• Journal of Korean Tunnelling and Underground Space Association
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• v.5 no.1
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• pp.13-21
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• 2003

To investigate the safety and stability of a concrete lining, numerous studies have been conducted over the years and several methods have been developed. Most signal processing techniques of NDT have been based on Fourier analysis. However, the application of Fourier analysis to analyze recorded vibrational signal shows results in the frequency domain only, and it is not enough to analyze transient waves precisely. In this study, Wavelet theory was employed for the analysis of non-stationary wave induced by mechanical impact on tunnel 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 and the thickness of the concrete lining was estimated based on the proposed theory. 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 also found that Wavelet transform was also an effective tool for the analysis of dispersive waves in tunnel concrete linings.

• Proceedings of the KIEE Conference
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• 2008.07a
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• pp.217-218
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• 2008

이 논문은 이산신호에 고속푸리에 변환을 적용하여 신호에 포함되어 있는 저주파수의 진동 파라미터를 추정하는 새로운 방법에 대해서 기술하고 있다. 제안한 방법은 지수감쇠 정현파함수의 푸리에 변환에 기초를 두고 푸리에스펙트럼으로부터 직접 파라미터를 추정하는 방법이다. 푸리에스펙트럼의 첨두치와 첨두주파수 사이에 일정한 수학적 관계에서 모드를 추정하고 추정한 모드를 이용하여 모드의 크기와 위상을 추정하는 방법을 제안하고 있다. 이 논문에서 제안한 파라미터 추정방법은 수식에 기반을 둔 매우 단순한 알고리즘으로 계산속도가 매우 빠르고 작은 기억장소를 필요로 하므로 DSP 수준의 실시간 연산에 매우 적합한 알고리즘이다. 제안한 알고리즘을 간단한 시험함수에 적용한 결과, 정확하게 파라미터를 추정하여 알고리즘의 정확성을 검증하였다.

• Geophysics and Geophysical Exploration
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• v.15 no.4
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• pp.245-248
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• 2012

Two dimensional Fourier transform can be used for the upward continuation of gravity or magnetic field data acquired at given altitude over a rectangular area. Earth's curvature is often neglected in most potential field continuations, however, it should be considered over several hundred kilometer field area. In this study, we developed a new method retaining terms of Earth's curvature to better perform the continuation of potential field on spherical patch area.

• Korean Journal of Optics and Photonics
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• v.4 no.4
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• pp.390-396
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• 1993

When a one-dimensional telecentric paraxial holographic kinoform is used as a Fourier transform lens, we analyzed three surface-relief structures, i.e., plano-convex, convex-plano and biconvex shapes, employing exact raytracing method based on Snell's law. For the kinoform of E/8 and focal length of 15 mm, the number of zones, the thickness, and the slope of parabolic surfaces are varied by changing the refractive indicies of kinoform material and surrounding medium. It is found that biconvex shape gives the best results in general, although off-axis performance degrades in all cases as the slope of parabolic surfaces increases.

• Korean Journal of Optics and Photonics
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• v.24 no.6
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• pp.324-330
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• 2013

Phase-measuring deflectometry is a full-field gradient measuring technique that lends itself very well to testing specular optical surfaces. We have measured deformation of a large specular surface by deflectometry. In this work, we have used a Fourier-transform method to get the phase from a measured deformed fringe pattern, and we have used least squares method to obtain the height information of the specular surface from the calculated slope. Experimentally, we have confirmed that deflectometry can be used for deformation measurement of a specular surface like that of a wafer.

• Proceedings of the Acoustical Society of Korea Conference
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• autumn
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• pp.425-428
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• 2004

본 논문에서는 시간영역에서 해양 음 전달 해석을 위해 엇갈림 격자에서 유사 스펙트럴 알고리듬을 기반으로 한 전산조직을 개발하였다. 유사 스펙트럴 방법은 파수 영역에서 파수에 음압의 푸리에 변환을 곱한 후 이를 역 푸리에 변환함으로서 공간 도함수를 구하는 방법이다. 유사 스펙트럴 방법은 빠른 푸리에 변환법의 사용으로 계산속도가 빠르며, 엇갈림 격자에서 이 방법을 사용하면 음 전달 현상을 정확하고 안정되게 모사할 수 있다. 무한 및 반무한 영역에서 이 알고리듬에 의한 결과가 해석해와 잘 일치함을 확인하였고, 다양한 해양환경에서 시간영역 모델링을 수행하여 스냅사진을 얻어내었으며 이 스냅사진을 통해 복잡한 해양환경에서 신호의 전파 현상을 파악할 수 있었다.

• Korean Journal of Optics and Photonics
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• v.8 no.2
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• pp.154-160
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• 1997

On the base of the fractional Fourier transform(FRT) which is known as a generalized form of the conventional Fourier transform, the fractional correlation has been implemented. Shift-variance property of the fraction correlation has been evaluated and compared with the shift-invariance of the conventional correlation. The fractional correlation operation has been implemented by using a planar optics configuration which integrates all of the optical components on a single glass substrate. A good agreement between the experimental and calculated results has been obtained.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2016.05a
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• pp.762-763
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• 2016

In realizing a homomorphic encryption system, the operations of encrypt, decypt, and recrypt constitute major portions. The most important common operation for each back-bone operations include a polynomial modulo multiplication for over million-bit integers, which can be obtained by performing integer Fourier transform, also known as number theoretic transform. In this paper, we adopt and modify an algorithm for calculating big integer multiplications introduced by Schonhage-Strassen to propose an efficient algorithm which can save memory. The proposed architecture of number theoretic transform has been implemented on an FPGA and evaluated.

• Journal of the Korean Magnetics Society
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• v.22 no.2
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• pp.33-36
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• 2012

We propose a simple prescription for resolving the general-$N$ problem existing in the old-fashioned mixed-radix fast Fourier transformation FORTRAN subroutine by Singleton in 1968. After a brief investigation on the problem, we discuss our prescription with the worst case analysis within the dynamical allocation. The analysis reveals that our implementation is superior, at least for multi-variate data set, than previously proposed data copying methods.

• Korean Journal of Optics and Photonics
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• v.8 no.3
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• pp.199-203
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• 1997

Fine displacement of spherical suface was detected and analyzed by Twyman-Green interferometer and the interferogram analysis using Fourier transform method. The surface profile was obtained from single interferogram by introducing the carrier freguency to the interferogram. The interferogram was processed in the spatial frequency domain by fast Fourier transform, and the phase distribution was obtained by inverse Fourier transform. The 3-dimensional distribution for the surface displacement was obtained. It was compared with the calculated surface displacement and the error was less than λ/10.