• 제목/요약/키워드: Inverse Fourier Transformation

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A Probabilistic Interpretation of the KL Spectrum

  • Seongbaek Yi;Park, Byoung-Seon
    • Journal of the Korean Statistical Society
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    • 제29권1호
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    • pp.1-8
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    • 2000
  • A spectrum minimizing the frequency-domain Kullback-Leibler information number has been proposed and used to modify a spectrum estimate. Some numerical examples have illustrated the KL spectrum estimate is superior to the initial estimate, i.e., the autocovariances obtained by the inverse Fourier transformation of the KL spectrum estimate are closer to the sample autocovariances of the given observations than those of the initial spectrum estimate. Also, it has been shown that a Gaussian autoregressive process associated with the KL spectrum is the closest in the timedomain Kullback-Leibler sense to a Gaussian white noise process subject to given autocovariance constraints. In this paper a corresponding conditional probability theorem is presented, which gives another rationale to the KL spectrum.

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비등방 정지부 및 비대칭 회전부를 갖는 회전체의 주파수응답함수 특성에 관한 연구 (A Study on the Characteristics of Frequency Response Functions for Rotor System with Anisotropic Stator and Asymmetric Rotor)

  • 한동주
    • 한국항공우주학회지
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    • 제33권10호
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    • pp.42-50
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    • 2005
  • 주기적 시변계인 비등방 정지부 및 비대칭 회전부를 갖는 일반 회전체에 대해서, 유도된 해석 모델 및 운동방정식으로부터 시 변조계수를 이용하여 급수방정식을 구성하였다. 이들 운동방정식의 물리적인 변수를 이용한 직접 퓨리에변환의 역행렬로부터 주파수응답함수를 용이하게 유도하였고, 이들의 특성 및 경향을 분석 제시하였다.

4포트 커넥터 시스템의 등가회로 변환에 관한 연구 (Equivalent Circuit Model for Four Port Connector System)

  • 심민규;김종민;나완수
    • 전기학회논문지
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    • 제56권6호
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    • pp.1105-1110
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    • 2007
  • This paper describes an equivalent circuit modeling of 4-port connector system. A coupled transmission line was designed and fabricated, mimicking a 4-port connector system, and then S-parameters were measured using 4 port VNA (Vector Network Analyzer). The S-parameters from measurement and from Full-wave simulator coincided quite nice. By using these S parameters, an equivalent circuit parameters for a 4-port system was obtained. The time domain response from the equivalent circuit model matched to the signals, which was measured using TDR(Time Domain Reflectometry) meter. We were also convinced that there should be enough bandwidth to get a meaningful time domain result from Fourier inverse transformation of the S parameters. In addition, we applied the conversion algorithm to the 4-port connector system, which calculates the S-parameters of a 4 port system using the data from a 2-port VNA with the other ports open. Comparison of the two data, one from measurement and the other one from the conversion algorithm, was made in this manuscript.

광학식 표면 거칠기 계의 디지탈 신호처리 (Digital Signal Processing for the Optical Surfaece Roughness System)

  • 김희남;허웅;구만서
    • 한국안전학회지
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    • 제6권2호
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    • pp.21-30
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    • 1991
  • In this paper, we study effect of waveness at the optical surface roughness measurement. In generally, waveness components cause errors in calculation of the roughness value of metal surface. We study about surface roughness signals In the frequency domain for separate two signal component of real roughness and waveness by digital signal processing methods. Thereafter, determine low and high Component of frequency spectrum. By this separating frequency value we design liner low and high pass filter which cutoff frequency is 1 Hz. After this process, converted each filtered spectrum by inverse discrete fourier transformation to time domain waveness and real roughness signals We calculate surface roughness value from filtered roughness signals. For evaluate this method, we use five specimens roughness signal which obtained from optical surface roughness measuring system in 3mm/s moving speed with 0.1 mm laser beam spot size As a result, we obtain more linerized roughness value than that of unfiltered roughness signals.

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충격하중계수의 크기에 따른 유한평판의 충격하중 작용점에서의 응력해석 (Stress Analysis at an Impact Loading Point of Finite Plates according to the dimensions of Impact Loading Parameter)

  • 김지훈;심재기;양인영
    • 한국안전학회지
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    • 제11권1호
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    • pp.46-52
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    • 1996
  • In this paper, an analytical method is proposed to find the dimensions of impact stresses with using the dimensions of impact loading parameter regardless of mass of impactor, velocity of impactor, and plate thickness. In analytical method of Impulsive stresses, the three-dimensional dynamic theory of elasticity using rectangular coordinates and the potential theory of displacement are utilized, and when the measurement of Impact loading is difficult especially for a steel ball colliding on an infinite plate, the impact loading can be obtained by using the classical plate theory and Hertz’s contact theory. And in the numerical analysis, the fast Fourier transform (F. F. T.) algorithm and the numerical inverse Laplace transformation are used because the analysis of impact loading Is difficult to obtain solutions by using the thress-dimensional dynamic theory of elasticity.

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컴퓨터 하드 디스크 드라이브 스핀들 모터 런아웃 측정 및 해석 (Analysis and Measurement of a HDD Spindle Motor Runout)

  • 장건희;김동균
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1997년도 추계학술대회논문집; 한국과학기술회관; 6 Nov. 1997
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    • pp.29-35
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    • 1997
  • This research presented a frequency analysis method to analyze NRRO in a computer hard disk drive. RRO was proved to be the harmonics of rotational frequency. The frequency components of NRRO is the subtraction of the harmonics from TIR in frequency domain, so that NRRO in time domain can be obtained by Fourier inverse transformation of NRRO in frequency domain. This method can make the experiments simple without the index signal indispensable to time domain analysis. This research also shows that NRRO is caused by the defect frequencies of ball bearing. Even though the excitation force of ball bearing is independent of the rotational speed, the amplitude of NRRO is magnified near the resonance frequencies of the spindle motor. NRRO in axial direction is almost twice bigger than that in radial direction, because the spindle motor has smaller stiffness in axial direction.

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스펙트럴 포물선 방정식 법을 이용한 수중음파 전달해석 (Analysis of Acoustic Propagation using Spectral Parabolic Equation Method)

  • 김국현;성우제
    • 한국음향학회지
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    • 제15권2호
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    • pp.72-78
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    • 1996
  • 본 논문에서는 2차원 양방향 포물선 방정식 법과 푸리에 변환을 이용하여 3차원 굴절현상 및 3차원 후방 산란파를 포함하는 $2\frac12$차원 문제를 푸는 방법에 대해 다루었다. 여기서 $2\frac12$ 차원 문제란 2차원적 해양환경 하에 3차원적 음원이 존재할 경우를 의미한다. 2차원 양방향 포물선 방정식법은 수치기법으로 깊이 방향과 수평거리 방향에 대해 각각 Galerkin법과 Crank-Nicolson법을 사용하며 수직 불연속 경계면에 의한 후방 산란파를 포함한 수평거리 의존 문제에 대해 유용한 해를 제공한다. 2차원 해양환경에서는 파수 k가 종 또는 횡 수평거리 방향과 깊이 방향에 대한 함수이므로 3차원 Helmholtz방정식 법을 이용해 스펙트럴 해를 구하여 다시 푸리에 역변환하면 최종 해를 구할 수 있다. 본 연구방법의 정확성을 시험하기 위해서 계단형 해저면을 갖는 간단한 해양환경에서 계산을 수행해 보았으며 대한해협의 특정지역에서의 3차원적 음파전달 특성을 살펴보았다.

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시간-주파수 변환에 요동보상을 적용한 UWB 레이다 바이스테틱 ISAR 이미징 (Bistatic ISAR Imaging with UWB Radar Employing Motion Compensation for Time-Frequency Transform)

  • 장문광;조춘식
    • 한국전자파학회논문지
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    • 제26권7호
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    • pp.656-665
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    • 2015
  • 본 논문에서는 시간-주파수 변환에 요동보상을 적용한 UWB 레이다 Bistatic ISAR (Bistatic Inverse Synthetic Aperture Radar: B-ISAR) 이미징에 적용하여 레이다 이미징의 선명도와 품질을 개선하였다. UWB 레이다를 사용하여 제안하는 시간-주파수 알고리즘을 검증하였으며, 이를 위하여 B-ISAR 알고리즘 절차, 시간-주파수 변환과 요동보상 개선 등 필요한 이론적 근거를 제시하였다. B-ISAR 이미징 알고리즘으로 이미지를 생성하였으며, UWB 바이스테틱 ISAR 이미징 생성시 요동보상을 적용한 시간-주파수 변환 기법인 STFT(Short-Time Fourier Transform), GWT(Gabor Wavelet Transform), WVD(Wigner-Ville distribution) 방식을 차례대로 구현하였다. 그리고 STFT, GWT와 WVD 알고리즘을 이용하여 B-ISAR 이미징 알고리즘의 성능을 비교하였으며, 그 결과 WVD가 다른 방식들에 비하여 영상이 선명하고, 퍼짐 현상이 줄어듦을 알 수 있었다.

S파라미터를 이용한 단상 변압기의 이상 상태 진단에 대한 연구 (Diagnosis of Fault and Abnormal Conditions in a Single-Phase Transformer Using S-parameter Measurement)

  • 김정은;김광호;나완수
    • 전기학회논문지
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    • 제67권10호
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    • pp.1344-1352
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    • 2018
  • In this paper, we propose a two-port S-parameter data to diagnose the fault conditions of a single-phase transformer. Using the S-parameters we can measure the reflection and transmission characteristics of signal power at the port of a transformer, which can also be converted into ABCD parameters and Z parameters through a well-known conversion formulas. Transformer fault diagnoses can be performed based on the intuitive and qualitative/quantitative characteristics of the these parameters. In addition, we can obtain wide frequency characteristics at the primary and secondary sides of the transformer, which can be used to get time domain responses using the inverse Fourier transformation with some specific input waveform. In order to verify the effectiveness of the proposed method, the fault conditions were analyzed in simulation and experiment for 3 kVA single phase transformer with 15: 5 turns ratio, and the validity of the proposed method was verified.

취성재료의 충격파괴에 관한 연구 I

  • 양인영;정태권;정낙규;이상호
    • 대한기계학회논문집
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    • 제14권2호
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    • pp.298-309
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    • 1990
  • In this paper, a new method is suggested to analyze impulsive stresses at loading poing of concentrated impact load under certain impact conditions determined by impact velocity, stiffness of plate and mass of impact body, etc. The impulsive stresses are analyzed by using the three dimensional dynamic theory of elasticity so as to analytically clarify the generation phenomenon of cone crack at the impact fracture of fragile materials (to be discussed if the second paper). The Lagrange's plate theory and Hertz's law of contact theory are used for the analysis of impact load, and the approximate equation of impact load is suggested to analyze the impulsive stresses at the impact point to decide the ranage of impact load factor. When impact load factors are over and under 0.263, approximate equations are suggested to be F(t)=Aexp(-Bt)sinCt and F(t)=Aexp(-bt) {1-exp(Ct)} respectively. Also, the inverse Laplace transformation is done by using the F.F.T.(fast fourier transform) algorithm. And in order to clarity the validity of stress analysis method, experiments on strain fluctuation at impact point are performed on a supported square glass plate. Finally, these analytical results are shown to be in close agreement with experimental results.