• Title/Summary/Keyword: Fourier series approach

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Equivalent Network Modeling of Slot-Coupled Microstripline to Waveguide Transition (슬롯 결합 마이크로스트립라인-도파관 천이기의 등가 회로 모델링)

  • Kim Won-Ho;Shin Jong-Woo;Kim Jeong-Phill
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.15 no.10 s.89
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    • pp.1005-1010
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    • 2004
  • An analysis method of slot-coupled microstripline to waveguide transition is presented to developed a simple but accurate equivalent circuit model. The equivalent circuit consists of an ideal transformer, microstrip open stub, and admittance elements looking into a waveguide and a half space of feed side from a slot center. The related circuit element values are calculated by applying the reciprocity theorem, the Fourier transform and series representation, the complex power concept, and the spectral-domain immittance approach. The computed scattering parameters are compared with the measured, and good agreement validates the simplicity and accuracy of the proposed equivalent circuit model.

A Theoretical Analysis of Thermic Endfire Interstitial Applicator

  • Park, Jong-Kweon;Eom, Hyo-Joon
    • Journal of electromagnetic engineering and science
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    • v.1 no.1
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    • pp.60-62
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    • 2001
  • A novel approach for modeling the thermic endfire interstitial applicator is presented. A hypothetical semi-infinite circular cylinder is added in the endfire direction in order to facilitate the theoretical modeling approach. The Fourier transform and mode-matching technique is utilized to obtain a solution in fast-convergent series Numerical computations for the input impedance are performed to check the Validity of the theoretical model.

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Boundary estimation in electrical impedance tomography with multi-layer neural networks

  • Kim, Jae-Hyoung;Jeon, Hae-Jin;Choi, Bong-Yeol;Lee, Seung-Ha;Kim, Min-Chan;Kim, Sin;Kim, Kyung-Youn
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.40-45
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    • 2004
  • This work presents a boundary estimation approach in electrical impedance imaging for binary-mixture fields based on a parallel structured multi-layer neural network. The interfacial boundaries are expressed with the truncated Fourier series and the unknown Fourier coefficients are estimated with the parallel structure of multi-layer neural network. Results from numerical experiments shows that the proposed approach is insensitive to the measurement noise and has a strong possibility in the visualization of binary mixtures for a real time monitoring.

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Robust Damage Diagnostic Method Using Short Time Fourier Transform and Beating (단시간 푸리에 변환과 맥놀이를 이용한 강건한 결함 진단법)

  • Lee, Ho-Cheol
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.9 s.102
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    • pp.1108-1117
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    • 2005
  • A robust damage detection method using short-time Fourier transform and beating phenomena is presented as an estimating tool of the healthiness of large structures. The present technique makes use of beating phenomena that manifest themselves when two signals of similar frequencies are added or subtracted. Unlike most existing methods based on vibration signals, the present approach does not require an analytic model for target structures. Furthermore, the main advantage of the proposed method compared to the competing diagnostic method using vibration data is its robustness. The proposed method is not affected by the amplitude of exciting signals and the location of exciting points. From a measuring view point. the location of sensing point have no influence on the performance of the present method. With a view to verifying the effectiveness of this method. a series of experiments are made and the results show its possibility as a robust damage diagnostic method.

Network Analysis and Design of Aperture-Coupled Cavity-Fed Microstrip Patch Antenna (개구면 결합 공진기 급전 마이크로스트립 패치 안테나의 회로망 해석 및 설계)

  • Shin Jong Woo;Kim Jeong Phill
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.41 no.12
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    • pp.93-102
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    • 2004
  • This paper presents a general theory for the analysis of an aperture-coupled cavity-fed microstrip patch antenna to develop a simple but accurate equivalent circuit model. The developed equivalent circuit consists of ideal transformers, admittance elements, and transmission lines. These circuit element values are computed by applying the complex power concept, the Fourier transform and series representation, and the spectral-domain immittance approach. The input impedance of the antenna is calculated and compared with the published data. Good agreements validate the simplicity and accuracy of the developed equivalent circuit model.

Semi-analytical solution of horizontally composite curved I-beam with partial slip

  • Qin, Xu-xi;Liu, Han-bing;Wu, Chun-li;Gu, Zheng-wei
    • Steel and Composite Structures
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    • v.27 no.1
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    • pp.1-12
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    • 2018
  • This paper presents a semi-analytical solution of simply supported horizontally composite curved I-beam by trigonometric series. The flexibility of the interlayer connectors between layers both in the tangential direction and in the radial direction is taken into account in the proposed formulation. The governing differential equations and the boundary conditions are established by applying the variational approach, which are solved by applying the Fourier series expansion method. The accuracy and efficiency of the proposed formulation are validated by comparing its results with both experimental results reported in the literature and FEM results.

Analytic Solution for Stable Bipedal Walking Trajectory Generation Using Fourier Series (푸리에 급수를 이용한 이족보행로봇의 보행 궤적 해석해 생성)

  • Park, Ill-Woo;Back, Ju-Hoon
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.12
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    • pp.1216-1222
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    • 2009
  • This article describes a simple method for generating the walking trajectory for the biped humanoid robot. The method used a simple inverted model instead of complex multi-mass model and a reasonable explanation for the model simplification is included. The problem of gait trajectory generation is to find the solution from the desired ZMP trajectory to CoG trajectory. This article presents the analytic solution for the bipedal gait generation on the bases of ZMP trajectory. The presented ZMP trajectory has Fourier series form, which has finite or infinite summation of sine and cosine functions, and ZMP trajectory can be designed by calculating the coefficients. From the designed ZMP trajectory, this article focuses on how to find the CoG trajectory with analytical way from the simplified inverted pendulum model. Time segmentation based approach is adopted for generating the trajectories. The coefficients of the function should be designed to be continuous between the segments, and the solution is found by calculating the coefficients with this connectivity conditions. This article also has the proof and the condition of solution existence.

A study on the design of bandpass filters using SAW components (탄성표면파 소자를 이용한 대역통과 여파기의 설계에 관한 연구)

  • 전계석;황금찬;김봉열
    • 전기의세계
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    • v.31 no.2
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    • pp.141-146
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    • 1982
  • In this paper, surface acoustic wave (SAW) bandpass filter is designed using the Fourier series approach and the I$_{0}$-shin window function. And also we studied a method to realize SAW filter using the apodized ID transducer which was fabricated with aluminum metallization of about 1500 A over .deg. thickness on Y-cut Z-propagating LiNbO$_{3}$, crystal by photolithographic technique (lift-off method). Experimental results on SAW bandpass filter responses show good agreements with the theoretical characteristics.s.

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A New Approach for Pulsating Torque Minimization of BLDC Motor

  • Lee, Young-Jin;Lee, Man-Hyung;Park, Sung-Jun;Park, Han-Woong
    • Journal of Mechanical Science and Technology
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    • v.15 no.7
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    • pp.831-838
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    • 2001
  • Torque ripple control of brushless DC motor has long been the main issue of the servo drive systems in which the speed fluctuation, vibration and acoustic noise need to be minimized. The vast majority of the methods for suppressing the torque ripple require the Fourier series analysis and either the iterative or least mean square minimization. In this paper, a novel approach based on the d-q-0 reference frame that achieves ripple-free torque control with maximum efficiency is presented. The proposed method optimizes the reference phase current waveforms including even the case of 3-phase unbalanced condition, and the motor winding currents are controlled to track the optimized current waveforms by the delta modulation technique. As a results, the proposed approach provides a simple and yet effectine means for obtaining the optimal motor excitation currents. The validity and applicability of the proposed control scheme are verified through simulations and experimental investigations.

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A Fractional Integration Analysis on Daily FX Implied Volatility: Long Memory Feature and Structural Changes

  • Han, Young-Wook
    • Asia-Pacific Journal of Business
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    • v.13 no.2
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    • pp.23-37
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    • 2022
  • Purpose - The purpose of this paper is to analyze the dynamic factors of the daily FX implied volatility based on the fractional integration methods focusing on long memory feature and structural changes. Design/methodology/approach - This paper uses the daily FX implied volatility data of the EUR-USD and the JPY-USD exchange rates. For the fractional integration analysis, this paper first applies the basic ARFIMA-FIGARCH model and the Local Whittle method to explore the long memory feature in the implied volatility series. Then, this paper employs the Adaptive-ARFIMA-Adaptive-FIGARCH model with a flexible Fourier form to allow for the structural changes with the long memory feature in the implied volatility series. Findings - This paper finds statistical evidence of the long memory feature in the first two moments of the implied volatility series. And, this paper shows that the structural changes appear to be an important factor and that neglecting the structural changes may lead to an upward bias in the long memory feature of the implied volatility series. Research implications or Originality - The implied volatility has widely been believed to be the market's best forecast regarding the future volatility in FX markets, and modeling the evolution of the implied volatility is quite important as it has clear implications for the behavior of the exchange rates in FX markets. The Adaptive-ARFIMA-Adaptive-FIGARCH model could be an excellent description for the FX implied volatility series