• Title/Summary/Keyword: Frequency polygon

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Design of a Polygon Slot Antenna with a Polygon Tuning Stub for Ultra-Wideband Applications

  • Lee, Ju Ho;Choi, Young Gyu;Yoon, Joong Han
    • Journal of information and communication convergence engineering
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    • v.15 no.1
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    • pp.1-6
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    • 2017
  • In this study, we develop and experimentally evaluate an ultra-wideband (UWB) slot antenna with a polygon tuning stub. The proposed antenna consists of a polygon slot with a $50-{\Omega}$ feed line. The effects of various parameters of the polygon-shaped slot and the polygon tuning stub on UWB applications are investigated. The optimum parameters were obtained using the Ansys HFSS software. The results of the studies on the surface current distributions of the operating frequency bands were discussed. The proposed antenna is fabricated on an inexpensive FR-4 substrate with the overall dimensions of $28.0mm{\times}30.0mm$. The measured results confirm that the proposed antenna covers frequencies from 2.58 GHz to 13.27 GHz, which is the UWB frequency range. Further, the proposed UWB antenna also exhibited that omni-directionality in the H-plane gain varied from 1.185 to 7.246 dBi. The good antenna characteristics of the proposed antenna make it suitable for UWB system applications.

A new method for calculating quantiles of grouped data based on the frequency polygon (집단화된 통계자료의 도수다각형에 근거한 새로운 분위수 계산법)

  • Kim, Hyuk Joo
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.2
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    • pp.383-393
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    • 2017
  • When we deal with grouped statistical data, it is desirable to use a calculation method that gives as close value to the true value of a statistic as possible. In this paper, we suggested a new method to calculate the quantiles of grouped data. The main idea of the suggested method is calculating the data values by partitioning the pentagons, that correspond to the class intervals in the frequency polygon drawn according to the histogram, into parts with equal area. We compared this method with existing methods through simulations using some datasets from introductory statistics textbooks. In the simulation study, we simulated as many data values as given in each class interval using the inverse transform method, on the basis of the distribution that has the shape given by the frequency polygon. Using the sum of squares of differences from quantiles of the simulated data as a criterion, the suggested method was found to have better performance than existing methods for almost all quartiles and deciles.

Polygon-shaped Filters in Frequency Domain for Practical Filtering of Images (현실적 영상 필터링 방법을 위한 주파수 영역에서의 다각형 형태 필터의 모델링)

  • Kim, Ju-O;Kim, Ji-Su;Park, Cheol-Hyeong;Lee, Deok-Woo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.20 no.3
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    • pp.1-7
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    • 2019
  • In this paper, we propose an approach to design a practical filter and a mathematical modeling for images. In the areas of signal processing, including high-dimensional image processing, the filtering process has been fundamental and crucial in diverse practical applications such as image processing, computer vision, and pattern recognition. In general, the ideal filter is modeled as circular-shaped in the 2D frequency domain as the rectangular shape is ideal for the 1D frequency domain. This paper proposes an approach to modeling practical and efficient image filter in the 2D frequency domain. Instead of employing a circular-shaped filter, this study proposes a polygon-shaped filter inspired by the concept of a hexagon cellular system for frequency reuse in wireless communication systems. By employing the concept of frequency reuse, bandwidth efficiency is also achieved in the frequency domain. To substantiate the proposed approach, quantitative evaluation is performed using PSNR.

Finite Element Analysis of Unbalance Response of a High Speed Flexible Polygon Mirror Scanner Motor Considering the Flexibility of Supporting Structure (지지구조의 유연성을 고려한 고속 유연 폴리곤 미러 스캐너 모터의 유한 요소 불평형 응답 해석)

  • Jung, Kyung-Moon;Seo, Chan-Hee;Kim, Myung-Gyu;Jang, Gun-Hee
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.05a
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    • pp.859-865
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    • 2007
  • This paper presents a method to analyze the unbalance response of a high speed polygon mirror scanner motor supported by sintered bearing and flexible supporting structures by using the finite element method and the mode superposition method. The appropriate finite element equations for polygon mirror are described by rotating annular sector element using Kirchhoff plate theory and von Karman non-linear strain, and its rigid body motion is also considered. The rotating components except for the polygon mirror are modeled by Timoshenko beam element including the gyroscopic effect. The flexible supporting structures are modeled by using a 4-node tetrahedron element and 4-node shell element with rotational degrees of freedom. Finite element equations of each component of the polygon mirror scanner motor and the flexible supporting structures are consistently derived by satisfying the geometric compatibility in the internal boundary between each component. The rigid link constraints are also imposed at the interface area between sleeve and sintered bearing to describe the physical motion at this interface. A global matrix equation obtained by assembling the finite element equations of each substructure is transformed to a state-space matrix-vector equation, and both damped natural frequencies and modal damping ratios are calculated by solving the associated eigenvalue problem by using the restarted Arnoldi iteration method. Unbalance responses in time and frequency domain are performed by superposing the eigenvalues and eigenvectors from the free vibration analysis. The validity of the proposed method is verified by comparing the simulated unbalance response with the experimental results. This research also shows that the flexibility of supporting structures plays an important role in determining the unbalance response of the polygon mirror scanner motor.

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Free Vibrations of Tapered Columns with Constant Volume (일정체적 변단면 기둥의 자유진동)

  • 이병구;이태은;최규문;송주한
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.417-422
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    • 2002
  • The main purpose of this paper is to determine the dynamic optimal shapes of tapered column with constant volume. The linear, parabolic and sinusoidal tapers with the regular polygon cross-section are considered, whose material volume and span length are always held constant. The ordinary differential equation including the effect of axial load is applied to calculate the natural frequencies. The Runge-Kutta method and Regula-Falsi methods are used to integrate the differential equation and compute the frequencies, respectively. Then the dynamic optimal shape whose lowest natural frequency is highest is determined by reading the critical value of the frequency versus section ratio curve plotted by the frequency data. In the numerical examples, the tapered columns are analysed and the numerical result of this study are shown in table and figures.

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An Analysis of the Frequency-Dependent Resultant Ground Impedance of Vertical Ground Electrodes Installed in Parallel (병렬로 시공된 수직 접지전극의 합성접지임피던스의 주파수의존성 분석)

  • Lee, Bok-Hee;Cho, Sung-Chul;Seong, Chang-Hoon
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.26 no.2
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    • pp.99-105
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    • 2012
  • This paper deals with the experimental results of the frequency-dependent resultant ground impedance of vertical ground electrodes installed with a regular n-polygon. In order to propose an effective method of installing the vertically-driven multiple ground electrodes used to obtain the low ground impedance, the resultant ground impedance of ground electrodes installed with a regular n-polygon were measured as functions of the number of ground electrodes and the frequency of test currents and the results were discussed based on the potential interferences among ground electrodes. As a consequence, the effect of potential interference on the resultant ground impedance of vertical ground electrodes is frequency-dependent and it is significant in the low frequency of a few hundreds [Hz]. The resultant ground impedance of multiple vertical ground electrodes is not decreased in linearly proportion to the number of ground electrodes due to the overlapped potential interferences. Also the distributed-parameter circuit model considering the potential interference, the frequency-dependent relative permittivity and resistivity of soil was proposed. The simulated results of the frequency-dependent resultant ground impedance of multiple vertical ground electrodes are in good agreement with the measured data.

Free Vibrations of Tapered Circular Arches with Constant Volume (일정체적 변단면 원호형 아치의 자유진동)

  • Lee, Byoung-Koo;Lee, Tae-Eun;Yoon, Hee-Min;Choi, Jong-Min
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.2
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    • pp.144-152
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    • 2010
  • This paper deals with free vibrations of the tapered circular arches with constant volume, whose cross sectional shape is the solid regular polygon. Volumes of the objective arches are always held constant regardless shape functions of the cross-sectional depth. The shape functions are chosen as the linear, parabolic and sinusoidal ones. Ordinary differential equations governing free vibrations of such arches are derived and solved numerically for determining the natural frequencies. In the numerical examples, hinged-hinged, hinged-clamped and clamped-clamped end constraints are considered. As the numerical results, the relationships between non-dimensional frequency parameters and various arch parameters such as rise ratio, section ratio, side number, volume ratio and taper type are reported in tables and figures.

Dynamic Optimal Shapes of Simple Beam-Columns with Constant Volume (일정체적 단순지지 보-기둥의 동적 최적단면)

  • Lee, Byoung Koo;Park, Kwang Kyou;Mo, Jeong Man;Lee, Sang Jin
    • Journal of Korean Society of Steel Construction
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    • v.9 no.2 s.31
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    • pp.221-228
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    • 1997
  • The main purpose of this paper is to determine the dynamic optimal shapes of simple beam-columns with the constant volume. The parabolic function is chosen as the variable equation for the depth of regular polygon cross-section. The ordinary differential equation including the effect of axial load is applied to calculate the natural frequencies. The Runge-Kutta and Regula-Falsi methods are used to integrate the differential equation and compute the frequencies, respectively. Then the dynamic optimal shape whose lowest natural frequency is highest is determined by reading the critical value of the frequency versus section ratio curve plotted by the frequency data. In the numerical examples, the simple beam-columns are analysed and the numerical results of this study are shown in tables and figures.

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Power Divider using Shunt Open-Stub Loaded Transmission Line (병렬 오픈 스터브가 연결된 전송선로를 이용한 전력분배기)

  • Kwan, Sang-Gun;Kim, Young;Yoon, Young-Chul
    • Journal of Advanced Navigation Technology
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    • v.15 no.5
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    • pp.774-780
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    • 2011
  • This paper presents a Bagley polygon and Gysel divider using open-stub loaded transmission line. The structure of slow-wave characteristic consists of small transmission line and shunt capacitive open stub that have reduced characteristic impedance and phase velocity, so we can implement the small circuit size. To validate the slow-wave characteristics, we are implemented the slow-wave characteristic of Bagley polygon and Gysel divider at center frequency 2.1 GHz. Its characteristics are same, but the circuit size is reduced above 15 % respectively.

Free Vibrations and Buckling Loads of Tapered Beam-Columns of Regular Polygon Cross-section with Constant Volume (일정체적의 정다각형 단면을 갖는 변단면 보-기둥의 자유진동 및 좌굴하중)

  • Lee, Byong Koo
    • Journal of KSNVE
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    • v.6 no.5
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    • pp.587-594
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    • 1996
  • The differential equation governing both the free vibrations and buckling loads of tapered beam-columns of regular polygon cross-section with constant volume were derived and solved numerically. The parabolic and sinusoidl tapers were chosen as the variable depth of cross-section for the tapered beam-column. In numerical examples, the clamped-clamped, hinged-clamped and hinged-hinged end constraints were considered. The variations of frequency parameters and first buckling load parameters with the non-dimensional system parameters are reported in figures, and typical vibrating mode shapes are presented. Also, the configurations of strongest columns were determined.

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