• 제목/요약/키워드: Fourier series Expansion

검색결과 113건 처리시간 0.031초

항공운송산업의 비용분석을 통한 규모의 경제성 추정;초월대수(Translog)비용함수와 푸리에(Fourier) 신축함수 비교 분석을 중심으로 (Economies of Scale in Multiproduct Firms;Evidence from Air Transport Industry)

  • 김제철;허석민;이동희;이영수
    • 한국항공운항학회지
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    • 제14권4호
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    • pp.38-47
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    • 2006
  • This study analyzes the expense structure of the air transport industry, based on the cost and income data of 18 major airlines, estimates the economic effectiveness of scale and conducts comparative analysis. As for the method of analysis, Translog cost function and the Fourier flexible function were used. The result showed that big companies had the economy of scale based on the Translog cost function, while the Fourier flexible function led to a estimation that expanding the input is not recommended, for the expansion of scale entails the poor economy of scale. It can be presumed that the economy of scale was estimated according to the U shape of the Translog cost function in the given data. On the other hand, the Fourier flexible cost function approaches the unknown function, as it is a Fourier series, and correctly infers the economy of scale based on the analyzed data. As for the flag carrier's economy of scale, it was inferred that the economy of scale existed by any of two functions. Therefore, the conclusion was that further expanding the scale will not cause any problem.

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PWM 제어 능동 교류 전력 필터의 개발 및 속도 개선 (Implementation of a PWM Controlled Active AC Power Filter Using a Fast PWM Control Method)

  • 김재현;박인규;박종근
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1987년도 정기총회 및 창립40주년기념 학술대회 학회본부
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    • pp.457-462
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    • 1987
  • This paper deals with the PWM controlled active AC power filter. A new PWM control method from the viewpoint of speed and simplicity is proposed. And a microprocessor-based controller is used to realize the active AC power filter. The existing PWM control methods are primarily based on Fourier series expansion and these methods need FFT calculation and solving nonlinear harmonic equations, which are heavy burden to real-time control. The proposed method is based upon generalized pulse series expansion and needs only definite integrals of harmonic signal. So, computational effort can be reduced by a large margin. The digital circuit using 16-bit microprocessor is designed to implement the actual active power filler.

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압축성 유체로 충진된 원통형 탱크의 고유진동수의 특성 (Natural Frequency Characteristics of a Cylindrical Tank Filled with Bounded Compressible Fluid)

  • 정경훈;김강수;박근배
    • 전산구조공학
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    • 제10권4호
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    • pp.291-302
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    • 1997
  • 이 논문은 압축성 유체로 채워진 원통형 탱크의 고유진동 특성을 파악하기 위한 해석적 방법을 제시하고 있다. 탱크의 동적거동은 유한 Fourier 급수전개 방법으로 전개하였으며, 압축성 유체는 선형 포텐셜 이론으로 전개하였다. 해석방법의 타당성을 검증하기 위하여 물로 채워진 양단고정의 경계조건을 갖는 원통형 탱크의 고유진동수를 해석적 방법으로 구한 다음, 상용 유한요소해석 프로그램인 ANSYS 5.2를 이용하여 검증하였다. 그 결과, 유한요소해석결과와 이론적인 방법으로 구한 이론해가 잘 일치하고 있음을 확인하였다. 또한 유체의 밀도와 압축성이 탱크의 고유진동수에 미치는 영향을 정규화된 무차원 고유진동수를 통해서 평가하였다. 유체의 밀도는 탱크의 모든 진동 모드의 고유진동수에 영향을 주지만, 유체 압축성의 영향은 저차 원주방향 모드의 진동수에서 더 크게 나타나고 있음을 확인할 수 있었다.

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GREEN FUNCTIONS ON THE p-ADIC VECTOR SPACE

  • SON, JIN-Woo;RIM, KYUNG-SOO
    • 대한수학회논문집
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    • 제20권4호
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    • pp.657-669
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    • 2005
  • Calculations of some integrals on the n-dimensional vector space over $\mathbb{Q}_p$ are useful in getting some other formulations of quantum mechanics and the field theory of p-adic mathematical physics. For reasons of these, we estimate several integrals. As an application, we derive some properties for the p-adic Green functions.

Parameter Estimation for an Infinite Dimensional Stochastic Differential Equation

  • Kim, Yoon-Tae
    • Journal of the Korean Statistical Society
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    • 제25권2호
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    • pp.161-173
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    • 1996
  • When we deal with a Hilbert space-valued Stochastic Differential Equation (SDE) (or Stochastic Partial Differential Equation (SPDE)), depending on some unknown parameters, the solution usually has a Fourier series expansion. In this situation we consider the maximum likelihood method for the statistical estimation problem and derive the asymptotic properties (consistency and normality) of the Maximum Likelihood Estimator (MLE).

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급수전개된 기저함수를 갖는 모멘트방법에 의한 파수영역의 역산란 방법 : 잡음의 영향 (A Spectral Inverse Scattering Technique by Using the Moment Method with Series-Expanded Basis Function : Noise Effect)

  • 최현철;김세윤;라정웅
    • 한국통신학회논문지
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    • 제21권1호
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    • pp.214-223
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    • 1996
  • 급수전개된 기저함수를 갖는 모멘트방법에 근거한 파수영역의 역산란 기법으로 재구성된 영상에서 잡음의 영향에 대해 연구하였다. 확장된 소영역에서의 전계를 푸리에 급수로 전개하고 재구성된 영상을 각 소영역 내에서 평균함으로써 개발된 파수영역의 역산란 방법의 이용시 재구성오차를 인가된 잡음보다 작게 줄일 수 있음을 알았다.

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Hydrodynamic forces on blocks and vertical wall on a step bottom

  • Mondal, Ramnarayan;Alam, Md. Mahbub
    • Wind and Structures
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    • 제30권5호
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    • pp.485-497
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    • 2020
  • A study, using potential water wave theory, is conducted on the oblique water wave motion over two fixed submerged rectangular blocks (breakwaters) placed over a finite step bottom. We have considered infinite and semi-infinite fluid domains. In both domains, the Fourier expansion method is employed to obtain the velocity potentials explicitly in terms of the infinite Fourier series. The unknown coefficients appearing in the velocity potentials are determined by the eigenfunction expansion matching method at the interfaces. The derived velocity potentials are used to compute the hydrodynamic horizontal and vertical forces acting on the submerged blocks for different values of block thickness, gap spacing between the two blocks, and submergence depth of the upper block from the mean free surface. In addition, the wave load on the vertical wall is computed in the case of the semi-infinite fluid domain for different values of blocks width and the incident wave angle. It is observed that the amplitudes of hydrodynamic forces are negligible for larger values of the wavenumber. Furthermore, the upper block experiences a higher hydrodynamic force than the lower block, regardless of the gap spacing, submergence depth, and block thickness.

선전류에 의해 발생되는 자장의 해석을 위한 유한요소법과 해석해의 결합 기법 (Analysis of Magnetic Fields Induced by Line Currents using Coupling of FEM and Analytical Solution)

  • 김영선;조대훈;이기식
    • 전기학회논문지P
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    • 제55권3호
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    • pp.141-145
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    • 2006
  • The line current problem(2-dimensional space : point source) is not easy to analyze the magnetic field using the standard finite element method(FEM), such as overhead trolley line or transmission line. To supplement such a defect this paper is proposed the coupling scheme of analytical solution and FEM. In analysis of the magnetic field using the standard FEM. If the current region is a relatively small compared to the whole region. Therefore the current region must be finely divided using a large number of elements. And the large number of elements increase the number of unknown variables and the use of computer memories. In this paper, an analytical solution is suggested to supplement this weak points. When source is line current and the part of interest is far from line current, the analytical solution can be coupling with FEM at the boundary. Analytical solution can be described by the multiplication of two functions. One is power function of radius, the other is a trigonometric function of angle in the cylindrical coordinate system. There are integral constants of two types which can be established by fourier series expansion. Also fourier series is represented as the factor to apply the continuity of the magnetic vector potential and magnetic field intensity with tangential component at the boundary. To verify the proposed algorithm, we chose simplified model existing magnetic material in FE region. The results are compared with standard FE solution. And it is good agreed by increasing harmonic order.

웨이블릿 부호화 자기공명영상 (Wavelet Encoded MR Imaging)

  • 김응규;이수종
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2005년도 추계종합학술대회
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    • pp.343-346
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    • 2005
  • In this study, a basic concept of wavelet encoding and its advantages over Fourier based phase encoding application. Wavelet encoding has been proposed as an alternative way to Fourier based phase encoding in magnetic resonance imaging. In wavelet encoding, the RF pulse is designed to generate wavelet-shaped excitation profile of spins. From the resulting echo signals, the wavelet transform coefficients of spin distribution are acquired and an original spin density is reconstructed from wavelet expansion. Wavelet encoding has several advantages over phase encoding. By minimizing redundancy of the data acquisition in a dynamic series of images, we can avoid some encoding steps without serious loss of quality in reconstructed image. This strategy may be regarded as data compression during imaging. Although there are some limitations in wavelet encoding, it is a promising scheme in a dynamic imaging.

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삼차원 판이론의 유한요소해석 (Finite Element Analysis and Evaluation of a Three-dimensional Plate Theory)

  • 조한욱
    • 전산구조공학
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    • 제8권1호
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    • pp.147-160
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    • 1995
  • 종속변수와 기본 탄성방정식의 가중잔차 근사식의 Fourier 급수 전개를 이용한 3차원 판이론을 제시하였다. 판의 가중잔차 평형방정식은 가중된 변위로 표시되며, 그 결과는 다시 위치에너지 Functional을 이용하여 유한요소해석을 수행하였다. 본 해석은 Strip판에 적용되어 2가지 예를 분석하였으며, 예제의 결과는 이론해와 잘 일치하였다.

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