• Title/Summary/Keyword: Fourier Domain

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A Scheme for Computing Time-domain Electromagnetic Fields of a Horizontally Layered Earth (수평다층구조에 대한 시간영역 전자기장의 계산법)

  • Jang, Hangilro;Kim, Hee Joon
    • Geophysics and Geophysical Exploration
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    • v.16 no.3
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    • pp.139-144
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    • 2013
  • A computer program has been developed to estimate time-domain electromagnetic (EM) responses for a onedimensional model with multiple source and receiver dipoles that are finite in length. The time-domain solution can be obtained by applying an inverse fast Fourier transform (FFT) to frequency-domain fields for efficiency. Frequency-domain responses are first obtained for 10 logarithmically equidistant frequencies per decade, and then cubic spline interpolated to get the FFT input. In the case of phases, the phase curve must be made to be continuous prior to the spline interpolation. The spline interpolated data are convolved with a source current waveform prior to FFT. In this paper, only a step-off waveform is considered. This time-domain code is verified with an analytic solution and EM responses for a marine hydrocarbon reservoir model. Through these comparisons, we can confirm that the accuracy of the developed program is fairly high.

Time-Domain Solutions of the VV, HV, VH Problems at the Surface of a Normally Uniaxial Half-Space Dielectric (수직 단축성을 갖는 반공간 유전체 표면에서 VV, HV, VH 문제의 시간영역 해)

  • Lihh Won-Seok;Nam Sang-Wook
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.16 no.12 s.103
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    • pp.1246-1254
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    • 2005
  • Theoretical investigation is made on the electromagnetic fields generated by an impulsive point current source, fur the VV, HV, and VH problems at the interface between an isotropic upper half-space medium and a normally uniaxial lower half-space medium. The electric fields of these problems are associated only with the extraordinary-wave components in the Fourier-Laplace domain. Applying the Cagniard-de Hoop method to each problem, the time-domain solutions of the wave fields are obtained. The fields of the VV case can be expressed in explicit(integral-free) forms. The fields of the HV and VH cases are not integral-free, but the major singularities implicit in the integral solutions can be analytically extracted. The interfacial far fields in the frequency domain are determined by the singularities in the time domain.

Optical encryption and decryption technique using virtual image in frequency domain (가상 영상을 이용한 주파수 영역에서의 광학적 암호화 및 복호화 방법)

  • 서동환;조규보;박세준;김수중;김정우;노덕수
    • Korean Journal of Optics and Photonics
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    • v.14 no.3
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    • pp.255-259
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    • 2003
  • In this paper, we propose an improved image encryption and decryption method using a virtual image and a joint transform correlator (JTC). The encrypted image is obtained by the Fourier transform of the product of a virtual-phase image and a random-phase image, and a Fourier transform of the decrypting key generated by the proposed phase assignment rule is used as the Fourier decrypting key. Based on the solution, the original image is reconstructed using JTC in the frequency-domain. The proposed method using a virtual image, which does not contain any information from the original image, prevents the possibility of counterfeiting by unauthorized people. And also the auto-correlation terms, which are the drawback of a JTC system, contribute to reconstructing the original image rather than to disturbing its identification. But because phase-only encryptions are sensitive to noise and scratches, phase errors can be generated in fabricating the encrypted image or the Fourier decrypting key so the errors that are responsible for degradation of the quality of the reconstructed image are analyzed and the solution is demonstrated. Computer simulations show the solution, and the proposed method is very useful for JTC architecture.

Fluctuating wind field analysis based on random Fourier spectrum for wind induced response of high-rise structures

  • Lin, Li;Ang, A.H.S.;Xia, Dan-dan;Hu, Hai-tao;Wang, Huai-feng;He, Fu-qiang
    • Structural Engineering and Mechanics
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    • v.63 no.6
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    • pp.837-846
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    • 2017
  • An accurate calculation of the stochastic wind field is the foundation for analyzing wind-induced structure response and reliability. In this research, the spatial correlation of structural wind field was considered based on the time domain method. A method for calculating the stochastic wind field based on cross stochastic Fourier spectrum was proposed. A flowchart of the proposed methodology is also presented in this study to represent the algorithm and workflow. Along with the analysis of regional wind speed distribution, the wind speed time history sample was calculated, and the efficiency can therefore be verified. Results show that the proposed method and programs could provide an efficient simulation for the wind-induced structure response analysis, and help determine the related parameters easily.

Network Analysis and Design of Aperture-Coupled Cavity-Fed Microstrip Patch Antenna (개구면 결합 공진기 급전 마이크로스트립 패치 안테나의 회로망 해석 및 설계)

  • Shin Jong Woo;Kim Jeong Phill
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.41 no.12
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    • pp.93-102
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    • 2004
  • This paper presents a general theory for the analysis of an aperture-coupled cavity-fed microstrip patch antenna to develop a simple but accurate equivalent circuit model. The developed equivalent circuit consists of ideal transformers, admittance elements, and transmission lines. These circuit element values are computed by applying the complex power concept, the Fourier transform and series representation, and the spectral-domain immittance approach. The input impedance of the antenna is calculated and compared with the published data. Good agreements validate the simplicity and accuracy of the developed equivalent circuit model.

A Study on Optimization of Classification Performance through Fourier Transform and Image Augmentation (푸리에 변환 및 이미지 증강을 통한 분류 성능 최적화에 관한 연구)

  • Kihyun Kim;Seong-Mok Kim;Yong Soo Kim
    • Journal of Korean Society for Quality Management
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    • v.51 no.1
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    • pp.119-129
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    • 2023
  • Purpose: This study proposes a classification model for implementing condition-based maintenance (CBM) by monitoring the real-time status of a machine using acceleration sensor data collected from a vehicle. Methods: The classification model's performance was improved by applying Fourier transform to convert the acceleration sensor data from the time domain to the frequency domain. Additionally, the Generative Adversarial Network (GAN) algorithm was used to augment images and further enhance the classification model's performance. Results: Experimental results demonstrate that the GAN algorithm can effectively serve as an image augmentation technique to enhance the performance of the classification model. Consequently, the proposed approach yielded a significant improvement in the classification model's accuracy. Conclusion: While this study focused on the effectiveness of the GAN algorithm as an image augmentation method, further research is necessary to compare its performance with other image augmentation techniques. Additionally, it is essential to consider the potential for performance degradation due to class imbalance and conduct follow-up studies to address this issue.

Sub-sampling Technique to Improve the Measurement Speed of White Light Scanning Interferometry (백색광 주사 간섭계의 측정 속도 개선을 위한 서브 샘플링 기법 연구)

  • Chyun, In-Bum;Joo, Ki-Nam
    • Journal of the Korean Society for Precision Engineering
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    • v.31 no.11
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    • pp.999-1006
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    • 2014
  • In this investigation, we explain the sub-sampling technique of white light scanning interferometry (WLSI) to improve the measurement speed. In addition to the previous work using Fourier domain analysis, several methods to extract the height from the correlogram of WLSI are described with the sub-sampling technique. Especially, Fourier-inverse Fourier transformation method adopting sub-sampling technique is proposed and the phase compensation technique is verified with simulation and experiments. The main advantage of sub-sampling is to speed up the measurements of WLSI but the precision such as repeatability is slightly poor. In case of measuring the sample which has high height step or difference, the proposed technique can be widely used to reduce the measurement time.

A New NDT Technique on Tunnel Concrete Lining (터널 콘크리트 라이닝의 새로운 비파괴 검사기법)

  • 이인모;전일수;조계춘;이주공
    • Proceedings of the Korean Geotechical Society Conference
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    • 2003.03a
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    • pp.249-256
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    • 2003
  • To investigate the safety and stability of the concrete lining, numerous studies have been conducted over the years and several methods have been developed. Most signal processing method of NDT techniques has based on the Fourier analysis. However, the application of Fourier analysis to analyze recorded signal shows results only in frequency domain, it is not enough to analyze transient waves precisely. In this study, a new NDT technique .using the wavelet theory was employed for the analysis of non-stationary wave propagation induced by mechanical impact in the concrete lining. The wavelet transform of transient signals provides a method for mapping the frequency spectrum as a function of time. To verify the availability of wavelet transform as a time- frequency analysis tool, model experiments have been conducted on the concrete lining model. From this study, it was found that the contour map by Wavelet transform provides more distinct results than the power spectrum by Fourier transform and it was concluded that Wavelet transform was an effective tool for the experimental analysis of dispersive waves in concrete structures.

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Texture Feature Extractor Based on 2D Local Fourier Transform (2D 지역푸리에변환 기반 텍스쳐 특징 서술자에 관한 연구)

  • Saipullah, Khairul Muzzammil;Peng, Shao-Hu;Kim, Hyun-Soo;Kim, Deok-Hwan
    • Proceedings of the Korea Information Processing Society Conference
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    • 2009.04a
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    • pp.106-109
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    • 2009
  • Recently, image matching becomes important in Computer Aided Diagnosis (CAD) due to the huge amount of medical images. Specially, texture feature is useful in medical image matching. However, texture features such as co-occurrence matrices can't describe well the spatial distribution of gray levels of the neighborhood pixels. In this paper we propose a frequency domain-based texture feature extractor that describes the local spatial distribution for medical image retrieval. This method is based on 2D Local Discrete Fourier transform of local images. The features are extracted from local Fourier histograms that generated by four Fourier images. Experimental results using 40 classes Brodatz textures and 1 class of Emphysema CT images show that the average accuracy of retrieval is about 93%.

A Study on Frequency and Time Domain Interpretation for Safety Evaluation of old Concrete Structure (노후된 콘크리트 구조물의 안전도 평가를 위한 초음파기법의 주파수 및 시간영역 해석에 관한 연구)

  • Suh Backsoo;Sohn Kwon-Ik
    • Tunnel and Underground Space
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    • v.15 no.5 s.58
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    • pp.352-358
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    • 2005
  • For non-destructive testing of concrete structures, time and frequency domain method were applied to detect cavity in underground model and pier model. To interpret the measured data, time domain method made use of tomography which was completed with first arrivaltime and inversion method. In this steady, frequency domain method using Fourier transform was tried. Maximum frequency in the frequency domain was analyzed to calculate location of cavity.