• 제목/요약/키워드: Fourier spectral analysis

검색결과 182건 처리시간 0.03초

유수정리를 이용한 마이크로스트립 선로의 스펙트럼 영역 해석 (A spectral domain analysis of microstrip lines using a residue theorem)

  • 문병귀;진경수;박병우
    • 전자공학회논문지D
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    • 제35D권1호
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    • pp.8-15
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    • 1998
  • An analysis of the microstripline is started as an assumption of the axial & transveral current distribution. Applying the boundary conditions to the scalar wave equations of a electric & magnetic potential, the two simultaneous coupled integral equations are produced. The electronmagnetic fields in microstrip line can be obtained by solving these two coupled integral equaltion. In general, either a numerical analysis method or a Galerkin method was used to solve them. In this paper, a residue theorem is proposed to solve them. The electromagnetic fields are expressed as integral equations for LSE and LSM mode in the spectral domain. Applying a residue theorem to the Fourier transformed equation and Fourier inverse transformed equation which is necessary for interchanging the space domain and the spectral domain, the electromagnetic fields are expressed as algebraic equations whichare relatively easier to handle. the distributions of the electromagnetic field are shown at the range of -5w/2.leq.x.leq.5w/2, 0.lep.y.leq.4h for z=0. It agrees well with the results of the Quasi-TEM mode analysis.

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측선자력의 스펙트럼분석에 의한 자성체 심도추정 (Spectral Analysis Technique Applied to Magnetic Profile Data for Magnetic Depth Estimates)

  • 박창고;박창업
    • 자원환경지질
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    • 제22권1호
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    • pp.81-87
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    • 1989
  • 자력탐사 해석에 있어서 Slope, graphical, spectral 및 Fourier 해석 등을 포함한 많은 심도계산 방법들이 연구 발표되었다. 그러나 Peters의 half-slope 및 Vacquier 둥의 maximum-slope 방법들이 석유 탐사에 종사하는 지구물리학자들 간에 인기가 있고 널리 사용되고 있다. Slope 방법은 그 적용이 간단하고 쉬울 뿐만 아니라 대체적으로 신뢰성 있는 결과를 준다. Spectral 방법은 평균 깊이의 추정에는 빠르고 효과적이기는 하지만 고립된 개개 자력이상에 적용될 때 믿을 수 없는 결과가 나온다. Spectral 방법의 문제점을 줄이고 결과의 정확도를 높이기 위해서 이 방법의 신뢰도와 적용한계점에 대한 논의를 제시한다.

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Application of the Chebyshev-Fourier Pseudo spectral Method to the Eigenvalue Analysis of Circular Mindlin Plates with Free Boundary Conditions

  • Lee, Jinhee
    • Journal of Mechanical Science and Technology
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    • 제17권10호
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    • pp.1458-1465
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    • 2003
  • An eigenvalue analysis of the circular Mindlin plates with free boundary conditions is presented. The analysis is based on the Chebyshev-Fourier pseudospectral method. Even though the eigenvalues of lower vibration modes tend to convergence more slowly than those of higher vibration modes, the eigenvalues converge for sufficiently fine pseudospectral grid resolutions. The eigenvalues of the axisymmetric modes are computed separately. Numerical results are provided for different grid resolutions and for different thickness-to-radius ratios.

A New Acceleration Method of Additive Angular Dependent Rebalance with Extrapolation for Discrete Ordinates Transport Equation

  • Park, Chang-Je;Cho, Nam-Zin
    • Nuclear Engineering and Technology
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    • 제34권4호
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    • pp.314-322
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    • 2002
  • A new extrapolation method is developed and applied to the additive angular dependent rebalance (AADR) acceleration for discrete ordinates neutron transport calculations. With this extrapolation, the convergence of AADR solution for distinct discretizations between the high- order and low-order equations is remarkably improved and thus the “inconsistent discretization problem” is resolved. Fourier analysis is also performed to find the optimal extrapolation and weighting parameters, which give the smallest spectral radius. The numerical tests demonstrate that the AADR with extrapolation works well as predicted by the Fourier analysis.

시간-주파수 변환을 이용한 고속철도차량의 동특성 분석 (Analysis of Dynamic Characteristics of High Speed Trains Using a Time Varying Frequency Transform)

  • 이준석;최성훈;김상수;박춘수
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2008년도 춘계학술대회 논문집
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    • pp.841-848
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    • 2008
  • This paper examined dynamic characteristics of high speed trains using a time varying frequency transform. Fourier transform based methods are frequently used for the calculation of the dynamic characteristics of trains in the frequency domain, but they cannot represent the time-varying characteristics. Therefore it is necessary to examine their characteristics using a time-varying frequency transform. For the examination, the non-stationary vibration of wheelset, bogie, and carbody are measured using accelerometers and stored in a data aquisition system. They are processed with localization of the data by modulating with a window function, and Fourier transform is taken to each localized data, called the short-time Fourier transform. From the processed results, time varying auto-spectral density, cross-spectral density, frequency response, and coherence functions have been calculated. From the analysis, it is confirmed that the time varying frequency transform is a useful method for analyzing the dynamic characteristics of high speed trains.

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FOURIER'S TRANSFORM OF FRACTIONAL ORDER VIA MITTAG-LEFFLER FUNCTION AND MODIFIED RIEMANN-LIOUVILLE DERIVATIVE

  • Jumarie, Guy
    • Journal of applied mathematics & informatics
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    • 제26권5_6호
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    • pp.1101-1121
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    • 2008
  • One proposes an approach to fractional Fourier's transform, or Fourier's transform of fractional order, which applies to functions which are fractional differentiable but are not necessarily differentiable, in such a manner that they cannot be analyzed by using the so-called Caputo-Djrbashian fractional derivative. Firstly, as a preliminary, one defines fractional sine and cosine functions, therefore one obtains Fourier's series of fractional order. Then one defines the fractional Fourier's transform. The main properties of this fractal transformation are exhibited, the Parseval equation is obtained as well as the fractional Fourier inversion theorem. The prospect of application for this new tool is the spectral density analysis of signals, in signal processing, and the analysis of some partial differential equations of fractional order.

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비비례 진동감쇠를 갖는 선형 동역학계의 스펙트럴 해석법 (Spectral Analysis Method for the Multi-DOFs Dynamic Systems with Non-Proportional Damping)

  • 조주용;김성환;이우식
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2004년도 추계학술대회 논문집
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    • pp.411-416
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    • 2004
  • This paper introduces a fast Fourier transform (FFT)-based spectral analysis method for the transient responses as well as the steady-state responses of linear dynamic systems with non-proportional damping. The force vibration of a non-proportionally damped three-DOF system is considered as the illustrative numerical example. The proposed spectral analysis method is evaluated by comparing with the numerical solution obtained by the Runge-Kutta method

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Rapid discrimination of commercial strawberry cultivars using Fourier transform infrared spectroscopy data combined by multivariate analysis

  • Kim, Suk Weon;Min, Sung Ran;Kim, Jonghyun;Park, Sang Kyu;Kim, Tae Il;Liu, Jang R.
    • Plant Biotechnology Reports
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    • 제3권1호
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    • pp.87-93
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    • 2009
  • To determine whether pattern recognition based on metabolite fingerprinting for whole cell extracts can be used to discriminate cultivars metabolically, leaves and fruits of five commercial strawberry cultivars were subjected to Fourier transform infrared (FT-IR) spectroscopy. FT-IR spectral data from leaves were analyzed by principal component analysis (PCA) and Fisher's linear discriminant function analysis. The dendrogram based on hierarchical clustering analysis of these spectral data separated the five commercial cultivars into two major groups with originality. The first group consisted of Korean cultivars including 'Maehyang', 'Seolhyang', and 'Gumhyang', whereas in the second group, 'Ryukbo' clustered with 'Janghee', both Japanese cultivars. The results from analysis of fruits were the same as of leaves. We therefore conclude that the hierarchical dendrogram based on PCA of FT-IR data from leaves represents the most probable chemotaxonomical relationship between cultivars, enabling discrimination of cultivars in a rapid and simple manner.

Fractal dimension과 2차원 푸리에변환을 이용한 수질골의 특성화에 관한 실험적 연구 (Characterization of Trabecular Bone Structure using 2D Fourier Transform and Fractal Analysis)

  • 이건일
    • 치과방사선
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    • 제28권2호
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    • pp.339-353
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    • 1998
  • The purpose of this study was to investigate whether a radiographic estimate of osseous fractal dimension and power spectrum of 2D discrete Fourier transform is useful in the characterization of structural changes in bone. Ten specimens of bone were decalcified in fresh 50 ml solutions of 0.1 N hydrochloric acid solution at cummulative timed periods of 0 and 90 minutes. and radiographed from 0 degree projection angle controlled by intraoral parelleling device. I performed one-dimensional variance. fractal analysis of bony profiles and 2D discrete Fourier transform. The results of this study indicate that variance and fractal dimension of scan line pixel intensities decreased significantly in decalcified groups but Fourier spectral analysis didn't discriminate well between control and decalcified specimens.

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Generating a True Color Image with Data from Scanning White-Light Interferometry by Using a Fourier Transform

  • Kim, Jin-Yong;Kim, Seungjae;Kim, Min-Gyu;Pahk, Heui Jae
    • Current Optics and Photonics
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    • 제3권5호
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    • pp.408-414
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    • 2019
  • In this paper we propose a method to generate a true color image in scanning white-light interferometry (SWLI). Previously, a true color image was obtained by using a color camera, or an RGB multichannel light source. Here we focused on acquiring a true color image without any hardware changes in basic SWLI, in which a monochrome camera is utilized. A Fourier transform method was used to obtain the spectral intensity distributions of the light reflected from the sample. RGB filtering was applied to the intensity distributions, to determine RGB values from the spectral intensity. Through color corrections, a true color image was generated from the RGB values. The image generated by the proposed method was verified on the basis of the RGB distance and peak signal-to-noise ratio analysis for its effectiveness.