• 대한기계학회논문집A
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• 제25권8호
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• pp.1253-1260
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• 2001

Transient thermal analysis of a three-dimensional axisymmetric automotive disk brake is presented in this paper. Temperature fields are obtained using a hybrid FFT-FEM scheme that combines Fourier transform techniques and finite element method. The use of a fast Fourier transform algorithm can avoid singularity problems and lead to inexpensive computing time. The transformed problem is solved with finite element scheme for each frequency domain. Inverse transforms are then performed for time domain solution. Numerical examples are presented for validation tests. Comparisons with analytical results show very good agreement. Also, a 3-D simulation, based upon an automotive brake disk model is performed.

• Structural Engineering and Mechanics
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• 제8권4호
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• pp.343-360
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• 1999

This work applies a structural analysis method based on an analytical solution from the Fourier series which transforms a half-range cosine expansion into a static solution involving plated structures. Two sub-matrices of in-plane and plate-bending problems are also formulated and coupled with the prescribed boundary conditions for these variables, thereby providing a convenient basis for a numerical solution. In addition, the plate connection are introduced by describing the connection between common boundary continuity and equilibrium. Moreover, a simple computation scheme is proposed. Numerical results are then compared with finite element results, demonstrating the numerical scheme's versatility and accuracy.

• 한국소음진동공학회논문집
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• 제15권3호
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• pp.266-271
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• 2005

Although time-frequency analysis is useful for dispersive wave analysis, conventional methods such as the short-time Fourier transform do not take the dispersion phenomenon into consideration in the tiling of the time-frequency domain. The objective of this paper is to develop an adaptive time-frequency analysis method whose time-frequency tiling is determined with the consideration of signal dispersion characteristics. To achieve the adaptive time-frequency tiling, each of time-frequency atoms is rotated in the time-frequency plane depending on the local wave dispersion. To carry out this adaptive time-frequency transform, dispersion characteristics hidden in a signal are first estimated by an iterative scheme. To examine the effectiveness of the present method, the flexural wave signals measured in a plate were analyzed.

• Journal of Mechanical Science and Technology
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• 제19권spc1호
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• pp.452-460
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• 2005

Based on an introduced optimal trajectory planning method, this paper mainly deals with the accuracy analysis during the function approximation process of the optimal trajectory planning method. The basis functions are composed of Hermit polynomials and Fourier series to improve the approximation accuracy. Since the approximation accuracy is affected by the given orders of each basis function, the accuracy of the optimal solution is examined by changing the combinations of the orders of Hermit polynomials and Fourier series as the approximation basis functions. As a result, it is found that the proper approximation basis functions are the $5^{th}$ order Hermit polynomials and the $7^{th}-10^{th}$ order of Fourier series.

• 한국음향학회:학술대회논문집
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• 한국음향학회 2002년도 하계학술발표대회 논문집 제21권 1호
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• pp.195-198
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• 2002

This paper presents an improved MELP Coder using Fourier magnitude compensation method chosen the new 2.4 kbit/s U.S. federal Standard. Although the MELP is quite good, it has some distortion for low-pitch male speakers. An improved MELP coder includes a post processing for the fourier magnitude model that allows the MELP to reconstruct the lower frequency spectrum more accurately and improve the speech quality. In this new compensation algorithm, the harmonic magnitudes in the low frequencies are adaptively modified by removing the effect of the two filters. Also, the bit rate of the improved MELP coder is the same as that of the Federal Standard MELP coder. formal quality tests show that the improved MELP coder was preferred over the Federal Standard MELP coder by $80.8\%$.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2004년도 추계학술대회논문집
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• pp.606-610
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• 2004

Although time-frequency analysis is useful for dispersive wave analysis, conventional methods such as the short-time Fourier transform do not take the dispersion phenomenon into consideration in the tiling of the time-frequency domain. The objective of this paper is to develop an adaptive time-frequency analysis method whose time-frequency tiling is determined with the consideration of signal dispersion characteristics. To achieve the adaptive time-frequency tiling, each of time-frequency atoms is rotated in the time-frequency plane depending on the local wave dispersion. To carry out this adaptive time-frequency transform, dispersion characteristics hidden in a signal are first estimated by an iterative scheme. To examine the effectiveness of the proposed method, the flexural wave signals measured in a plate were analyzed.

• 한국광학회지
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• 제3권1호
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• pp.20-26
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• 1992

Twyman-Green형 간섭계의 시험파면의 변형을 추출하기 위하여 fourier변환을 이용하는 방법을 모사실험과 실험을 통하여 검토하였다. 대상 방법중에서는 Takeda의 방법이 변형을 추출하는 용도로 적절함이 밝혀졌다. 이 방법을 평면경에 적용하여 얻은 표면의 구조에는 curvature가 존재하며, 그 크기는 $\lambda$/6정도였다. 이 축정의 정확도는 $\lambda$/40정도로 얻어져, 기 발표된 유사연구의 결과보다 그 정도가 높음을 확인하였다.

• 한국광학회지
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• 제12권4호
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• pp.339-344
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• 2001

특히 디스크형 기록 매질에 홀로그래픽 데이터를 저장함에 있어서 뒤틀린 니매틱 액정디스플레이를 사용하여 세기와 위상을 동시에 변조하는 이진 데이터 표현 방법을 제안한다. 세기 변조만을 생각하면 제안한 방법을 이진 비트 값 0과 1이 액정디스플레이 픽셀의 어둡고(off) 밝은(on) 상태로 (또는 그 반대로) 각각 표현되기 때문에 기존의 방법과는 다르지 않다. 그러나 제안한 방법에서는 on 픽셀을 통과하는 빔들이 두 가지의 서로 다른 위상 지연을 가지도록 제어된다. 만약 이 두 종류의 빔들 간의 위상지연 차이가 180도에 가까우면 Fourier 면 홀로그램 기록 시 기록 면에서 데이터 영상의 dc 성분을 감소시킬 수 있으며 따라서 빔 세기분포를 향상 시킬 수 있다. 그리고 제안한 방법의 유용성을 실험적으로도 입증하였다.

• 정보처리학회논문지A
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• 제14A권1호
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• pp.73-76
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• 2007

단위원의 내부로부터 Jordan 영역으로의 등각사상을 구하는 것은 일반적으로 비선형방정식인 Theodorsen 방정식을 푸는 것으로 귀결된다. 저자는 이 비선형 방정식의 수치적 해법 중 가장 효율적인 방법으로 알려진 Wegmann의 해법에 저주파 필터를 적용하여 개선하고 새로운 산법의 수렴성을 이론적으로 증명한 바 있다[1, 2]. 또한 이 해법에 있어 참값을 모르더라도 오차평가가 가능한 방법을 제안하였다[3]. 본 논문에서는 참값을 모르더라도 오차평가가 가능한 연구결과를 이용하여 주어진 문제영역과 허용오차에 따라 자동으로 수치등각사상이 결정되는 알고리즘을 제안한다. 이 알고리즘에서는 지금까지 경험에 의존했었던 표본수와 저주파 필터 파라메터가 주어진 문제영역에 따라 자동으로 결정된다. 이것은 문제의 난이도가 문제영역의 변형에 의존한다는 전제로 문제영역의 모양을 결정하는 함수를 Fourier 급수로 전개, 분석하여 얻을 수 있다. 수치실험을 통해 그 유효성을 입증한다.

• 한국정밀공학회지
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• 제31권11호
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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.