• 한국정보디스플레이학회:학술대회논문집
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• 한국정보디스플레이학회 2003년도 International Meeting on Information Display
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• pp.437-440
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• 2003

Computer-generated holograms of real existing are synthesized by using a series of projection images of an incoherently illuminated object. The principle of computer tomography is applied to obtain the 3-D Fourier spectrum of the object. A Fresnel hologram is calculated directly from the 3-D Fourier spectrum. Experimental results with simulation are presented and some optical properties of reconstructed images are discussed.

• 한국해안·해양공학회논문집
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• 제20권6호
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• pp.583-588
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• 2008

2008년 2월에 동해안에서 발생하였던 너울 관측 자료에 대하여 웨이블릿 방법을 사용하여 분석하였다. 시간에 따른 파군, 첨두 주파수 및 스펙트럼의 변화를 볼 수 있었으며 그 결과를 시간에 따라 평균하여 푸리에 스펙트럼과 비교한 결과 시간에 따른 형태나 첨두 주기의 변화는 유사하게 나왔으나 첨두 주파수 에너지와 유의 파고에 있어서는 차이를 나타냈다. 웨이블릿 분석 방법은 주파수 뿐 만 아니라 시간에 따른 스펙트럼의 변화를 볼 수 있어서 이상 파랑이나 갑작스러운 너울과 같은 일시적이고 불규칙적인 현상 연구에 효과적 것인으로 보이며 향후 우리나라 파랑 자료에 대한 많은 적용과 분석 연구가 필요하다.

• Korean Journal of Mathematics
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• 제17권4호
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• pp.399-409
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• 2009

We study the weak convergence of various models to Fractional Brownian motion. First, we consider arima process and ON/OFF source model which allows for long packet trains and long inter-train distances. Finally, we figure out power spectrum density as a Fourier transform of autocorrelation function of arima model and binary signal model.

• 한국광학회지
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• 제6권3호
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• pp.245-256
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• 1995

Fourier 면환을 이용하여 불균일 굴절률 박막의 rugate 필터를 설계하였으며 rugate 필터의 반사율, 대역폭, 광학 두께, Q 함수 등을 변화시키며 Fourier 변환의 여러 가지 특성을 조사하였다. 주어진 단선 및 이중 rugate 필터의 과녁 스펙트럼에 불균일 굴절률 박막의 스펙트럼을 맞추기 위하여 merit 함수를 사용하였으며 merit 값이 최소가 되도록 Q 함수를 반복계산하여 수정하였다. Sossi, Bovard, Fabricius가 각각 유도한 세 종류의 Q함수를 반복계산 횟수, merit 함수의 값, 최적 광학두께 등의 관점에서 비교하였다. 반사율이 높은 rugate 필터 설계에는 반복계산 수정 후 반사율이 과녁스펙트럼에 가까운 Bovard와 Fabricius의 Q함수가 적당하며, 광학 두께는 최소 광학두께만 넘으면 반복계산 수정과정을 이용하여 과녁반사율을 맞출 수 있으므로 반사대역폭이 허용하는 광학두께로 결정하면 될 것이다.

• Structural Engineering and Mechanics
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• 제63권6호
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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.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 1998년도 가을 학술발표회 논문집
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• pp.439-446
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• 1998

One of the most important roles in the nonlinear dynamic structural analysis is to select a proper ground excitation, which dominates the response of a structure. Because of the lack of recorded accelerograms in Korea, a stochastic model of ground excitation with various dynamic properties rather than recorded accelerograms is necessarily required. If all information is not available at site, the information from other sites with similar features can be used by the procedure of seismic hazard analysis. Eliopoulos and Wen identified the parameters of the ground motion model by the empirical relations or expressions developed by Trifunac and Lee. Because the relations used in the parameter identification are largely empirical, it is required to apply the artificial neural networks instead of the empirical model. Additionally, neural networks have the advantage of the empirical model that it can continuously re-train the new recorded data, so that it can adapt to the change of the enormous data. Based on the redefined traditional processes, three neural-networks-based models (FAS_NN, PSD_NN and INT_NN) are proposed to individually substitute the Fourier amplitude spectrum, the parameter identification of power spectral density function and intensity function. The paper describes the first half of the research for the development of Neural-Networks-based model for the generation of an Artificial earthquake and a Response Spectrum(NNARS).

• 한국음향학회지
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• 제22권5호
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• pp.345-350
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• 2003

음향 인텐시티는 근접한 두 개의 마이크로폰으로부터 얻어지는 음압의 크로스스펙트럼으로부터 얻어진다. 크로스스펙트럼은 이산 푸리에 변환에 의해 얻어지는데 이는 기록시간과 신호의 주기가 일반적으로 일치하지 않기 때문에 누설오차의 발생을 피할 수 없다. 그러므로 기존의 FFT 해석기로부터 얻어지는 음향 인텐시티는 왜곡된 값을 보여준다. 본 논문에서는 단일주파수를 가지는 조화 신호에 누설오차가 발생한 경우 푸리에 변환된 데이터를 규정한다. 또한 왜곡된 데이터로부터 누설오차의 영향을 제거하는 방법을 제안한다. 제안한 방법의 타당성을 보이기 위해 몇 가지 수치해석 예를 보인다.

• Structural Engineering and Mechanics
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• 제75권4호
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• pp.425-434
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• 2020

Practical non-synoptic fluctuating wind often exhibits nonstationary features and should be modeled as nonstationary random processes. Generally, the coherence function of the fluctuating wind field has time-varying characteristics. Some studies have shown that there is a big difference between the fluctuating wind field of the coherent function model with and without time variability. Therefore, it is of significance to simulate nonstationary fluctuating wind field with time-varying coherent function. However, current studies on the numerical simulation of nonstationary fluctuating wind field with time-varying coherence are very limited, and the proposed approaches are usually based on the traditional spectral representation method with low simulation efficiency. Especially, for the simulation of multi-variable wind field of large span structures such as transmission tower-line, not only the simulation is inefficient but also the matrix decomposition may have singularity problem. In this paper, it is proposed to conduct the numerical simulation of nonstationary fluctuating wind field in one-spatial dimension with time-varying coherence based on the wavenumber-frequency spectrum. The simulated multivariable nonstationary wind field with time-varying coherence is transformed into one-dimensional nonstationary random waves in the simulated spatial domain, and the simulation by wavenumber frequency spectrum is derived. So, the proposed simulation method can avoid the complicated Cholesky decomposition. Then, the proper orthogonal decomposition is employed to decompose the time-space dependent evolutionary power spectral density and the Fourier transform of time-varying coherent function, simultaneously, so that the two-dimensional Fast Fourier transform can be applied to further improve the simulation efficiency. Finally, the proposed method is applied to simulate the longitudinal nonstationary fluctuating wind velocity field along the transmission line to illustrate its performances.

• 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.

• Geomechanics and Engineering
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• 제7권2호
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• pp.149-164
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• 2014

One of the most advanced classes of techniques for ground response analysis is based on the use of Transfer Functions. They represent the ratio of Fourier spectrum of amplitude motion at the free surface to the corresponding spectrum of the bedrock motion and they are applied in frequency domain usually by FFT method. However, Fourier spectrum only shows the dominant frequency in each time step and is unable to represent all frequency contents in every time step and this drawback leads to inaccurate results. In this research, this process is optimized by decomposing the input motion into different frequency sub-bands using Wavelet Multi-level Decomposition. Each component is then processed with transfer Function relating to the corresponding component frequency. Taking inverse FFT from all components, the ground motion can be recovered by summing up the results. The nonlinear behavior is approximated using an iterative procedure with nonlinear soil properties. The results of this procedure show better accuracy with respect to field observations than does the Conventional method. The proposed method can also be applied to other engineering disciplines with similar procedure.