• Title/Summary/Keyword: Fourier Function

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A new index based on short time fourier transform for damage detection in bridge piers

  • Ahmadi, Hamid Reza;Mahdavi, Navideh;Bayat, Mahmoud
    • Computers and Concrete
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    • v.27 no.5
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    • pp.447-455
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    • 2021
  • Research on damage detection methods in structures began a few decades ago with the introduction of methods based on structural vibration frequencies, which, of course, continues to this day. The value of important structures, on the one hand, and the countless maintenance costs on the other hand, have led researchers to always try to identify more accurate methods to diagnose damage to structures in the early stages. Among these, one of the most important and widely used methods in damage detection is the use of time-frequency representations. By using time-frequency representations, it is possible to process signals simultaneously in the time and frequency domains. In this research, the Short-Time Fourier transform, a known time-frequency function, has been used to process signals and identify the system. Besides, a new damage index has been introduced to identify damages in concrete piers of bridges. The proposed method has relatively simple calculations. To evaluate the method, the finite element model of an existing concrete bridge was created using as-built details. Based on the results, the method identifies the damages with high accuracy.

Correction Method of Slit Modulation Transfer function on Digital Medical Imaging System (디지털 의료영상에서 슬릿법에 의한 Modulation Transfer Function의 보정방법)

  • Kim, Jung-Min;Jung, Hoi-Woun;Min, Jung-Whan;Im, Eon-Kyung
    • Journal of radiological science and technology
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    • v.29 no.3
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    • pp.133-139
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    • 2006
  • By using CR image pixel data, We examined the way how to calculate the MTF and digital characteristic curve. It can be changed to the text-file(Excel) from a pixel data which was printed with a digital x-ray equipment. In this place, We described the way how to figure out and correct the sharpness of a digital images of the MTF from FUJITA. Excel program was utilized to calculate from radiography of slit. Digital characteristic curve, Line Spread Function, Discrete Fourier Transform, Fast Fourier Transform digital specification curve, were indicated in regular sequence. A big advantage of this method, It can be understood easily and you can get results without costly program and without full knowledge of computer language. It shows many different values by using different correction methods. Therefore we need to be handy with appropriate correction method and we should try many experiments to get a precise MTF figures.

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Fast Harmonic Synthesis Method for Sinusoidal Speech-Audio Model (정현파 음성-오디오 모델의 빠른 하모닉 합성 방법)

  • Kim, Gyu-Jin;Kim, Jong-Hark;Jung, Gyu-Hyeok;Lee, In-Sung
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.44 no.4 s.316
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    • pp.109-116
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    • 2007
  • Most harmonic synthesis methods using phase information employ a quadratic or cubic phase interpolation. The methods are computationally expensive to implement because every component sinewave must be synthesized on a per sample basis. In this paper, we propose a fast harmonic synthesis method for sinusoidal speech/audio coding based on the quadratic and cubic phase function to overcome the complexity problem. To derive the fast harmonic synthesis method, we define the over-sampling function and phase modulation function by constraining the parameter of phase function to be independent for harmonic index and derive the fast synthesis method using IFFT. Experimental results show that the proposed method significantly reduce the complexity of conventional cosine synthesis method while maintaining the performance.

Wavelet Series Analysis of Axial Members with Stress Singularities (응력특이를 갖는 축방향 부재의 웨이블렛 급수해석)

  • Woo, Kwang-Sung;Jang, Young-Min;Lee, Dong-Woo;Lee, Sang-Yun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.1
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    • pp.1-8
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    • 2010
  • The Fourier series uses a vibrating wave that possesses an amplitude that is like the one of the sine curve. Therefore, the functions used in the Fourier series do not change due to the value of the frequency and that set a limit to express irregular signals with rapid oscillations or with discontinuities in localized regions. However, the wavelet series analysis(WSA) method supplements these limits of the Fourier series by a linear combination of a suitable number of wavelets. By using the wavelet that is focused on time, it is able to give changes to the range in the cycle. Also, this enables to express a signal more efficiently that has singular configuration and that is flowing. The main objective of this study is to propose a scheme called wavelet series analysis for the application of wavelet theory to one-dimensional problems represented by the second-order elliptic equation and to evaluate theperformance of proposed scheme comparing with the finite element analysis. After a through evaluation of different types of wavelets, the HAT wavelet system is chosen as a wavelet function as well as a scaling function. It can be stated that the WSA method is as efficient as the FEA method in the case of axial bars with distributed loads, but the WSA method is more accurate than the FEA method at the singular points and its computation time is less.

Improved Correlation Identification of Subsurface Using All Phase FFT Algorithm

  • Zhang, Qiaodan;Hao, Kaixue;Li, Mei
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.14 no.2
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    • pp.495-513
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    • 2020
  • The correlation identification of the subsurface is a novel electrical prospecting method which could suppress stochastic noise. This method is increasingly being utilized by geophysicists. It achieves the frequency response of the underground media through division of the cross spectrum of the input & output signal and the auto spectrum of the input signal. This is subject to the spectral leakage when the cross spectrum and the auto spectrum are computed from cross correlation and autocorrelation function by Discrete Fourier Transformation (DFT, "To obtain an accurate frequency response of the earth system, we propose an improved correlation identification method which uses all phase Fast Fourier Transform (APFFT) to acquire the cross spectrum and the auto spectrum. Simulation and engineering application results show that compared to existing correlation identification algorithm the new approach demonstrates more precise frequency response, especially the phase response of the system under identification.

Analysis of Signal Propagation in Nonlinear Optical Fiber using SS-FEM with Sparse Matrix (희귀행렬 SS-FEM에 의한 비선형 광섬유의 전송신호 해석)

  • Jeong, Baek-Ho;Lee, Ho-Jun
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.49 no.1
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    • pp.52-58
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    • 2000
  • Signal propagation in nonlinear optical fiber is analyzed numerically by using SS-FEM (Split-Step Finite Element Method). By adopting cubic element function in FEM, soliton equation of which exact solution was well known, has been solved. Also, accuracy of numerical results and computing times are compared with those of Fourier method, and we have found that solution obtained from using FEM was very relatively accurate. Especially, to reduce CPU time in matrix computation in each step, the matrix imposed by the boundary condition is approximated as a sparse matrix. As a result, computation time was shortened even with the same or better accuracy when compared to those of the conventional FEM and Fourier method.

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A CONTROLLER DESIGN OF ACTIVE SUSPENSION USING EVOLUTION STRATEGY AND NEURAL NETWORK

  • Cheon, Jong-Min;Kim, Seog-Joo;Lee, Jong-Moo;Kwon, Soon-Man
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.1530-1533
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    • 2005
  • In this paper, we design a Linear Quadratic Gaussian controller for the active suspension. We can improve the inherent suspension problem, trade-off between the ride quality and the suspension travel by selecting appropriate weights in the LQ-objective function. Because any definite rules for selecting weights do not exist, we use an optimization-algorithm, Evolution Strategy (ES) to find the proper control gains for selected frequencies, which have major effects on the vibrations of the vehicle's state variables. The frequencies and proper control gains are used for the neural network data. During a vehicle running, the trained on-line neural network is activated and provides the proper gains for non-trained frequencies. For the full-state feedback control, Kalman filter observes the full states and Fourier transform is used to detect the frequency of the road.

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Frequency-Dependent Characteristics of Shielded Single, Coupled and Edge-Offset Microstrip Structures (차폐된 단일, 결합 및 Edge-Offset 마이크로 스트립 구조의 주파수 의존특성)

  • 홍문환;홍의석;오영환
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.11 no.6
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    • pp.388-395
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    • 1986
  • Dispersion characteristics of shielded single, coupled and edge-offset microstrip structures are investigated by using hybrid mode analysis with Galerkin's method in the spectral domain. Two new basis functions for the longitudinal strip current are proposed and convergence rates of the solutions for the basis functions are compared. Current distribution of the coupled line is obtaind from that of the single line by using shift theorem of the Fourier transform. In addition, effects of off-centered inner strip conductor on dispersion are also discussed Numerical results include various structual parameters and are compared with other available data and good agreements are observed.

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Fault Detection System Development for a Spin Coater Through Vibration Assessment (스핀코터의 진동 평가를 통한 이상 검출 시스템 개발)

  • Moon, Jun-Hee;Lee, Bong-Gu
    • Journal of the Korean Society for Precision Engineering
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    • v.26 no.11
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    • pp.47-54
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    • 2009
  • Spin coaters are the essential instruments in micro-fabrication processes, which apply uniform thin films to flat substrates. In this research, a spin coater diagnosis system is developed to detect the abnormal operation of TFT-LCD process in real time. To facilitate the real-time data acquisition and analysis, the circular-buffered continuous data transfer and the short-time Fourier transform are applied to the fault diagnosis system. To determine whether the system condition is normal or not, a steady-state detection algorithm and a frequency spectrum comparison algorithm using confidence interval are newly devised. Since abnormal condition of a spin coater is rarely encountered, algorithm is tested on a CD-ROM drive and the developed program is verified by a function generator. Actual threshold values for the fault detection are tuned in a spin coater in process.

Dynamic Direct and Indirect Buckling Characteristics of Arch by Running Response Spectrum (연속 응답 스펙트럼 분석에 의한 아치의 동적 직접 및 간접 좌굴 특성)

  • Yun, Tae-Young;Kim, Seung-Deog
    • 한국공간정보시스템학회:학술대회논문집
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    • 2004.05a
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    • pp.161-168
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    • 2004
  • The dynamic instability of snapping phenomena has been studied by many researchers. Few papers deal with dynamic buckling under loads with periodic characteristics, and the behavior under periodic excitations is expected to be different from behavior under STEP excitations. We investigate the fundamental mechanisms of the dynamic instability when the sinusoidally shaped arch structures are subjected to sinusoidally distributed excitations with pin-ends. The mechanisms of dynamic indirect snapping of shallow arches are especially investigated under not only STEP function excitations but also under sinusoidal harmonic excitations, applied in the up-and-down direction. The dynamic nonlinear responses are obtained by the numerical integration of the geometrically nonlinear equation of motion, and examined by Fourier spectral analysis in order to get the frequency-dependent characteristics of the dynamic instability for various load levels.

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