• Title/Summary/Keyword: Fourier approximation

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Analysis for Lubrication between a Rotating Cylinder and a Translating Plate (회전하는 원통과 병진운동하는 평판사이의 윤활유동해석)

  • 정호열;정재택
    • Tribology and Lubricants
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    • v.18 no.6
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    • pp.411-417
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    • 2002
  • Two dimensional slow viscous flow between a rotating cylinder and a translating plate is investigated using Stokes' approximation. An exact formal expression of the stream function is obtained by using the bipolar cylinder coordinates and Fourier series expansion. From the stream function obtained, the streamline patterns are shown and the pressure distribution in the flow field is determined. By integrating the stress distributions on the cylinder, the farce and the moment exerted on the cylinder are calculated. The flow rate through the gap between the cylinder and the plate is also determined as a function of the distance between the cylinder and the plate. Special attention is directed to the case of very small distance between the cylinder and the plate concerned with the lubrication theory and the minimum pressure is calculated to explain a possible cavitation.

Study of robust watermarking method in medical image (의료영상에서의 강인한 워터마킹 기법에 관한 연구)

  • 남기철;박무훈
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2003.05a
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    • pp.255-258
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    • 2003
  • Recently, Digital Watermarking is used to authenticate data and to determine whether the data are distorted or not in medical images which is digitalized. The Fourier Mellin method using the Fourier Transform and the Log-Polar coordinate transform gets an invariant feature for RST distortion in images. But there are several problems in the real materialization. Interpolation of the image value should be considered according to the pixel position and so a watermark loss, original image distortion, numerical approximation is happened. Therefore there should be solved to realization of the Fourier Mellin method. Using the Look up table, there reduce the data loss caused by the conversion between Rectangular and Polar coordinate. After diagnose, medical images are transformed the Polar coordinate and taken the Discrete Fourier transform in the center of ROI region. Maintaining the symmetry in Fourier magnitude coefficient, the gaussian distributed random vectors and binary images are embedded in medical images.

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Analysis of TE-Wave Scattering from Transversal-Shifted Tandem Slits Using Wiener-Hopf Techniques and Fourier Transform Analysis (Wiener-Hopf Technique와 Fourier Transform Analysis를 이용한 병렬 슬릿의 TE파 산란 해석)

  • Seo, Tae-Yoon;Ahn, Sung-Hwan;Lee, Jae-Wook;Cho, Choon-Sik
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.19 no.9
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    • pp.968-977
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    • 2008
  • In this paper, an analysis of TE-wave scattering from transversal-shifted tandem slits using fourier transform analysis and Wiener-Hopf technique are derived and the electrical performances have been compared with a commercially availabel software. In Fourier transform analysis, it is shown that a fast-convergent series solution can be obtained when the distance between the slits is very narrow, while in Wiener-Hopf technique, it is found that the highly-accurate approximation can be obtained when the gap between the slits becomes wider. In addition, this paper has dealt with a good agreement between two analytical solutions.

A formal linearization of nonlinear systems based on the discrete-fourier transform

  • Takata, Hitoshi;Komatsu, Kazuo
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10b
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    • pp.1823-1827
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    • 1991
  • The problem regarding nonlinear systems has come to occupy an important position. In order to solve a nonlinear problem we have methods of linearization which are developed through linear approximation to adapt linear system theories. In this paper we present a formal linearization of nonlinear systems based on the discrete-Fourier transform (D.F.T.).

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The Fourier Analysis on DSA and P$_2$SA for Discrete-Ordinates Solutions of Neutron Transport Equations

  • Noh, Taewan
    • Proceedings of the Korean Nuclear Society Conference
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    • 1995.10a
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    • pp.103-108
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    • 1995
  • By applying the P$_1$ and P$_2$ equations to the operator form of a synthetic acceleration, we derive the p,-acceleration (diffusion synthetic acceleration: DSA) and P$_2$-acceleration (p$_2$SA) schemes in one dimensional slab geometry. We Fourier-analyze the derived acceleration schemes with the discrete-ordinates transport equation and showed that the DSA outperforms the P$_2$SA. These results confirm that one cannot simply assume that replacement of the DSA with a higher order approximation will lead to a better acceleration performance.

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Shift-invariant face recognition based on the karhunen-loeve approximationof amplitude spectra of fourier-transformed faces (Fourier 변환된 얼굴의 진폭스펙트럼의 karhunen-loeve 근사 방법에 기초한 변위불변적 얼굴인식)

  • 심영미;장주석;김종규
    • Journal of the Korean Institute of Telematics and Electronics C
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    • v.35C no.3
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    • pp.97-107
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    • 1998
  • In face recognition based on the Karhunen-Loeve approximation, amplitudespectra of Fourier transformed facial images were used. We found taht the use of amplitude spetra gives not only the shift-invariance property but also some improvment of recognition rate. This is because the distance between the varing faces of a person compared with that between the different persons perfomed computer experiments on face recognitio with varing facial images obtained from total 55 male and 25 females. We confirmed that the use of amplitude spectra of Fourier-trnsformed facial imagesgives better recognition rate for avariety of varying facial images including shifted ones than the use of direct facial images does.

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Approximate Method of Multi-Layer Green's Function Using FDTD Scheme and Rational Function Approximation (FDTD 방법과 분수 함수 근사법을 이용한 다층 구조에서의 Green 함수 근사화)

  • Kim, Yong-June;Koh, Il-Suek;Lee, Yong-Shik
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.22 no.2
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    • pp.191-198
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    • 2011
  • In this paper, a method to approximate a multi-layer Green's function is proposed based on a FDTD scheme and a rational function approximation. For a given horizontal propagation wavenumber, time domain response is calculated and then Fourier transformed to the spectral domain Green's function. Using the rational function approximation, the pole and residue of the Green's function can be estimated, which are crucial for a calculation of a path loss. The proposed method can provide a wideband Green's function, while the conventional normal mode method can be applied to a single frequency problem. To validate the proposed method, We consider two problems, one of which has a analytical solution. The other is about multi-layer case, for which the proposed method is compared with the known normal mode solution, Kraken.

Resonant response of spar-type floating platform in coupled heave and pitch motion

  • Choi, E.Y.;Cho, J.R.;Jeong, W.B.
    • Structural Engineering and Mechanics
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    • v.65 no.5
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    • pp.513-521
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    • 2018
  • In this paper, the resonance response of spar-type floating platform in coupled heave and pitch motion is investigated using a CPU time-effective numerical method. A coupled nonlinear 2-DOF equation of motion is derived based on the potential wave theory and the rigid-body hydrodynamics. The transient responses are solved by the fourth-order Runge-Kutta (RK4) method and transformed to the frequency responses by the digital Fourier transform (DFT), and the first-order approximation of heave response is analytically derived. Through the numerical experiments, the theoretical derivation and the numerical formulation are verified from the comparison with the commercial software AQWA. And, the frequencies of resonance arising from the nonlinear coupling between heave and pitch motions are investigated and justified from the comparison with the analytically derived first-order approximation of heave response.

Analysis of the Three Phase Inductor-Converter Bridge Circuit by Means of State-Space Averaging Method. (상태변수 평균화법에 의한 삼상 ICB회로 해석)

  • Park, Min-Ho;Hong, Soon-Chan;Choy, Ick;Oh, Soo-Hong
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.38 no.9
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    • pp.701-709
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    • 1989
  • The time-averaged behavior of the three-phase Inductor-Converter Bridge (ICB) circuit has been analyzed by using the state-space averaging method. Especially, a second order approximation in the matrix expansion makes the analysis possible. The results are in a closed form which is quite different from the conventional solution obtained by using the Fourier Series. Therefore, the computational difficulties in evaluating the infinite Fourier series can be avoided and the results derived in this paper are available expecially in real time control. By comparing with the Fourier result, it has been verified that the analysis by means of the state-space averaging method is more accurate and simple. The digital simulation and the equivalent experiments have also been carried out to confirm the theoretical results.

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System Realization by Using Inverse Discrete Fourier Transformation for Structural Dynamic Models

  • Kim, Hyeung Y.;W. B. Hwang
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.289-294
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    • 1998
  • The distributed-parameter structures expressed with the partial differential equations are considered as the infinite-dimensional dynamic system. For implementation of a controller in multivariate systems, it is necessary to derive the state-space reduced order model. By the eigensystem realization algorithm, we can yield tile subspace system with the Markov parameters derived from the measured frequency response function by the inverse discrete Fourier transformation. We also review the necessary conditions for the convergence of the approximation system and the error bounds in terms of the singular values of Markov-parameter matrices. To determine the natural frequencies and modal damping ratios, the modal coordinate transformation is applied to the realization system. The vibration test for a smart structure is performed to provide the records of frequency response functions used in the subspace system realization.

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