• Title/Summary/Keyword: fourier transformation

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SH-wave propagation in a heterogeneous layer over an inhomogeneous isotropic elastic half-space

  • Kakar, Rajneesh
    • Earthquakes and Structures
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    • v.9 no.2
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    • pp.305-320
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    • 2015
  • The present paper is devoted to study SH-wave propagation in heterogeneous layer laying over an inhomogeneous isotropic elastic half-space. The dispersion relation for propagation of said waves is derived with Green's function method and Fourier transform. As a special case when the upper layer and lower half-space are homogeneous, our derived equation is in agreement with the general equation of Love wave. Numerically, it is observed that the velocity of SH-wave increases with the increase of inhomogeneity parameter.

A Study on EUROFIX Reed Solomon Code Design Using Finite Galois Field Fourier Transformation (유한체 푸리에 변환을 이용한 EUROFIX RS Code 설계에 관한 연구)

  • Kim, Min-Jee;Kim, Min-Jung;Chung, Se-Mo;Cho, Hyung-Rae
    • Journal of Navigation and Port Research
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    • v.28 no.1
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    • pp.23-29
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    • 2004
  • This paper deals with Reed-Solomon Coding for EUROFIX system EUROFIX is an integrated navigation and communication system, which combines Differential GNSS and Loran-C EUROFIX transmits DGNSS(Differential Global Navigation Satellite Systems) (data by pulse position modulation of Loran-C pulses. Loran-C system is regarded as a satellite backup system in recent. And now, it is important to detect and correct much errors in communication systems. Error corrections or correction algorithm is actively studied nowadays because of this. In this paper, we study and design encoder and decoder of Reed Solomon Code using Finite Galois Field Fourier Transformation for error corrections in EUROFIX data transmission. Through extensive simulation, the designed Reed Solomon code is shown to be effective for error correction in EUROFIX data transmission.

Tomographic Reconstruction of Asymmertic Liquid Spray from Multi-angular Scanning (다각주사법에 대한 비대칭 분무 구조의 토모그래피 재구성)

  • 이충훈;정석호
    • Transactions of the Korean Society of Automotive Engineers
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    • v.4 no.1
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    • pp.177-186
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    • 1996
  • A convolution alogorithm combined with Fourier transformation is applied to the tomographic reconstruction of the asymmetric spray structure to identify the local drop size and volume concentration. The line of sight intergrated data from Malvern particle analyzer with multiangular scanning form a basic information for the deconvolution. Linear interpolation is tested to obtain the effect of increasing number of scanning angles. This transformation method predicts well the structure of asymmetric spray. The tehnique can be extended to other line of sight combustion diagnostics.

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Characterization of Spark Signal of Electric Fire (전기 화재 요인으로서의 스파크 신호 특성 분석)

  • 김창종;노용호
    • Proceedings of the Korean Institute of IIIuminating and Electrical Installation Engineers Conference
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    • 1997.10a
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    • pp.55-59
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    • 1997
  • 전기로 인한 재해의 가장 큰 비중을 차지하는 것이 전기 화재이다. 전기화재는 점점 증가하고 있는 추세이므로 이러한 전기 화재의 징후 검출이 가능하다면 늘어만가는 전기재해의 피해를 줄일 수 있게 된다. 이러한 전기화재는 전기 설비의 누전과 합선 및 과부하로 발생하며 이러한 현상으로 스파크를 수반하게 된다. 따라서 이러한 스파크 신호의 특성을 분석하여 전기설비의 이상현상 검출을 통하여 전기화재의 징후를 검출할 수 있게 되는 것이다. 본 논문에서는 FFT(Fast Fourier Transformation)와 DWT(Digital Wavelet Transformation) 을 이용하여 전기화재 요인으로서의 스파크 신호 특성을 분석 방법을 제시하였다.

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Extraction of a Distance Parameter in Optical Scanning Holography Using Axis Transformation

  • Kim, Tae-Geun;Kim, You-Seok
    • Journal of the Optical Society of Korea
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    • v.14 no.2
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    • pp.104-108
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    • 2010
  • We proposed an axis transformation technique which reveals a distance parameter directly from optical scanning holography (OSH). After synthesis of a real-only spectrum hologram and power fringe adjusted filtering, we transform an original frequency axis to a new frequency axis using interpolation. In the new frequency axis, the filtered hologram has a single frequency which is linearly proportional to the distance parameter. Thus, the inverse Fourier transformation of the filtered hologram gives a delta function pair in the new spatial axis. Finally, we extract the distance parameter by detecting the location of the delta function pair.

Three Dimensional Calculation of Capacitance for VLSI Interconnection Line (VLSI 전송선로에서의 커패시턴스의 3차원 계산)

  • 김한구;곽계달
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.29A no.7
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    • pp.64-72
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    • 1992
  • The capacitance for three-dimensional (3D) VLSI interconnection line is calculated. Capacitance is obtained by solving integral equation that is the product of Green's function and surface charge density. Surface charge density is assumed that constant in each subarea, and subarea is devided by rectangular size in interconnetion surfaces. Up to date, so this integral method using Green's function is calculated by Fourier integral transformation, that it cannot help making an error. In this paper, it is proposed to use direct integration instead of Fourier integral method. And we proved accuracy of this paper in comparision with conventional results.

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Circular Fast Fourier Transform Application: A Useful Script for Fast Fourier Transform Data Analysis of High-resolution Transmission Electron Microscopy Image

  • Kim, Jin-Gyu;Yoo, Seung Jo;Kim, Chang-Yeon;Jou, Hyeong-Tae
    • Applied Microscopy
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    • v.44 no.4
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    • pp.138-143
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    • 2014
  • Transmission electron microscope (TEM) is an excellent tool for studying the structure and properties of nanostructured materials. As the development of $C_s$-corrected TEM, the direct analysis of atomic structures of nanostructured materials can be performed in the high-resolution transmission electron microscopy (HRTEM). Especially, fast Fourier transform (FFT) technique in image processing is very useful way to determine the crystal structure of HRTEM images in reciprocal space. To apply FFT technique in HRTEM analysis in more reasonable and friendly manner, we made a new circular region of interest (C-ROI) FFT script and tested it for several HRTEM analysis. Consequentially, it was proved that the new FFT application shows more quantitative and clearer results than conventional FFT script by removing the streaky artifacts in FFT pattern images. Finally, it is expected that the new FFT script gives great advantages for quantitative interpretation of HRTEM images of many nanostructured materials.