정인길;홍경욱
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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    • 2002.08a
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    • pp.56-61
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    • 2002
  • 파의 굴절ㆍ회절은 포물형 근사식을 이용하여 상당히 높은 정도의 계산이 가능하다. 이 포물형 근사식은 규칙파 뿐만 아니라 불규칙파에도 적용할 수 있으며, 적당한 에너지 감쇠모형을 추가하면 쇄파까지도 고려할 수 있다. (중략)

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A Study on the Approximate Analysis of the Bending Moment for the Three-Span Continuous Curved Girder Bridges with Constant Cross Section (등단면 3경간 연속 곡선격자형교의 휨모멘트 근사해석에 관한 연구)

  • Chang, Byung Soon;Seo, Sang Geun;Cha, Ki Hyuk
    • Journal of Korean Society of Steel Construction
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    • v.11 no.2 s.39
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    • pp.131-142
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    • 1999
  • The general behavior of the curved girder including the warping effects can be presented as the series of differential equations developed by Vlasov. Generally, bending moment is the most important factor for engineer to decide the section of the girder. In order to accommodate easiness of the structural analysis for the curved girder bridge, this paper suggest the ratios of bending moment of curved gilder to that of straight girder. These ratios are presented by an approximate formula setting central angle ${\theta}(L/R)$ as a variable. The approximate formula of the maximum bending moment ratios and influence lines of all stress resultants can be used to design the three-span curved girder bridges.

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A Study on the Size of Buildings for Utilizing the Limit Slenderness Ratio Approximation Equation of Outrigger Structural System (아웃리거 구조시스템의 한계세장비 근사식 활용을 위한 건물규모에 대한 연구)

  • Yang, Jae-Kwang;Choi, Hyun-Sang
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.20 no.11
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    • pp.19-26
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    • 2019
  • To construct buildings on limited land, the size of the building is important. The development process needs to be minimized because determining the size of a structurally safe building at the planning stage incurs considerable time and cost. This study proposes the Limit Slenderness Ratio Approximation Equation. This study examined an outrigger structure system among several systems proposed for controlling the lateral displacement in tall buildings. This study compared the Limit Slenderness Ratio Approximation Equation with the approximate equation by changing the variables of the building model, and examined the size of the building using the approximate Equation. As an analysis program, the MAIDAS architectural structural analysis program was used to conduct model-specific analysis. The appropriate scale of the building to minimize the error between the approximate value calculated by the Limit Slenderness Ratio Approximation Equation and the analysis result of the structural analysis program is as follows. As the number of outrigger installation increases, the error can be reduced; the ratio of the cores is reasonable, from 20% to 30%, and the arrangement of the column is suitable only for the outer column without an internal column.

Higher Order Parabolic Wave Equations (고차 포물형 파랑 근사식)

  • Seo, Seung-Nam;Lee, Dong-Young
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.19 no.3
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    • pp.205-212
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    • 2007
  • Parabolic approximation wave models based on $Pad{\acute{e}}$ approximants are analyzed in order to calculate wave transformation. In this study a $Pad{\acute{e}}(2,2)$ parabolic approximation model is developed to increase the accuracy of computation in comparison with the existing models. Numerical studies on a constant sloping bed show that the new model proves to allow for much more successful treatment of large angles of incidence than is possible using the previously available models.

Improving the Accuracy of the Mohr Failure Envelope Approximating the Generalized Hoek-Brown Failure Criterion (일반화된 Hoek-Brown 파괴기준식의 근사 Mohr 파괴포락선 정확도 개선)

  • Youn-Kyou Lee
    • Tunnel and Underground Space
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    • v.34 no.4
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    • pp.355-373
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    • 2024
  • The Generalized Hoek-Brown (GHB) criterion is a nonlinear failure criterion specialized for rock engineering applications and has recently seen increased usage. However, the GHB criterion expresses the relationship between minimum and maximum principal stresses at failure, and when GSI≠100, it has disadvantage of being difficult to express as an explicit relationship between the normal and shear stresses acting on the failure plane, i.e., as a Mohr failure envelope. This disadvantage makes it challenging to apply the GHB criterion in numerical analysis techniques such as limit equilibrium analysis, upper-bound limit analysis, and the critical plane approach. Consequently, recent studies have attempted to express the GHB Mohr failure envelope as an approximate analytical formula, and there is still a need for continued interest in related research. This study presents improved formulations for the approximate GHB Mohr failure envelope, offering higher accuracy in predicting shear strength compared to existing formulas. The improved formulation process employs a method to enhance the approximation accuracy of the tangential friction angle and utilizes the tangent line equation of the nonlinear GHB failure envelope to improve the accuracy of shear strength approximation. In the latter part of this paper, the advantages and limitations of the proposed approximate GHB failure envelopes in terms of shear strength prediction accuracy and calculation time are discussed.

New approximations of the ruin probability in a continuous time surplus process (보험상품 파산확률의 새로운 근사방법)

  • Kwon, Cheonga;Choi, Seung Kyoung;Lee, Eui Yong
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.1
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    • pp.1-10
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    • 2014
  • In this paper, we study approximations of the ruin probability in a continuous time surplus process. First, we introduce the well-known approximation formulas of the ruin probability such as Cram$\acute{e}$r, Tijms' and De Vylder's methods. We, then, suggest new approximation formulas of two types, which improve the existing approximation formulas. One is Cram$\acute{e}$r and Tijms' type which makes use of the moment generating function of distribution of a claim size and the other is De Vylder's type which makes use of the surplus process with exponential claims. Finally, we compare, by illustrating numerical examples, the newly suggested approximation formulas with the existing approximation formulas of the ruin probability.