• 한국수학교육학회지시리즈D:수학교육연구
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• 제13권2호
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• pp.103-108
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• 2009

We present the thoughts behind a course combining the subjects of differential equations and infinite series. The key point is how to connect the two topics in a course with a natural flow.

• Nuclear Engineering and Technology
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• 제25권1호
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• pp.148-153
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• 1993

노내계측기 신호로부터 노심평균 축방향 출력분포를 얻기위해 5차의 Fourier series 합성법이 노심감시계통 (COLSS)에 이용되고 있다. 이 방법은 단순하고 계산이 빠르기 때문에 실시간 계산에 이용된다. 이러한 합성법은 Fourier series 차수 및 축방향 경계조건에 따라 정확도가 달라진다. 노심감시계통에서는 현재 축방향으로 5개의 고정 노내계측기를 이용하고 있으므로 5차의 Fourier series 합성법을 적용하고 있다. 따라서 축방향 경계조건은 노심감시계통의 계산결과에 미치는 영향을 평가하여 적절히 결정되어야 한다. 본 논문에서는 영광 3,4호기를 대상으로 4가지의 축방향 경계조건 (axial buckling=0.75, 0.8, 0.9와 1.0)을 살펴보았다. 최적의 축방향 경계조건을 결정하기 위해 노심평균 축방향 출력분포와 운전여유도를 각 경우에 대해 비교하였다. 비교결과 최적의 축방향 경계조건은 axial buckling이 0.9인 것을 알 수 있었다.

• 대한전기학회논문지:전력기술부문A
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• 제55권7호
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• pp.265-272
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• 2006

This paper describes a method of parameter estimation of time series data using discrete Fourier transform(DFT). DFT have been mainly used to precisely and rapidly obtain the frequency of a signal. In a dynamic system, a real part of a mode used to learn damping characteristics is a more important factor than the frequency of the mode. The parameter estimation method of this paper can directly estimate modes and parameters, indicating the characteristics of a dynamic system, on the basis of the Fourier transform of the time series data. Real part of a mode estimates by subtracting a frequency of the Fourier spectrum corresponding to 0.707 of a magnitude of the peak spectrum from a peak frequency, or subtracting a frequency of the power spectrum corresponding to 0.5 of the peak power spectrum from a peak frequency, or comparing the Fourier(power) spectrum ratio. Also, the residue and phase of time signal calculate by simple equation with the real part of the mode and the power spectrum that have been calculated. Accordingly, the proposed algorithm is advantageous in that it can estimate parameters of the system through a single DFT without repeatedly calculating a DFT, thus shortening the time required to estimate the parameters.

• Journal of Astronomy and Space Sciences
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• 제28권1호
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• pp.71-77
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• 2011

Ionospheric error modeling is necessary to create reliable global navigation satellite system (GNSS) signals using a GNSS simulator. In this paper we developed algorithms to generate Klobuchar coefficients ${\alpha}_n$, ${\beta}_n$ (n = 1, 2, 3, 4) for a GNSS simulator and verified accuracy of the algorithm. The eight Klobuchar coefficients were extracted from three years of global positioning system broadcast (BRDC) messages provided by International GNSS service from 2006 through 2008 and were fitted with Fourier series. The generated coefficients from our developed algorithms are referred to as Fourier Klobuchar model (FOKM) coefficients, while those coefficients from BRDC massages are named as BRDC coefficients. The correlation coefficient values between FOKM and BRDC were higher than 0.97. We estimated total electron content using the Klobuchar model with FOKM coefficients and compared the result with that from the BRDC model. As a result, the maximum root mean square was 1.6 total electron content unit.

• 대한수학회보
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• 제44권2호
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• pp.351-358
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• 2007

For an entire function f whose Fourier transform has a compact support confined to $[-{\pi},\;{\pi}]$ and restriction to ${\mathbb{R}}$ belongs to $L^2{\mathbb{R}}$, we derive a nonuniform sampling theorem of Lagrange interpolation type with sampling points ${\lambda}_n{\in}{\mathbb{R}},\;n{\in}{\mathbb{Z}}$, under the condition that $$\frac{lim\;sup}{n{\rightarrow}{\infty}}|{\lambda}_n-n|<\frac {1}{4}$.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 1996년도 추계학술대회 논문집
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• pp.406-412
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• 1996

Optimal trajectory for a robot manipulator minimizing actuator torques or energy consumption in a fixed traveling time is obtained in the presence of obstacles. All joint displacements are represented in finite terms of Fourier cosine series and the coefficients of the series are obtained optimally by nonlinear programming. Thus, the geometric path need not be prespecified and the full dynamic model is employed. To avoid the obstacles, the concept of penalty area is newly introduced and this penalty area is included in the performance index with an appropriate weighting coefficient. This optimal trajectory will be useful as a geometric path in the minimum-time trajectory planning problem.

• 한국컴퓨터정보학회논문지
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• 제28권4호
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• pp.1-11
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• 2023

본 논문은 순환 신경망 대신 합성곱 신경망을 사용하여 시계열 데이터 분류 성능을 분석한다. TSC(Time Series Community)에는 GAF(Gramian Angular Field), MTF(Markov Transition Field), RP(Recurrence Plot)와 같은 전통적인 시계열 데이터 이미지화 알고리즘들이 있다. 실험은 이미지화 알고리즘들에 필요한 하이퍼 파라미터들을 조정하면서 합성곱 신경망의 성능을 평가하는 방식으로 진행된다. UCR 아카이브의 GunPoint 데이터셋을 기준으로 성능을 평가했을 때, 본 논문에서 제안하는 STFT(Short Time Fourier Transform) 알고리즘이 최적화된 하이퍼 파라미터를 찾은 경우, 기존의 알고리즘들 대비 정확도가 높고, 동적으로 feature map 이미지의 크기도 조절가능하다는 장점이 있다. GAF 또한 98~99%의 높은 정확도를 보이지만, feature map 이미지의 크기를 동적으로 조절할 수 없어 크다는 단점이 존재한다.

• Journal of Magnetics
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• 제18권2호
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• pp.130-134
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• 2013

Most electrical machines like motor, generator and transformer are symmetric in terms of magnetic field distribution and mechanical structure. In order to analyze these problems effectively, many coupling techniques have been introduced. This paper deals with a coupling scheme for open boundary problem of symmetric and periodic structure. It couples an analytical solution of Fourier series expansion with the standard finite element method. The analytical solution is derived for the magnetic field in the outside of the boundary, and the finite element method is for the magnetic field in the inside with source current and magnetic materials. The main advantage of the proposed method is that it retains sparsity and symmetry of system matrix like the standard FEM and it can also be easily applied to symmetric and periodic problems. Also, unknowns of finite elements at the boundary are coupled with Fourier series coefficients. The boundary conditions are used to derive a coupled system equation expressed in matrix form. The proposed algorithm is validated using a test model of a bush bar for the power supply. And the each result is compared with analytical solution respectively.

• 한국구조물진단유지관리공학회 논문집
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• 제13권5호통권57호
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• pp.93-100
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• 2009

이 논문은 나노물질이 결합된 시간반사영역기(TDR)의 보의 변형에 관한 실험자료와 기존 구조 해석기법에 따른 변형간의 상관관계를 평가하기 위한 것이다. TDR의 동축케이블에 일정한 간격마다 나노물질 ($BaTiO_3$ powders and silver mixture)을 결합하여 토목구조물에 설치할 수 있도록 하였다. 실험결과,나노물질은 보에 설치된 동축케이블의 정확한 위치정보를 알려주었으며, TDR센서시스템과 Fourier series 를 활용하여 필터링 된 실험 자료는 보의 변형을 정확하게 알려주었다. 그러므로, 나노-TDR시스템과 Fourier filter를 활용하여 보의 변형에 관한 정확한 모니터링이 가능하였으며, 변형에 관한 보다 나은 해석이 가능하다는 점에서 기존의 TDR센서 혹은 광섬유 센서보다 진보한 시스템이라 할 수 있다.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1998년도 하계학술대회 논문집 A
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• pp.64-66
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• 1998

This paper presents a new efficient method for transient analysis in magnetodynamic systems of linear eddy current problems. This mehtod employs the Fourier transform and the high-order frequency sensitivity of harmonic finite element method. By taking into account the time-constant of magnetodynamic system, the Fourier integral of continuous frequency is converted into the Fourier series of discrete frequency. And with the results of Fourier series expansion of converted input wave form, the responses of each sinusoids is superposed to give the total response of the magnetodynamic systems. But, if the frequency band of input wave form is broad, it takes long computational time since all responses for each sinusoids must be calculated. Therefore, the high-order frequency sensitivity method is employed to estimate the response variation to frequency. The proposed algorithm is applied to an induction heating system to validate its numerical efficiency.