• Title/Summary/Keyword: polar coordinates

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Development of Ultrasound Sector B-Scanner(II)-Digital Scan Converter- (초음파 섹터 B-스캐너의 개발(II)-디지탈 스캔 컨버터-)

  • 김주한;김영모
    • Journal of Biomedical Engineering Research
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    • v.7 no.2
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    • pp.133-138
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    • 1986
  • Abstract In a conventional digital sector scan system in the ultrasound medical imaging, the sampling space is in the polar coordinates while the display space is in the cartesian coordinates, which necessitates a coordinate transformation process resultion process resulting the overall system very complex and bulky. In this paper we propose a new architecture of the Digital-Scan-Converter (DSC) for the ultrasound sector scan system in which sampling space is the same as the display space, so the data are displayed as they are acquired without any interpola- tion process required. To implement the above real time DSC. two frequency synthesizes with very high switching time and a low-pass filter are required. The former determines the precise location of the data points and the latter fills the gap betw- een pixels in the horizontal direction.

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The Realization of the Three Dimensional Guidance Law Using Modified Augmented Proportional Navigation (개선된 부가비례항법을 이용한 3차원 유도법칙의 구현)

  • Kim, Y.M.;Seo, J.H.
    • Proceedings of the KIEE Conference
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    • 1995.11a
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    • pp.222-224
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    • 1995
  • This paper deals with 3-dimensional missile guidance law. This presents the general optimal solution of the state equation which includes the target maneuvering as the Gauss-Markov processing. The main results ore about the transformation between the Cartesian coordinates on which both the guidance law and the filter are bused and the polar coordinates system in real missile guidance and measurement information. And the extended Kalman filter and adjustment of the estimated target acceleration by triangular functions is proposed solution to this transformation problem. It is shown that this proposed transformation is valid in real 3-dimensional guidance problem by the computer simulation.

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Conversion of Korean Geodetic Coordinates (우리나라 측지좌표계의 좌표변환)

  • Seo, Seung-Nam;Kim, Sang-Ik
    • Ocean and Polar Research
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    • v.23 no.2
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    • pp.121-130
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    • 2001
  • Geodetic datums define the size and shape of the earth and the origin and orientation of the coordinate systems used to map the earth. A lot of different datums have been developed and each nation uses its own datum as the basis for coordinate systems used to identify positions in geographic information systems. Recently GPS receivers are widely used to find out location and GPS is based on the World Geodetic System 1984(WGS-84) datum. Therefore the diversity of datums in use today requires accurate conversion between coordinates in different datums. In this study a coordinate conversion program on Windows is developed to transform between Tokyo Bessel(1941), which is the reference datum in Korea, and WGS-84. Several examples of coordinate conversion are presented and computed results are tested and proved to be correct.

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Structural Improvement of Extended Kalman Filter using Coordinate Transformation (좌표 변환을 이용한 확장 칼만 필터의 구조적 개선)

  • Yun, Kang-Sup;Kim, Jong-Hwa;Hwang, Chang-Sun;Lee, Man-Hyung
    • Proceedings of the KIEE Conference
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    • 1988.07a
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    • pp.905-908
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    • 1988
  • In recent, Kalman filter technique has been much used as one of technique for tracking of the moving target. But some problem are still remained to be resolved. For example, when Kalman filter technique is applied to nonlinear system, the technique is nonoptimal estimator. Therefore, extended Kalman filter is proposed to reduce modeling error for nonlinear system. In this study, an extended Kalman filter in Cartesian coordinates is described for moving target, when the radar sensor measures range, azimuth and elevation angle in polar coordinates. And an approximate gain computation algorithm is proposed. In this approach, Kalman gains are computed for three uncoupled filter and multiplied by a Jacobian transformation determined from the measured target position and orientation.

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A Study on Finding of Simplified Multiple Load Flow Solutions and Evaluating of Voltage Stability (간략조류계산법과 전압안정도 평가예 관한 연구)

  • Song, Kil-Young;Kim, Sae-Young
    • Proceedings of the KIEE Conference
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    • 1995.07b
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    • pp.556-558
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    • 1995
  • This paper presents a new simplified method for finding the multiple load flow solutions and through their solutions the voltage stability can be evaluated. Line flow($P_{ij}$, $Q_{ij}$) may be formulated with the second-order equations for $V_{i}^{2}$ in polar coordinates or two circle equations for $e_{i}$ and $f_{i}$ in rectangular coordinates. Based on this feature, multiple load flow solutions are calculated with simple works, results of multiple load flow solutions are used for sensitivity analysis of voltage stability. Also, in the case that reactive power sources is considered, method of evaluating the voltage stability is introduced. The proposed method was validated to 2-bus and IEEE 6-bus system.

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Analysis of the Derivative Coupling Vector for the $1,2^2$ A' States of $H_3$

  • Han, Seung Seok
    • Bulletin of the Korean Chemical Society
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    • v.21 no.12
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    • pp.1227-1232
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    • 2000
  • Near the conical intersection for the 1,2 $^{2}A'$ states of $H_3$ the derivative coupling vector is calculated and analyzed on the plane of internal coordinates, (U,V) or its polar coordinates $(S{\theta})$, based on the squares of the internuclear distances. It is shown that in the vicinity of the conical intersection the derivative coupling vector behaves like ${\theta}/2S$, which is responsible for the sign changes of the real-valued electronic wave function when the nuclear configuration traverses a closed path enclosing a conical intersection. The analytic property of the wave functions is studied and especially the observation of the sign change in the configuration state function (CSF) coefficients of the real-valued electronic wave functions is demonstrated.

Management Scheme of Sensor Network using Circular Coordinates (원형 좌표계를 이용한 센서네트워크 키 관리 기법)

  • Hong, Seong-Sik;Ryou, Hwang-Bin
    • Convergence Security Journal
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    • v.6 no.2
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    • pp.71-80
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    • 2006
  • Sensor network is made from very small and restrictive-power nodes, and they collect some information of environment like as thermal and tremor, etc. And they transfer the information to each other. Generally, supporting the Security service of sensor network is a difficult work, because the nodes have very small cpu-power and low electronic-power. So, More effective management scheme will needed for the maintenance of stability. In this paper, we propose the location based management scheme with circular coordinates. We were make the with the relative location information from one node to other. The new scheme show more simple and effective result then the other method for key management.

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Digital Scan Converter Algorithm for Ultrsound Sector Scanner (초음파 섹터 스캐너를 위한 디지털 스캔 변환 기법)

  • 김근호;오정환
    • Journal of Biomedical Engineering Research
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    • v.17 no.4
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    • pp.469-478
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    • 1996
  • In the conventional digital ultrasound scanner, the reflected signal is sampled either in polar coordinates of R-$\theta$ method, or in Cartesian coordinates of uniform ladder algorithm (ULA). The R-$\theta$ scan method necessitates a coordinate transform process which makes hardware complex in comparison with ULA scan mrthoA In spite of this complexity, R-$\theta$ method has a good resolution in ultrasonographic (US) image, since scan direction of the US imaging is a radial direction. In this paper, a new digital scan converter is proposed, which is named the radius uniform ladder algorithm (RULA). The RULA has the rome scan direction as the US scanning in the radial direction and as the display space in the $\theta$ direction. In tllis new approach, sampled points we uniformly distributed in each horizontal line i.n well as in each radial ray so that the data are displayed in the Cartesian coordinates by the 1-D interpolation process. The propped algorithm has an uniform resolution in the periphery and the center field in comparison with equi-angle ULA and equi-interval ULA. To extend the scan angle, concentric square raster sampling (CSRS) is adopted with reduction of discontinuities on the junctions between horizontal scan and vertical scan. The discontinuities are reduced by using the hmction filtering along the $\theta$ direction.

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Free Vibrations of Arches in Cartesian Coordinates (직교좌표계에 의한 아치의 자유진동)

  • Lee, Byoung-Koo;Lee, Yong-Soo;Kim, Il-Jung;Choi, Kou-Moon
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.12 no.12
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    • pp.970-978
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    • 2002
  • The differential equations governing free vibrations of the elastic arches with unsymmetric axis are derived in Cartesian coordinates rather than in polar coordinates. in which the effect of rotatory inertia is included. Frequencies and mode shapes are computed numerically for parabolic arches with both clamped ends and both hinged ends. Comparisons of natural frequencies between this study and SAP 2000 are made to validate theories and numerical methods developed herein. The convergent efficiency is highly improved under the newly derived differential equations in Cartesian coordinates. The lowest four natural frequency parameters are reported, with and without the rotatory inertia, as functions of three non-dimensional system parameters the rise to chord length ratio. the span length to chord length ratio, and the slenderness ratio. Also typical mode shapes of vibrating arches are presented.

Magnetic Field Analysis of Permanent Magnet Synchronous Motor using Transfer Relations of Magnetic Vector Potential (전자기 전달관계 해석기법을 이용한 영구자석형 동기전동기의 자계특성해석)

  • Jang, Seok-Myeong;Ko, Kyoung-Jin;Cho, Han-Wook;Choi, Jang-Young
    • Proceedings of the KIEE Conference
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    • 2006.04b
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    • pp.191-193
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    • 2006
  • This paper presents an analytical solution to predict magnetic field distribution of permanent magnet synchronous motor equipped with surface-mounted magnet by using transfer relations in terms of two-dimensional model in polar coordinates. The analytical results are validated by comparison with finite element analyses (FEA).

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