• 제목/요약/키워드: Fourier Function

검색결과 613건 처리시간 0.023초

맞대기 용접 이음재 인장시험에서 발생한 음향방출 신호의 웨이블릿 변환과 응용 (A Study on the Wavelet Transform of Acoustic Emission Signals Generated from Fusion-Welded Butt Joints in Steel during Tensile Test and its Applications)

  • 이장규;윤종희;우창기;박성완;김봉각;조대희
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2005년도 춘계학술대회 논문집
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    • pp.342-348
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    • 2005
  • This study was carried out fusion-welded butt joints in SWS 490A high strength steel subjected to tensile test that load-deflection curve. The windowed or short-time Fourier transform (WFT or SIFT) makes possible for the analysis of non-stationary or transient signals into a joint time-frequency domain and the wavelet transform (WT) is used to decompose the acoustic emission (AE) signal into various discrete series of sequences over different frequency bands. In this paper, for acoustic emission signal analysis to use a continuous wavelet transform, in which the Gabor wavelet base on a Gaussian window function is applied to the time-frequency domain. A wavelet transform is demonstrated and the plots are very powerful in the recognition of the acoustic emission features. As a result, the technique of acoustic emission is ideally suited to study variables which control time and stress dependent fracture or damage process in metallic materials.

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An IE-FFT Algorithm to Analyze PEC Objects for MFIE Formulation

  • Seo, Seung Mo
    • Journal of electromagnetic engineering and science
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    • 제19권1호
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    • pp.6-12
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    • 2019
  • An IE-FFT algorithm is implemented and applied to the electromagnetic (EM) solution of perfect electric conducting (PEC) scattering problems. The solution of the method of moments (MoM), based on the magnetic field integral equation (MFIE), is obtained for PEC objects with closed surfaces. The IE-FFT algorithm uses a uniform Cartesian grid to apply a global fast Fourier transform (FFT), which leads to significantly reduce memory requirement and speed up CPU with an iterative solver. The IE-FFT algorithm utilizes two discretizations, one for the unknown induced surface current on the planar triangular patches of 3D arbitrary geometries and the other on a uniform Cartesian grid for interpolating the free-space Green's function. The uniform interpolation of the Green's functions allows for a global FFT for far-field interaction terms, and the near-field interaction terms should be adequately corrected. A 3D block-Toeplitz structure for the Lagrangian interpolation of the Green's function is proposed. The MFIE formulation with the IE-FFT algorithm, without the help of a preconditioner, is converged in certain iterations with a generalized minimal residual (GMRES) method. The complexity of the IE-FFT is found to be approximately $O(N^{1.5})$and $O(N^{1.5}logN)$ for memory requirements and CPU time, respectively.

웨이블렛 변환을 이용한 질량선 및 강체특성의 규명 (Identification of Mass-Lines and Rigid Body Properties using Wavelet Transform)

  • 안세진;정의봉;황대선
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 춘계학술대회논문집
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    • pp.115-120
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    • 2002
  • The rigid body properties of a structure may be estimated easily if the mass-line of the structure could be taken exactly. However, the exact mass-line may be hard to be obtained exactly in experiments. The mass line value can be read from the mass line in frequency response function. However, the mass lines in the frequency response function sometimes show the fluctuation with frequency, and it cannot be read correctly. In this paper, the wavelet transform is applied to obtain the good mass line value. The mass line calculated by using wavelet transform has unique value and showed in the range of fluctuated values of frequency response function. The rigid body properties obtained by wavelet transform also showed better results than those by fourier transform.

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웨이블렛 변환을 이용한 질량선 및 강체특성의 규명 (Identification of Mass-lines and Rigid Body Properties Using Wavelet Transform)

  • 안세진;정의봉;황대선
    • 한국소음진동공학회논문집
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    • 제12권9호
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    • pp.725-730
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    • 2002
  • The rigid body properties of a structure may be estimated easily if the mass-line of the structure could be taken exactly. However, the exact mass-line nay be hard to be obtained exactly in experiments. The mass line value can be read from the mass line in frequency response function. However, the mass lines in the frequency response function sometimes show the fluctuation with frequency, and it cannot be read correctly. In this paper, the wavelet transform is applied to obtain the good mass line value. The mass line calculated by using wavelet transform has unique value and showed in the range of fluctuated values of frequency response function. The rigid body properties obtained by wavelet transform also showed better results than those by fourier transform.

Partial Spectrum Detection and Super-Gaussian Window Function for Ultrahigh-resolution Spectral-domain Optical Coherence Tomography with a Linear-k Spectrometer

  • Hyun-Ji, Lee;Sang-Won, Lee
    • Current Optics and Photonics
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    • 제7권1호
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    • pp.73-82
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    • 2023
  • In this study, we demonstrate ultrahigh-resolution spectral-domain optical coherence tomography with a 200-kHz line rate using a superluminescent diode with a -3-dB bandwidth of 100 nm at 849 nm. To increase the line rate, a subset of the total number of camera pixels is used. In addition, a partial-spectrum detection method is used to obtain OCT images within an imaging depth of 2.1 mm while maintaining ultrahigh axial resolution. The partially detected spectrum has a flat-topped intensity profile, and side lobes occur after fast Fourier transformation. Consequently, we propose and apply the super-Gaussian window function as a new window function, to reduce the side lobes and obtain a result that is close to that of the axial-resolution condition with no window function applied. Upon application of the super-Gaussian window function, the result is close to the ultrahigh axial resolution of 4.2 ㎛ in air, corresponding to 3.1 ㎛ in tissue (n = 1.35).

싸이리스터제어 병렬보상기의 특성 연구 (A Study on the Characteristics of Thyristor Controlled Shunt Compensator)

  • 정교범
    • 전력전자학회논문지
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    • 제4권4호
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    • pp.368-376
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    • 1999
  • 본 논문은, 대표적인 FACTS기기중의 하나인 싸이리스터제어 병렬보상기의 특성 연구를 수행한다. 이를 위하여 푸리에 공간에서 전력조류 조건을 만족하는 싸이리스터 점호각을 수치해석적으로 구하고, 그 계산 결과를 이용하여 정상상태 및 고조파 특성을 해석하였다. 그리고, Poincare Mapping 이론을 이용한 스위칭 주파수영역에서 안정도 해석과 EMTP 시뮬레이션을 이용한 시평면상에서 해석결과의 검증 및 여러 운전점에서 과도응답특성의 비교연구를 수행하였다.

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웨이브렛 변환을 이용한 궤도틀림 분석 (Analysis method for the Measured Track Geometry Data using Wavelet Transform)

  • 이인규;김성일;여인호
    • 한국철도학회논문집
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    • 제9권2호
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    • pp.187-192
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    • 2006
  • The regularity of railway track alignment is a crucial component fur maintaining travel safety and the smoothness of passenger ride. The conventional spectral analysis has been considered to estimate the severity of the track irregularity from measured data. The time domain data used to be changed into the frequency domain by Fourier transform. Because the measuring points can be regarded as the time points, the spatial-frequency can be introduced instead of the time-frequency. Although FFT(Fast Fourier Transform) and/or PSD(Power Spectral Density) function could provide fairly localized information within frequency domain, but chronical configurations of data could be missed. In this study, we attempt to apply the Morlet wavelet transform for the purpose of a frequency-time-domain analysis rather than a frequency-domain analysis. The applicability of wavelet transform is examined for the estimation of the track irregularity with real measured track data on the section of Kyoung-bu line by EM-120 measuring vehicle. It is shown that the wavelet transform can be an effective tool to manage the track irregularity.

웨이브렛 스펙트럼 분석을 이용한 신호의 특징 검출 (Feature Detection of Signals using Wavelet Spectrum Analysis)

  • 배상범;김남호
    • 한국정보통신학회논문지
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    • 제10권4호
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    • pp.758-763
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    • 2006
  • 기초과학과 공학의 다양한 분야에서, 신호와 시스템을 정확하게 표현하고, 신호의 공간적, 시간적 변화로부터 유용한 정보를 획득하기 위한 많은 연구들이 수행되어 왔다. 이러한 분석 방법들에서, 신호를 주파수 성분들의 조합으로서 표현하는 퓨리에 변환은 가장 많은 분야에서 응용되고 있다. 그러나 퓨리에 변환은 시간 정보를 고려하지 않는 변환으로서 응용의 한계성을 지니고 있으므로 이를 극복하기 위해, 웨이브렛 변환을 비롯한 다양한 방법들이 제시되었다. 웨이브렛 변환은 스케일 변수에 따라 변화하는 윈도우를 사용하여 신호를 시간-스케일 공간상에서 표현하는 변환으로서, 다중해상도 분석이 가능하며, 응용환경에 따라 다양한 형태의 함수를 정의할 수 있다. 따라서 본 논문에서 신호의 특징을 검출하기 위해, 퓨리에 변환의 기저함수를 사용하여 웨이브렛 스펙트럼을 분석하였다.

정지홈과 회전홈을 갖는 저널베어링의 안정성 평가 (Stability analysis of the rotating and stationary grooved journal bearings)

  • 이민호;이지훈;장건희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2013년도 춘계학술대회 논문집
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    • pp.141-146
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    • 2013
  • This research investigates the stability analysis for the rotating and the stationary grooved journal bearing. The dynamic coefficients of the journal bearing are calculated by using FEM and the perturbation method. When journal bearing is in whirling motion, the dynamic coefficients have time-varying components as a sine wave due to the reaction force of oil film toward the center of journal even in the steady state. The solutions for the equations of motion can be assumed as the Fourier series expansion. The equations of motion can be rewritten as the linear algebraic equations with respect to the Fourier coefficients. Then, stability of the grooved journal bearing can be calculated by Hill's infinite determinant. The periodic function of dynamic coefficients is derived using Fourier Fast Transform(FFT).The stability of journal bearing is determined as rotating speed increases and the stability of rotating grooved journal bearing is compared and discussed with the stability of stationary grooved journal bearing.

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고속철도차량 윤축부근의 소음과 진동 측정을 통한 주행중 감시의 기초연구 (Running Monitoring by the Noise and Vibration Measurement near the Wheelset of the High-Speed Trains : A Preliminary Research)

  • 이준석;최성훈;박춘수
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2008년도 추계학술대회 논문집
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    • pp.1454-1462
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    • 2008
  • This paper is focused on the analysis of the noise and vibration measured near the wheelset of the high-speed trains using a time-varying frequency transform as a preliminary research of running monitoring. Due to the non-stationary characteristics, it is necessary to examine noise and vibration of the train with time-varying frequency transforms. In this paper, the short-time Fourier transform method is utilized - the stored data is localized by modulating with a window function, and Fourier transform is taken to each localized data. For the examination, the non-stationary noise and vibration of the high-speed train's wheelset are measured by using some microphones and accelerometers, and those signals are stored in a on-board data acquisition system. The non-stationary random signal analyses with the short-time Fourier transform are performed, and the result are classified as follows; auto-spectral density, cross-spectral density, frequency response, and coherence functions. From those functions, it is possible to observe the frequency characteristics of sleepers, switchers, tunnels, and steel bridges. Also, some distinct peaks, which are not dependent upon the train's speed, are identified from the results.

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