• 제목/요약/키워드: relative Fourier transform

검색결과 80건 처리시간 0.026초

ABSTRACT RELATIVE FOURIER TRANSFORMS OVER CANONICAL HOMOGENEOUS SPACES OF SEMI-DIRECT PRODUCT GROUPS WITH ABELIAN NORMAL FACTOR

  • Farashahi, Arash Ghaani
    • 대한수학회지
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    • 제54권1호
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    • pp.117-139
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    • 2017
  • This paper presents a systematic study for theoretical aspects of a unified approach to the abstract relative Fourier transforms over canonical homogeneous spaces of semi-direct product groups with Abelian normal factor. Let H be a locally compact group, K be a locally compact Abelian (LCA) group, and ${\theta}:H{\rightarrow}Aut(K)$ be a continuous homomorphism. Let $G_{\theta}=H{\ltimes}_{\theta}K$ be the semi-direct product of H and K with respect to ${\theta}$ and $G_{\theta}/H$ be the canonical homogeneous space (left coset space) of $G_{\theta}$. We introduce the notions of relative dual homogeneous space and also abstract relative Fourier transform over $G_{\theta}/H$. Then we study theoretical properties of this approach.

푸리에 변환을 이용한 다중 재폐로방식에서의 사고전류 특징 추출 (Feature Extraction of Fault Current using Fourier Transform in the Multi-Shot Reclosing Scheme)

  • 오정환;윤상윤;김재철
    • 대한전기학회논문지:전력기술부문A
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    • 제49권2호
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    • pp.50-55
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    • 2000
  • This paper presents the feature extraction of fault currents related to the multi-shot reclosing scheme in the power distribution system. In order to get the fault current waveform, we have measured the fault currents by the fault recorders which have been installed at the secondary side of 154/22.9[kV] substation transformer. These waveforms are classified into temporary and permanent fault. For the classified waveforms, Fourier transform is used to extract the feature of the fault current waveforms. After the waveforms are analyzed by using Fourier transform, the magnitude spectrum and the relative variation of THD (Total Harmonic Distortion) are calculated. And then the relative variation of THD is great in the temporary faults, and is small in the permanent faults.

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푸리에 변환을 이용한 다중 재폐로방식에서의 사고전류 특징 추출 (Feature Extraction of Fault Current using Fourier Transform on the Multi-Shot Reclosing)

  • 오정환;윤상윤;이난숙;김재철;배주천;김낙경
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 C
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    • pp.1130-1132
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    • 1999
  • This paper presents the feature extraction of fault current related to the multi-shot reclosing scheme in the power distribution system. Fourier transform is used to extract the feature of the fault current waveform in the case of the temporary fault and the permanent fault. After the waveform is analyzed using Fourier transform, the magnitude spectrum and the relative variation of THD are calculated. These results are that the relative variation of THD is great in the temporary fault and is little in the permanent fault.

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A New Image Clustering Method Based on the Fuzzy Harmony Search Algorithm and Fourier Transform

  • Bekkouche, Ibtissem;Fizazi, Hadria
    • Journal of Information Processing Systems
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    • 제12권4호
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    • pp.555-576
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    • 2016
  • In the conventional clustering algorithms, an object could be assigned to only one group. However, this is sometimes not the case in reality, there are cases where the data do not belong to one group. As against, the fuzzy clustering takes into consideration the degree of fuzzy membership of each pixel relative to different classes. In order to overcome some shortcoming with traditional clustering methods, such as slow convergence and their sensitivity to initialization values, we have used the Harmony Search algorithm. It is based on the population metaheuristic algorithm, imitating the musical improvisation process. The major thrust of this algorithm lies in its ability to integrate the key components of population-based methods and local search-based methods in a simple optimization model. We propose in this paper a new unsupervised clustering method called the Fuzzy Harmony Search-Fourier Transform (FHS-FT). It is based on hybridization fuzzy clustering and the harmony search algorithm to increase its exploitation process and to further improve the generated solution, while the Fourier transform to increase the size of the image's data. The results show that the proposed method is able to provide viable solutions as compared to previous work.

이동 표적에 의한 도플러 신호의 시간-주파수 분석 (Time-Frequency Analysis of the Doppler Signals by Moving Targets)

  • 손중탁;이승훈;박길흠
    • 한국군사과학기술학회지
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    • 제8권2호
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    • pp.38-48
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    • 2005
  • Instantaneous frequency of doppler signals is used to get the information of the relative velocity and the miss distance between a missile and a corresponding target. In this paper, we have performed time-frequency analysis and instantaneous frequency estimation with Short Time Fourier Transform(STFT), Wigner Ville Distribution(WVD) and Continuous Wavelet Transform(CWT) about the doppler signals generated by moving targets. Performance evaluation was performed using simulated doppler signals generated by a single moving target and two moving targets. From the results of the time-frequency analysis, we found that WVD method was the most efficient instantaneous frequency estimator among the three methods. But in case of two moving targets, WVD method got cross talks and CWT method got oscillation when two doppler frequencies were close to each other.

푸리에 변환을 이용한 3층 구조 박막의 두께 측정 (Determining the Thickness of a Trilayer Thin-Film Structure by Fourier-Transform Analysis)

  • 조현주;원준연;정영규;우봉주;윤준호;황보창권
    • 한국광학회지
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    • 제27권4호
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    • pp.143-150
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    • 2016
  • 분광광도계로 측정된 반사율 데이터를 활용하여 다층박막 각 층의 두께를 푸리에 변환 방법으로 결정하였다. 이를 위하여 이론적인 3층 다층박막 반사율 데이터를 생성하고 자체 작성한 Matlab 프로그램으로 델타함수의 피크 발생위치로부터 각 층의 두께를 결정하였으며, 박막의 광학적 두께가 730 nm 이상이 되는 경우 결정된 두께 오차는 1.0% 이하임을 알 수 있었다. 이 방법을 사용하여 바 코팅 방법으로 제작된 PI-(얇은 $SiO_2$)-PI 다층박막의 두께를 결정하고 그 결과를 SEM 측정결과와 비교하였다. 본 두께측정 방법은 각 층의 굴절률과 박막의 순서를 미리 인지하고 있어야 하는 단점이 있으나, 비파괴적인 방법으로 빠르게 다층 박막의 두께 분포를 결정할 수 있는 방법임을 확인하였다.

열음향학적 불안정성 검출에 대한 개선된 힐버트-후앙 변환의 적용 (Applications of the improved Hilbert-Huang transform method to the detection of thermo-acoustic instabilities)

  • 차지형;김영석;고상호
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2012년도 제38회 춘계학술대회논문집
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    • pp.555-561
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    • 2012
  • Empirical Mode Decomposition(EMD)을 통한 Hilbert Huang Transform(HHT)은 시간-주파수 영역분석 방법 중 하나로 기존의 다른 분석 방법에 비해 비선형, 비정상 신호를 해석 가능하다는 등 여러가지 이점이 있다. 그러나 인접한 주파수를 분별하기 힘들고 잡음에 취약하다는 결점이 있다고 알려져 있다. 본 논문에서는 HHT와 정상신호 분석에 효과적인 Short-Time Fourier Transform(STFT)을 비교하여 각 방법의 장 단점을 분석하고 Rijke 튜브 실험에서 얻은 열음향학적 불안정 데이터에 적용하여 잡음에 취약한 점을 보완한 Improved HHT와 비교한다. 그 결과, EMD를 이용한 Original HHT보다 EEMD를 이용한 Improved HHT가 잡음의 영향을 적게 받아 보다 정확한 신호분석이 가능하다는 것을 알 수 있었다.

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APPLICATION OF FFT-BASED ANALYSIS TO CONTACT CONDITION PREDICTION FOR TRIBOLOGICAL SURFACE DESIGN

  • Sung, I.H.;Lee, H.S.;Kim, D.E.
    • 한국윤활학회:학술대회논문집
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    • 한국윤활학회 2002년도 proceedings of the second asia international conference on tribology
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    • pp.255-256
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    • 2002
  • In this paper, the frictional behavior according to the contact geometry was investigated using a micro-tribotester built inside a Scanning Electron Microscope (SEM) and an Atomic Force Microscope (AFM). FFT (Fast Fourier Transform) analysis for friction was conducted as a method to interpret the contact condition. From the experimental results, it could be concluded that the relative dimensions and distribution of contact asperities on the surface could be predicted by the power spectrum and main frequency in the FFT analysis of the friction signal.

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Preparation and Characterization of Thin Films by Plasma Polymerization of Hexamethyldisiloxane

  • Lee, Sang-Hee;Lee, Duck-Chool
    • E2M - 전기 전자와 첨단 소재
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    • 제11권10호
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    • pp.66-71
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    • 1998
  • Plasma polymerized hexamethyldisiloxane (PPHMDSO) thin films were produced using an electrode capacitively coupled apparatus. Fourier transform infrared spectroscopy analysis indicated that the thin film spectra are composed not only of the corresponding monomer bands but also of several new bands. Auger electron spectroscopy analysis indicated that the permeation depth of aluminum into the films is ca. 30nm when top electrode is deposited by evaporation aluminum. The increase of relative dielectric constant and decrease of dielectric loss tangent with the discharge power is originated from high cross-link of the films.

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FFT해석을 이용한 기하학적 접촉조건에 따른 마찰거동예측 (Prediction of Frictional behavior according to geometrical contact condition using FFT-based analysis)

  • 성인하;이형석;김대은
    • 한국윤활학회:학술대회논문집
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    • 한국윤활학회 2001년도 제34회 추계학술대회 개최
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    • pp.13-18
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    • 2001
  • In this paper, FFT(Fast Fourier Transform) analysis of friction was suggested as a method to interpret the contact conditions. Micro-grooves with various dimensions were fabricated on the silicon surface to investigate the frictional behavior with respect to the change in geometrical contact condition. Frictional forces between micro-grooved surfaces and spheres modeled as surface asperities were measured using a micro-tribotester which was built inside a SEM(Scanning Electron Microscope). The experimental results show that the relative dimensions and distributions of contact asperities between two surfaces can be predicted by the power spectrum and the main frequency in FFT-based analysis of friction coefficient. Also, it was shown that the friction coefficient for multi-asperities was the result of the superposition of that for each asperity.

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