• Title/Summary/Keyword: polar coordinates

Search Result 102, Processing Time 0.033 seconds

A Test for Spherical Symmetry

  • Park, Cheol-Yong
    • 한국데이터정보과학회:학술대회논문집
    • /
    • 2005.04a
    • /
    • pp.182-184
    • /
    • 2005
  • In this study, we propose a chi-squared test of spherical symmetry. The advantage of this test is that the test statistic and its asymptotic p-value are easy to compute. A simulation study is conducted to study the accuracy, in finite samples, of the limiting distribution of the test statistic under spherical symmetry. The power of our test is compared with those of other tests for spherical symmetry in various alternative distributions via simulation.

  • PDF

Parameter Calculation of Permanent Magnet Synchronous Motor using the TRT (전자기 전달관계 해석기법을 이용한 영구자석형 동기전동기의 제정수 산출)

  • Jang, Seok-Myeong;Ko, Kyoung-Jin;Cho, Han-Wook;Choi, Jang-Young
    • Proceedings of the KIEE Conference
    • /
    • 2006.07b
    • /
    • pp.895-896
    • /
    • 2006
  • This paper presents an analytical solution to calculate parameters of permanent magnet synchronous motor equipped with surface-mounted magnet by using transfer relations theorem(TRT) in terms of two-dimensional model in polar coordinates. The analytical results are validated by comparison with finite element analyses (FEA).

  • PDF

A Simple Chi-Squared Test of Spherical Symmetry

  • Park, Cheol-Yong
    • Journal of the Korean Data and Information Science Society
    • /
    • v.16 no.2
    • /
    • pp.227-236
    • /
    • 2005
  • A chi-squared test of spherical symmetry is suggested. This test is easy to apply in practice since it is easy to compute and has a limiting chi-squared distribution under spherical symmetry. The result of Park(1998) can be used to show that it has the limiting chi-squared distribution. A simulation study is conducted to study the accuracy, in finite samples, of the limiting distribution. Finally, a simulation study that compares the power of our test with those of other tests of spherical symmetry is performed.

  • PDF

A study on the transient temperature distribution for spot welds (점용접에 있어서 온도분포의 변화에 관한 연구)

  • 왕지석;조용배
    • Journal of Advanced Marine Engineering and Technology
    • /
    • v.12 no.1
    • /
    • pp.37-45
    • /
    • 1988
  • A calculating method of transient temperature distribution due to spot welding of thin plates is studied in this paper. Considering the contact stress between upper and lower plate and temperature-dependence of specific resistance and elastic limit of base metal, the model of calorific density of heat source was decided. Using 2-dimensional polar coordinates system, the governing equation of heat transfer was developed. The thermal cycles of various points were recorded using C-A thermocouples during spot welding procedure for mild steel plates of 1mm thickness, and those results were compared with the results of calculations presented in this paper.

  • PDF

Lattice Vibrational Calculation of Orthorhombic Hydrogne Chloride

  • No Kyoung Tai;Jaon Mu Shik
    • Bulletin of the Korean Chemical Society
    • /
    • v.6 no.4
    • /
    • pp.183-186
    • /
    • 1985
  • The lattice vibrational calculation of orthorhombic hydrogen chloride is performed using physically realistic potential function which can reproduce the X-ray structure and heat of sublimation of the low temperature phase. The polar coordinates representation is introduced in order to describe the intermolecular interactions in a molecular crystal. The splitting in internal modes is calculated as 49 $cm^{-1}$ and the other modes are in good agreement with experimental results.

Robust Watermarking Scheme Against Geometrical Attacks Using Alignment of Image Features (영상특징 정렬을 이용한 기하학적 공격에 강인한 워터마킹 기법)

  • Ko Yun-Ho
    • Journal of Korea Multimedia Society
    • /
    • v.9 no.5
    • /
    • pp.624-634
    • /
    • 2006
  • This paper presents a new watermarking scheme that is robust against geometrical attacks such as translation and rotation. The proposed method is based on the conventional PSADT(Polar Coordinates Shape Adaptive Discrete Transform) method which is an robust watermarking scheme for an arbitrarily-shaped image such as character images. The PSADT method shows perfect robustness against geometrical attack if there is no change in the shape of the image object. However, it cannot be utilized to watermark general rectangular images because of the missing alignment between the watermarked signals in the embedding and extracting side. To overcome this problem we propose a new watermarking scheme that aligns the watermark signal using the image inherent feature, especially corner. Namely the proposed method decides a consistent target region whose shape and position isn't changed by any malicious attack and then embeds the watermark in it using the PSADT method. Experimental results show the robustness of the proposed method against geometrical attacks as well as image compression.

  • PDF

Birefringence Analysis of a Uniaxially Anisotropic Substrate Based on the Trajectory of the Transmission Ellipsometric Pseudoconstant in Polar Coordinates (유사 투과타원상수의 극좌표상 자취에 기반한 단축 이방성 기층의 복굴절 해석)

  • Yang, Sung Mo;Kim, Sang Youl
    • Korean Journal of Optics and Photonics
    • /
    • v.30 no.4
    • /
    • pp.159-166
    • /
    • 2019
  • The trajectory of the transmission ellipsometric pseudoconstant ${\rho}=tan{\psi}_{\mu}e^{i{\Delta}_{\mu}}$ of a uniaxially anisotropic substrate like PET forms a circle in polar coordinates, as the phase-retardation angle is varied at a fixed azimuthal angle. The radius as well as the center's position of this circle are functions of the azimuthal angle only. This circle passes through the point (1,0), and the center of this circle is located on the real axis. These characteristics of the circle are examined analytically, and are utilized to derive simple expressions for the azimuthal angle and the phase-retardation angle of the uniaxially anisotropic substrate using the measured transmission ellipsometric constant. Finally, we confirm that the derived expressions are well applied to the analysis of the optical anisotropy of a PET film.

Evaluation of the Applicability of Solution Methods for 3D Conversion from Cartesian to Geodetic Coordinates (3차원 직교좌표의 측지좌표 전환을 위한 해석기법의 적용성 평가)

  • Lee, Yong Chang
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
    • /
    • v.32 no.2
    • /
    • pp.173-180
    • /
    • 2014
  • The methods for implementing geocentric to geodetic coordinates conversion could be classified into two, which are respectively the closed-form and the iterative-form solutions. Essential conditions to achieve performances are accuracy, speed of convergence and/or simplicity of it's algorithm. Also, the algorithm must be valid at any of inner and outer points in the Earth, including center of Earth, the equatorial plane and the polar axis that are known as 'special regions'. This research planned for evaluating the feasibility of coordinates conversion in special regions, and comparing the accuracy of conversion solutions by using 10 methods for conversions from geocentric to geodetic coordinates. By comparing performances of statistical tests(with accuracy and solving success in special regions), Vermeille(2011) and Karney(2011) methods brought out more satisfied and finer results than other methods.

Solution-Processible Blue-Light-Emitting Polymers Based on Alkoxy-Substituted Poly(spirobifluorene)

  • Lee, Jeong-Ik;Chu, Hye-Yong;Oh, Ji-Young;Do, Lee-Mi;Lee, Hyo-Young;Zyung, Tae-Hyoung;Lee, Jae-Min;Shim, Hong-Ku
    • ETRI Journal
    • /
    • v.27 no.2
    • /
    • pp.181-187
    • /
    • 2005
  • Alkoxy-substituted poly(spirobifluorene)s and their copolymers with a triphenylamine derivative have been synthesized by Ni(0)-mediated polymerization. The polymers were well soluble in common organic solvents. Pure blue-light emissions without the long wavelength emission of poly(fluorene)s have been observed in the fluorescence spectra of polymer thin films. The light emitting diodes with a device configuration of ITO/PEDT:PSS(30 nm)/polymer(60 nm)/LiF(1 nm)/Al(100 nm) have been fabricated. The electroluminescence spectra showed the blue emissions without the long wavelength emission as observed in the fluorescence spectra. The relatively poor electroluminescence quantum yield of the homopolymer (0.017% @ 20 $mA/cm^{2}$) with color coordinates of (0.16, 0.07) has been improved by the introduction of triphenylamine moiety, and the copolymer with derivative exhibited an electroluminescence quantum yield of 0.15 % at 20 $mA/cm^{2}$ with color coordinates of (0.16, 0.08). Moreover, the introduction of polar side chains to the spirobifluorene moiety enhanced the device performance and led to the quantum yields of 0.6 to 0.7 % at 20 $mA/cm^{2}$, although there was some expense of color purities.

  • PDF

Underwater Navigation of an Autonomous Underwater Vehicle Using Range Measurements from a Fixed Reference Station (고정기준점에 대한 거리측정 신호를 이용하는 자율무인잠수정의 수중항법)

  • Lee, Pan-Mook;Jun, Bong-Huan;Lim, Yong-Kon
    • Journal of Ocean Engineering and Technology
    • /
    • v.22 no.4
    • /
    • pp.106-113
    • /
    • 2008
  • This paper presents an underwater navigation system based on range measurements from a known reference station fixed on the sea bottom or floated at surface with a buoy, for which the system is extended to 3-dimensional coordinates. We formulated a state equation in polar coordinates and constituted an extended Kalman filter for discrete-time implementation of the navigation algorithm. The autonomous underwater vehicle, lSiMl, cruising with a constant speed can estimate its trajectory using just range measurements and additional depth, heading and pitch sensors. Simulation studies were performed to evaluate the underwater navigation of the maneuvering AUV with range measurements. We modulated the sample rate of range measurements to evaluate the effect of the update rate, and changed the initial position error of the AUV to check the robustness to estimation errors. Simulation results illustrates that the extended navigation system provides convergence of the state estimates. The navigation system was conditionally stable when it had initial position errors.