• 제목/요약/키워드: Sinusoidal Function

검색결과 235건 처리시간 0.025초

Adaptable Center Detection of a Laser Line with a Normalization Approach using Hessian-matrix Eigenvalues

  • Xu, Guan;Sun, Lina;Li, Xiaotao;Su, Jian;Hao, Zhaobing;Lu, Xue
    • Journal of the Optical Society of Korea
    • /
    • 제18권4호
    • /
    • pp.317-329
    • /
    • 2014
  • In vision measurement systems based on structured light, the key point of detection precision is to determine accurately the central position of the projected laser line in the image. The purpose of this research is to extract laser line centers based on a decision function generated to distinguish the real centers from candidate points with a high recognition rate. First, preprocessing of an image adopting a difference image method is conducted to realize image segmentation of the laser line. Second, the feature points in an integral pixel level are selected as the initiating light line centers by the eigenvalues of the Hessian matrix. Third, according to the light intensity distribution of a laser line obeying a Gaussian distribution in transverse section and a constant distribution in longitudinal section, a normalized model of Hessian matrix eigenvalues for the candidate centers of the laser line is presented to balance reasonably the two eigenvalues that indicate the variation tendencies of the second-order partial derivatives of the Gaussian function and constant function, respectively. The proposed model integrates a Gaussian recognition function and a sinusoidal recognition function. The Gaussian recognition function estimates the characteristic that one eigenvalue approaches zero, and enhances the sensitivity of the decision function to that characteristic, which corresponds to the longitudinal direction of the laser line. The sinusoidal recognition function evaluates the feature that the other eigenvalue is negative with a large absolute value, making the decision function more sensitive to that feature, which is related to the transverse direction of the laser line. In the proposed model the decision function is weighted for higher values to the real centers synthetically, considering the properties in the longitudinal and transverse directions of the laser line. Moreover, this method provides a decision value from 0 to 1 for arbitrary candidate centers, which yields a normalized measure for different laser lines in different images. The normalized results of pixels close to 1 are determined to be the real centers by progressive scanning of the image columns. Finally, the zero point of a second-order Taylor expansion in the eigenvector's direction is employed to refine further the extraction results of the central points at the subpixel level. The experimental results show that the method based on this normalization model accurately extracts the coordinates of laser line centers and obtains a higher recognition rate in two group experiments.

Stochastic Analysis of Self-sustained Oscillation Loop for a Resonant Accelerometer

  • Hyun, Chul;Lee, Jang-Gyu;Kang, Tae-Sam;Sung, Sang-Kyung
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2004년도 ICCAS
    • /
    • pp.574-578
    • /
    • 2004
  • In this paper, a nonlinear feedback system is analyzed for a surface micromachined resonant accelerometer. For this, a brief illustration of the plant dynamics is given. In the analysis, the periodic signal in the nonlinear feedback loop is obtained by the limit cycle point, which is best approximated via the describing function method. Considering the characteristic feature of plant dynamics, a simple phase shifted relay with finite slope is designed for the nonlinearity implementation. With a describing function for random plus sinusoidal input, we analyzed the effect of a white Gaussian noise on oscillation frequency. Finally, simulation and experimental result is given.

  • PDF

승압형 AC/DC 전력 변환기의 해석 (Analysis of Step-up AC/DC Converter)

  • 박상영;박인규;강영석;박종근
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 1990년도 추계학술대회 논문집 학회본부
    • /
    • pp.340-343
    • /
    • 1990
  • Recently, Power Electronics system increase makes harmonics and low input power factor problem. In this paper present new analysis method of PWM Boost AC/DC Converter. This PWM AC/DC Converter is capability of unity power factor, control of DC side voltage level, generation, and near sinusoidal current in 3-phase line. The control of this type of converter is widely discussed. And this paper propose new phase convert function and analysis in steady state of system to obtain amplitude and phaser of switching function. This switching function is general solution and it can use in high power approach. And this control method show the clear meaning of control variable. This paper propose new analysis method of Boost AC/DC Converter of steady state and 3-phase 2KW experimental system show its validity.

  • PDF

Dynamic System Analysis of Machine Tool Spindles with Magnet Coupling

  • Kim, Seong-Keol
    • International Journal of Precision Engineering and Manufacturing
    • /
    • 제3권4호
    • /
    • pp.87-93
    • /
    • 2002
  • In this study, basic concepts of magnet were introduced, and dynamic characteristics of magnet coupling were explored. Based on these characteristics, it was proposed how to analyze transverse and torsional vibrations of a spindle system with magnet coupling. Proposed theoretical approaches were applied to a precision power transmission system machined for this study, and the transverse and torsional vibrations were simulated. The force on magnet coupling was shown as a form of nonlinear function of the gap and the eccentricity. Also, the form of torque transmitted by magnet coupling was considered as a sinusoidal function. Main spindle connected to a coupling of a follower part was assumed to be a rigid body. Nonlinear partial differential equation was derived to be as a function of angular displacement. By using the equation, torsional vibration analysis of a spindle system with magnet coupling was performed. Free and forced vibration analyses of a spindle system with magnetic coupling were explored by using FEM.

A Single-Chip CMOS Digitally Synthesized 0-35 MHz Agile Function Generator

  • Meenakarn, C.;Thanachayanont, A.
    • 대한전자공학회:학술대회논문집
    • /
    • 대한전자공학회 2002년도 ITC-CSCC -3
    • /
    • pp.1984-1987
    • /
    • 2002
  • This paper describes the design and implementation of a single-chip digitally synthesized 0-35MHz agile function generator. The chip comprises an integrated direct digital synthesizer (DDS) with a 10-bit on- chip digital-to-analog converter (DAC) using an n-well single-poly triple-metal 0.5-$\mu\textrm{m}$ CMOS technology. The main features of the chip include maximum clock frequency of 100 MHz at 3.3-V supply voltage, 32-bit frequency tuning word resolution, 12-bit phase tuning word resolution, and an on-chip 10-bit DAC. The chip provides sinusoidal, ramp, saw-tooth, and random waveforms with phase and frequency modulation, and power-down function. At 100-MHz clock frequency, the chip covers a bandwidth from dc to 35 MHz in 0.0233-Hz frequency steps with 190-ns frequency switching speed. The complete chip occupies 12-mm$^2$die area and dissipates 0.4 W at 100-MHz clock frequency.

  • PDF

Radial Basis Function Neural Networks (RBFNN) and p-q Power Theory Based Harmonic Identification in Converter Waveforms

  • Almaita, Eyad K.;Asumadu, Johnson A.
    • Journal of Power Electronics
    • /
    • 제11권6호
    • /
    • pp.922-930
    • /
    • 2011
  • In this paper, two radial basis function neural networks (RBFNNs) are used to dynamically identify harmonics content in converter waveforms based on the p-q (real power-imaginary power) theory. The converter waveforms are analyzed and the types of harmonic content are identified over a wide operating range. Constant power and sinusoidal current compensation strategies are investigated in this paper. The RBFNN filtering training algorithm is based on a systematic and computationally efficient training method called the hybrid learning method. In this new methodology, the RBFNN is combined with the p-q theory to extract the harmonics content in converter waveforms. The small size and the robustness of the resulting network models reflect the effectiveness of the algorithm. The analysis is verified using MATLAB simulations.

주기적으로 불균일한 원형막대에서 전파하는 비틂 탄성파 (Torsional Elastic Waves Propagating in a Periodically-Nonuniform Circular Rod)

  • 김진오
    • 한국음향학회:학술대회논문집
    • /
    • 한국음향학회 1998년도 학술발표대회 논문집 제17권 1호
    • /
    • pp.323-326
    • /
    • 1998
  • The paper describes a theoretical and experimental study on the speed of the torsional elastic waves propagating in an axisymmetirc waveguide whose cross-sectional area varies periodically as an harmonic function of the axial coordinate. The approximate solution of the phase speed has been obtained using the perturbation technique for sinusoidal modulation of small amplitude. The experiment verifying the theoretical result consists of transmitting and receiving torsional waves by magnetostriction and measuring the wave speed in the waveguides with threaded surfaces.

  • PDF

고분해능의 주파수 추정 알고리즘 개발 (High Resolution Frequency Estimation of Real Sinusoids)

  • 서인용
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2003년도 추계학술대회 논문집 전기물성,응용부문
    • /
    • pp.279-282
    • /
    • 2003
  • In this paper, we propose a new high resolution frequency estimator for real sinusoids by using short time data and the AWLS/MFT (Adaptive Weighted Least Squares/ Modulation Function Technique) algorithm. Monte-Carlo simulations verify better performances of the proposed frequency estimator and demonstrate that the proposed AWLS sinusoidal estimator is a high resolution estimator.

  • PDF

회전 속도 Vector 계측을 위한 공간필터 검출기의 개발 (A Development of SFD for the measurement of rotational velocity vector)

  • 고현민;노도환
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 1999년도 추계학술대회 논문집 학회본부 B
    • /
    • pp.621-624
    • /
    • 1999
  • In this paper, we propose the non-contact method to measure rotational speed vector using spatial filtering method. The rotational speed $\omega$ is known by the frequency of output sinusoidal signal direct proportional to that and the rotational direction is given by the phase delay from the weighting function design of spatial filter.

  • PDF

외란을 받는 저널 베어링의 비선형 주파수 응답해석 (Nonlinear Frequency Response Analysis of Hydrodynamic Journal Bearing Under External Disturbance)

  • 노병후;김경웅
    • 한국윤활학회:학술대회논문집
    • /
    • 한국윤활학회 1998년도 제27회 춘계학술대회
    • /
    • pp.241-245
    • /
    • 1998
  • The traditional approach is to characterize the behavior and performance of fluid film hydrodynamic journal bearings by means of linearized bearing analysis. The objective of this paper is to examine the nonlinear characteristics of the journal bearing when an external sinusoidal shock is given to the system. The oil film force is obtained by solving the finite width Reynolds equation at each time step by the solution of the column method. Frequency response functions obtained from both linear and nonlinear bearing simulations are compared with each other.

  • PDF