• Title/Summary/Keyword: Fourier index

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Harmonic Analysis of a Modular Multilevel Converter Using Double Fourier Series

  • Quach, Ngoc-Thinh;Chae, Sang Heon;Ahn, Jin Hong;Kim, Eel-Hwan
    • Journal of Electrical Engineering and Technology
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    • v.13 no.1
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    • pp.298-306
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    • 2018
  • This paper presents a harmonic analysis of the modular multilevel converter (MMC) using a double Fourier series (DFS) algorithm. First, the application of DFS for harmonic calculation in the MMC is made by considering the effect of arm inductor. The analytical results are then confirmed by comparing with the simulation results of using the fast Fourier transform (FFT) algorithm. Finally, distribution of harmonics and total harmonic distortion (THD) in the MMC will be analyzed in three cases: harmonics versus number of levels of MMC, harmonics versus total switching frequency and harmonics versus modulation index. The simulation results are performed in the PSCAD/EMTDC simulation program in order to verify the analytical results obtained by Matlab programming.

A Study on the Determination of Mode Coupling Coefficient in Graded-Index Optical Fiber (Graded Index 광섬유의 Mode Coupling Coefficient 결정에 관한 연구)

  • 이호준;김병찬
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.13 no.2
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    • pp.149-159
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    • 1988
  • In this paper, the Fourier Transform is employed to solve the coupled differential equations of modal power and three equations of the mode coupling coeficient are dierived using the phasor form trial soluation. The theory of the mode coupling coefficient contains a few theories proposed by earlier authers. Also it is seen that in case the optical source is modulated by a sinusoidal function, this theory is applied as well. In experiment, the mode coupling coefficient is determinded for a multimode graded-index fiber by using the optical source, which modulated by a sinusoidal function.

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The study of SiON thin film for optical properties. (SiON 박막의 광학적 특성에 대한 연구)

  • Kim, D.H.;Im, K.J.;Kim, K.H.;Kim, H.S.;Sung, M.Y.
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2001.11b
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    • pp.247-250
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    • 2001
  • We studied optical properties of SiON thin-film in the applications of optical waveguide. SiON thin-film was grown in $300^{\circ}C$ by PECVD(plasma enhanced chemical vapor deposition) system. The change of SiON thin-film composition and refractive Index was studied as a function of varying $NH_3$ gas flow rate. As $NH_3$ gas flow rate was increased, Quantity of N and refractive index were increased at the same time. By the results, we could form the SiON thin-film to use of a waveguide with refractive index of 1.6. We analyzed the conditions of the thin-film with FTIR(fourier transform infrared) and OES (optical emission spectroscopy). N-H bonding($3390cm^{-1}$ ) can be removed by thermal annealing. And we could observe the SiH bonding state and quantity by OES analysis in $SiH_4$

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Multipliers in the fourier transform of distributions of rapid growth

  • Dae Hyeon Pahk;Byung Keun Sohn;Sun Woo Im
    • Communications of the Korean Mathematical Society
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    • v.12 no.1
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    • pp.59-67
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    • 1997
  • Let $K'_M$ be the space of distributions on $R^m$ which grow no faster than $e^{M(kx)}$ for some k > 0 and an index function M(x) and $K'_M$ be the Fourier transform of $K'_M$. We establish the characterizations of the space $O_M(K'_m;K'_M)$ of multipliers in $K'_M$.

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Evaluation of Apple Freshness by Characterizing Surface Texture of Cells (세포 표면 특성을 이용한 사과 신선도 평가)

  • 조용진
    • Journal of Biosystems Engineering
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    • v.22 no.4
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    • pp.433-438
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    • 1997
  • The freshness of apple was evaluated by characterizing the surface texture of flesh cells. The freshness index which was related to the amount of wrinkles on the cell surface was defined to quantify the freshness. Four parameters relevant to the amount of the cell wrinkles were selected and measured using image analysis including wrinkle extraction procedure and Fast Fourier Transform of a wrinkle-extracted image. Out of 4 parameters, three parameters had highly significant correlations with the time elapsed after harvest. But it was concluded that two parameters out of such 3 parameters could be used for description of freshness index.

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BSR (Buzz, Squeak, Rattle) noise classification based on convolutional neural network with short-time Fourier transform noise-map (Short-time Fourier transform 소음맵을 이용한 컨볼루션 기반 BSR (Buzz, Squeak, Rattle) 소음 분류)

  • Bu, Seok-Jun;Moon, Se-Min;Cho, Sung-Bae
    • The Journal of the Acoustical Society of Korea
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    • v.37 no.4
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    • pp.256-261
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    • 2018
  • There are three types of noise generated inside the vehicle: BSR (Buzz, Squeak, Rattle). In this paper, we propose a classifier that automatically classifies automotive BSR noise by using features extracted from deep convolutional neural networks. In the preprocessing process, the features of above three noises are represented as noise-map using STFT (Short-time Fourier Transform) algorithm. In order to cope with the problem that the position of the actual noise is unknown in the part of the generated noise map, the noise map is divided using the sliding window method. In this paper, internal parameter of the deep convolutional neural networks is visualized using the t-SNE (t-Stochastic Neighbor Embedding) algorithm, and the misclassified data is analyzed in a qualitative way. In order to analyze the classified data, the similarity of the noise type was quantified by SSIM (Structural Similarity Index) value, and it was found that the retractor tremble sound is most similar to the normal travel sound. The classifier of the proposed method compared with other classifiers of machine learning method recorded the highest classification accuracy (99.15 %).

Development of the combustion noise index and control algorithm through signal processing of in-cylinder pressure for a diesel engine (연소압력 신호처리를 통한 디젤엔진 연소음 지수 및 제어 알고리듬 개발)

  • Jin, Jaemin;Lee, Dongchul;Jung, Insoo
    • The Journal of the Acoustical Society of Korea
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    • v.35 no.3
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    • pp.208-215
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    • 2016
  • To control and improve a combustion behavior of an engine, various studies for the in-cylinder pressure have been consistently carried out. In this paper, the level of the combustion noise for a diesel engine is estimated from the in-cylinder pressure and defined as the combustion noise index. The combustion noise index is calculated from the FFT(Fast Fourier Transform) of the in-cylinder pressure and its validity is verified. The control system based on the combustion noise index is developed and implemented in a vehicle. A number of injection parameters are controlled to meet the desired combustion noise index, and the combustion noise of a vehicle is improved up to 4.0 dB(A) in the specified frequency band.

Optimal Motions for a Robot Manipulator amid Obstacles by the Representation of Fourier Series (후리에 급수 표현에 의한 로봇 팔의 장애물 중에서의 최적 운동)

  • 박종근
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.11a
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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.

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Conservation status assessment of archaeological bone from Fourier Transform Infrared Spectroscopy and histological Analysis (적외선 분광 분석과 조직 분석을 통한 출토 인골의 보존 상태 평가)

  • Lee, Jeongwon;Kim, Sue Hoon;Kim, Yun-Ji;Cho, Eun Min;Kang, Soyeong
    • 보존과학연구
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    • s.35
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    • pp.87-98
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    • 2014
  • Fourier transform infrared spectroscopy(FTIR-ATR) was applied to chemical analysis for conservation status of 10 human bone remains from Joseon Dynasty. The result of crystallinity index (CI) is $4.25{\pm}0.78$, carbonate to carbonate ratio (C/C) is $0.91{\pm}0.04$ and cabonate content (C/P) is $0.19{\pm}0.06$. The higher histological index (HI) confirmed CI and C/P value was increased and C/C value was reduced. While C/C or C/P values analysis is possible. While DNA analysis can be extracted from the bone, C/C values are lower or C/P values are higher was found to the analysis is possible. Chemical assessment of FTIR and histological index consequence is expected to be applicable as a basis for comprehensive understanding of the conservation status excavated bones.

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Determining the Thickness of a Trilayer Thin-Film Structure by Fourier-Transform Analysis (푸리에 변환을 이용한 3층 구조 박막의 두께 측정)

  • Cho, Hyun-Ju;Won, Jun-Yeon;Jeong, Young-Gyu;Woo, Bong-Ju;Yoon, Jun-Ho;Hwangbo, Chang-Kwon
    • Korean Journal of Optics and Photonics
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    • v.27 no.4
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    • pp.143-150
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    • 2016
  • The thickness of each layer in a multilayered system is determined by a Fourier-transform method using spectroscopic reflectance measurements. To verify this method, we first generate theoretical reflectance spectra for three layers, and these are fast-Fourier-transformed using our own Matlab program. Each peak of the Fourier-transformed delta function denotes the optical thickness of each layer, and these are transformed to physical thicknesses. The relative thickness error of the theoretical model is less than 1.0% while a layer's optical thickness is greater than 730 nm. A PI-(thin $SiO_2$)-PImultilayeredstructure produced by the bar-coating method was analyzed, and the thickness errors compared to SEM measurements. Even though this Fourier-transform method requires knowing the film order and the refractive index of each layer prior to analysis, it is a fast and nondestructive method for the analysis of multilayered structures.