• Title/Summary/Keyword: quadrature

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Measurement and Compensation of Nonlinearity in Homodyne Interferometer (Homodyne 간섭계에서의 비선형성 측정과 보정)

  • Kim, Jong-Yun;Eom, Tae-Bong;Jeong, Kyu-Won;Choi, Tae-Young;Lee, Keon-Hee
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.9
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    • pp.171-178
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    • 2001
  • The nonlinearity of a laser interferometer usually ranges from sub-nanometer to several manometers. This nonlinearity, which has periodic characteristics, limits the accuracy of the interferometer at the sub-nanometer level. The nonlinearity error of the one-frequency homodyne interferometer with quadrature fringe detection results from a number of factors including polarization mixing by imperfect optical elements, unequal gain of photo detectors, lack of quadrature between two signals and misalignment. In this paper, we described a method for measuring and compensating the nonlinearity of homodyne interferometer using the elliptical fitting technique with least-square method. Experimental results demonstrate that $^\pm$3.5 nm nonlinearity can be reduced to $^\pm$0.2 nm level.

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Development of Quadrature Detection Surface Coil for Functional Magnetic Resonance Imaging at 3T MRI System

  • Chu, Myung-Ja;Choe, Bo-Young;Kim, Kyung-Nam;Chung, Sung-Taek;Oh, Chang-Hyun;Lee, Hyoung-Koo;Suh, Tae-Suk
    • Proceedings of the Korean Society of Medical Physics Conference
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    • 2002.09a
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    • pp.363-364
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    • 2002
  • We describe quadrature type surface coil for functional magnetic resonance imaging at 3T MRI system. The coil consisted of two coplanar resonators and was used as both transmitter and receiver. The signal-to-noise ratio (SNR) of the coil was compared with that of a standard birdcage head coil. Visual cortex activation on normal subjects using LED flicker was performed. The SNR of surface coil was found to be better than that of the conventional head coil.

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Isogeometric Analysis of Laminated Plates under Free Vibration

  • Lee, Sang Jin
    • Architectural research
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    • v.16 no.3
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    • pp.121-129
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    • 2014
  • A plate element is developed by using isogeometric approach in order to determine natural frequencies of laminated composite plates. Reissner-Mindlin (RM) assumptions is adopted to consider the shear deformation and rotatory inertia effect. All terms required in isogeometric element formulation are consistently derived by using Non-uniform rational B-spline surface (NURBS) definition. Gauss quadrature rule is used to form the element stiffness matrix and separately Lobatto quadrature rule is used to calculate element mass matrix. The capability of the present plate element is demonstrated by using numerical examples. From numerical tests, the present isogeometric element produces reliable numerical results for both thin and thick plate situations.

The FPGA Implementation of Wavelet Transform Chip using Daubechies′4 Tap Filter for DSP Application

  • Jeong, Chang-Soo;Kim, Nam-Young
    • Proceedings of the IEEK Conference
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    • 1999.11a
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    • pp.376-379
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    • 1999
  • The wavelet transform chip is implemented with Daubechies' 4 tap filter. It works at 20MHz in Field Programmable Gate array (FPGA) implementation of Quadrature Mirror Filter(QMF) Lattice Structure. In this paper, the structure contains taro-channel quadrature mirror filter, data format converter(DFC), delay control unit(DCU), and three 20$\times$8 bits real multiplier. The structures for the DFC and DCU need to he regular and scalable, require minimum number of regular, and thereby lead to an efficient and scalable architecture for the Discrete Wavelet Transform(DWT). These results present the possibility that it can be used in Digital Signal Processing(DSP) application faster than Fourier transform at small area with lour cost.

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Study on Nonlinear Filter Using Unscented Transformation Update (무향변환을 이용한 비선형 필터에 대한 연구)

  • Yoon, Jangho
    • Journal of Aerospace System Engineering
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    • v.10 no.1
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    • pp.15-20
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    • 2016
  • The optimal estimation of a general continuous-discrete system can be achieved through the solution of the Fokker-Planck equation and the Bayesian update. Due the high nonlinearity of the equation of motion of the system and the measurement model, it is necessary to linearize the both equation. To avoid linearization, the filter based on Fokker-Planck equation is designed. with the unscented transformation update mechanism, in which the associated Fokker-Planck equation was solved efficiently and accurately via discrete quadrature and the measurement update was done through the unscented transformation update mechanism. This filter based on the Direct Quadrature Moment of Method(DQMOM) and the unscented transformation update is applied to the bearing only target tracking problem. The proposed filter can still provide more accurate estimation of the state than those of the extended Kalman filter especially when measurements are sparse. Simulation results indicate that the advantages of the proposed filter based on the DQMOM and the unscented transformation update make it a promising alternative to the extended Kalman filter.

Loop-loop EM inversion and its applicability to subsurface exploration

  • Sasaki, Yutaka
    • 한국지구물리탐사학회:학술대회논문집
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    • 2006.06a
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    • pp.3-6
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    • 2006
  • There are three types of frequency-domain loop-loop EM induction method, depending on the loop separation and their location relative to the ground surface: horizontal-loop EM (HLEM), fixed small-loop EM, and helicopter-borne EM (HEM) methods. Multidimensional inversion provides tomographic images of the subsurface resistivity structure and thus enhances the interpretational accuracy of loop-loop EM data. HLEM method is shown to be effective for exploring groundwater resources in weathered and fractured crystalline basement terrains in semi-arid regions. Also, HEM method is useful for locating weak zones in landslide areas. The applicability of inversion to small-loop EM data depends solely on the S/N ratio. The quadrature response of small-loop EM data can only give the equivalent conductivity of a homogenous half-space model, and thus the in-phase component is essential in inverting EM data. However, the in-phase response is much lower and decreases more rapidly with decreasing frequency than the quadrature response. Further work is needed to obtain conductivity-depth images from small-loop EM data.

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Comparison of Hierarchical and Marginal Likelihood Estimators for Binary Outcomes

  • Yun, Sung-Cheol;Lee, Young-Jo;Ha, Il-Do;Kang, Wee-Chang
    • Proceedings of the Korean Statistical Society Conference
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    • 2003.05a
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    • pp.79-84
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    • 2003
  • Likelihood estimation in random-effect models is often complicated because the marginal likelihood involves an analytically intractable integral. Numerical integration such as Gauss-Hermite quadrature is an option, but is generally not recommended when the dimensionality of the integral is high. An alternative is the use of hierarchical likelihood, which avoids such burdensome numerical integration. These two approaches for fitting binary data are compared and the advantages of using the hierarchical likelihood are discussed. Random-effect models for binary outcomes and for bivariate binary-continuous outcomes are considered.

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A HIGHER ORDER NUMERICAL SCHEME FOR SINGULARLY PERTURBED BURGER-HUXLEY EQUATION

  • Jiwrai, Ram;Mittal, R.C.
    • Journal of applied mathematics & informatics
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    • v.29 no.3_4
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    • pp.813-829
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    • 2011
  • In this article, we present a numerical scheme for solving singularly perturbed (i.e. highest -order derivative term multiplied by small parameter) Burgers-Huxley equation with appropriate initial and boundary conditions. Most of the traditional methods fail to capture the effect of layer behavior when small parameter tends to zero. The presence of perturbation parameter and nonlinearity in the problem leads to severe difficulties in the solution approximation. To overcome such difficulties the present numerical scheme is constructed. In construction of the numerical scheme, the first step is the dicretization of the time variable using forward difference formula with constant step length. Then, the resulting non linear singularly perturbed semidiscrete problem is linearized using quasi-linearization process. Finally, differential quadrature method is used for space discretization. The error estimate and convergence of the numerical scheme is discussed. A set of numerical experiment is carried out in support of the developed scheme.

A Stabilization System of EFPI for Damage Detection of Composites (복합재료 파손 검출을 위한 EFPI 센서 안정화 시스템)

  • 김대현;구본용;방형준;김천곤;홍창선
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2003.04a
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    • pp.22-26
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    • 2003
  • EFPI (extrinsic Fabry-Perot interferometer) 센서를 이용해 복합재료의 파손 신호를 취득하기 위해서는 파손 신호에 비해 상대적으로 낮은 주파수의 열적, 기계적 정적 변형에 의해 발생하는 위상 변화를 보상해 주는 기술이 필요하다. 또한 센서의 민감도를 최적화하기 위해 출력 신호의 위상을 Quadrature 지점에 유지시켜야 한다. 본 논문에서는 EFPI 센서 시스템의 출력 신호위상을 일정하게 유지시킬 수 있는 안정화 제어 시스템을 개발하였다. 안정화 제어 시스템은 광대역 파장 레이저 광원, 가변 F-P (Fabry-Perot) 필터 그리고 필터를 제어한 수 있는 전자 회로시스템으로 구성하였다. 개발된 시스템의 위상 제어 성능을 평가하기 위해 복합재료 시편의 인장 실험을 수행하여 인장 변형에 의해 발생하는 위상 변화를 개발된 시스템을 이용해 Quadrature 지점에 일정하게 유지할 수 있음을 보였다. 또한 연필심 파손 실험을 통해 개발된 시스템이 파손 신호를 잘 취득할 수 있음을 확인하였다.

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Dual-Domain Connection Scheme for HE-AAC and MPEG Surround

  • Pang, Hee-Suk
    • The Journal of the Acoustical Society of Korea
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    • v.28 no.1E
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    • pp.29-34
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    • 2009
  • MPEG4 High Efficiency Advanced Audio Coding (HE-AAC) and MPEG Surround are one of the most efficient combinations for low bit rate multi-channel audio coding. Based on the fact that these two codecs have identical quadrature mirror filter (QMF) analysis and synthesis structures, we propose a dual-domain connection scheme for the codecs. Specifically two time-domain connection methods are analyzed and compared to the QMF subband-domain connection method. Experimental results show that both the time-domain connection methods cause no subjective sound quality degradation compared to the QMF subband-domain connection method, which verifies that one can select either of them depending on application scenarios.