• Title/Summary/Keyword: Sinusoidal function

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Dynamic Modulation Transfer Function Analysis of Images Blurred by Sinusoidal Vibration

  • Du, Yanlu;Ding, Yalin;Xu, Yongsen;Sun, Chongshang
    • Journal of the Optical Society of Korea
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    • v.20 no.6
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    • pp.762-769
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    • 2016
  • The dynamic modulation transfer function (MTF) for image degradation caused by sinusoidal vibration is formulated based on a Bessel function of the first kind. The presented method makes it possible to obtain an analytical MTF expression derived for arbitrary frequency sinusoidal vibration. The error obtained by the use of finite order sum approximations instead of infinite sums is investigated in detail. Dynamic MTF exhibits a stronger random behavior for low frequency vibration than high frequency vibration. The calculated MTFs agree well with the measured MTFs with the slant edge method in imaging experiments. With the proposed formula, allowable amplitudes of any frequency vibration are easily calculated. This is practical for the analysis and design of the line-of-sight stabilization system in the remote sensing camera.

Implementation of Sinusoidal Rotatory Chair System with Fuzzy Rule Base (Fuzzy Rule Base에 의한 Sinusoidal Rotatory Chair System의 구현)

  • Cha, In-Su;Park, Hae-Am;Baek, Hyung-Lae
    • Proceedings of the KIEE Conference
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    • 1994.07a
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    • pp.582-584
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    • 1994
  • A sinusoidal rotatory chair system using a self-tuning and following control by a fuzzy was designed to evaluate the vestibular function and to apply to a robot driving power system. The experimental results by the sinusoidal rotatory chair system were pretty good and whitch had smaller then ${\pm}210$ pulse error on the ${\pm}810^{\circ}$ sinusoidal rotation at 0.12 Hz by using a 850W DC servo motor. As a results, the sinusoidal rotatory chair system may be useful to evaluate the vestibular function in the field of medicine, and it can be used to robotics or a numerical control system (NC) on the industry if the the obtained control method and the system are adapted for a channel.

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Development of Simulator for Evaluation Balance by Using Vestibuloocular Reflex (전정안구반사를 이용한 평형감각 평가용 시뮬레이터의 개발)

  • 임승관;김규겸;정호춘;진달복;김민선;박병림
    • Proceedings of the Korean Society for Emotion and Sensibility Conference
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    • 1997.11a
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    • pp.157-162
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    • 1997
  • The purpose of this study was to develop a sinusoidal rotatory chair systim for evaluating the vestibular function in patients suffered from vertigo with vestibualr disorders. The sinusoidal rotatory chair system is composed of a rotatory chair systim and softwares. Maximum velocity of the rotatiry chair was upto 60 degree per second and frequency range was 0.01 to 0.64 Hz. To evaluate the vestibular function in vertigo patients, vestibuloocular reflex was measured by sinusoidal rotation of the whole body about vertical axis in the darkness, and optokinetic nystagmus, visual vestibuloocular reflex , and visual supression test were also performed. Eye movement was measured by means of a electronystgmograph amplifier through Ag-AgCI surface electrodes. Gain, phase, and symmetry were obtained from analysis of the eye movement ineuced by vestibular or visual stimulation. In healthy adults, sinusoidal rotation of the shole body produced nystagmus, of which gain was directly proportional to the velocity of stimulation. The gain of visual vestibuloocular reflex or optokinetic nystagmus, and it was suppressed markedly by visual suppression test. These results suggest that the sinusoieal rotatory chair systim which was developed by this study can evaluate the vestibular function quantitatively, also this system is very useful to diagnose and to dstimate the vestibualr function during recovery from vertigo

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Elastic rotational restraint of web-post in cellular beams with sinusoidal openings

  • Durif, Sebastien;Bouchair, Abdelhamid;Bacconnet, Claude
    • Steel and Composite Structures
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    • v.18 no.2
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    • pp.325-344
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    • 2015
  • Experimental tests on cellular beams with sinusoidal openings showed two main failure modes around the openings. They concern the formation of four plastic hinges and the local instability of the sinusoidal part of the opening. In parallel, numerical analysis of the sinusoidal part of the opening revealed the existence of an elastic rotational restraint between the intermediate web-post and the adjacent opening panel. The aim of the present study is to present an approach to quantify this rotational restraint. Through the response surface method, a mathematical model is proposed. It shows a great ability to predict the rotational restraint value as a function of the geometrical parameters of the opening. This model can be used to perform an extensive study with various geometrical configurations of beams with the aim to develop a reliable and realistic analytical model predicting the resistance of the sinusoidal openings.

Sequence generation and measuring threshold of audio watermarking using sinusoidal function pattern (Sinusoidal Function Pattern을 이용한 오디오 워터마킹의 시퀀스 생성 및 Threshold 설정 방안)

  • 김태훈;김형중
    • Proceedings of the IEEK Conference
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    • 2003.11b
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    • pp.87-90
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    • 2003
  • 본 논문에서는 정현파를 이용한 spread-spectrum watermarking 에서 비가청성을 높이기 위한 방법과 효율적인 threshold 설정 방법을 제안한다. 제안하는 방법에서는 spread-spectrum 기법을 사용할 때 계산량이 많이 요구되는 심리음향모델 계산을 피하면서도 가청잡음을 줄이기 위한 방법을 제시한다. 또한 outlier 를 이용하여 워터마크 검출에서 적절한 threshold 설정방법을 제안한다.

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A Study of Motion for Four-Axis Stabilized Platform Including Effects of Gimbal Bearing Friction (김벌 베어링 마찰의 영향을 고려한 4축 안정화 플랫폼의 운동에 관한 연구)

  • Shin, Y.J.;Cho, K.R.;Lee, J.K.;Cho, S.;Choi, S.
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.6
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    • pp.52-63
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    • 1995
  • This paper presents a detailed derivation of the equations of motion for the stable member of a four-axis platform. Gimbal bearing friction is considered for motion analysis. First, dynamic characteristics of platform, gimbal and gyro with Coulomb friction are studied due to vehicle's angular motion. Second, Vehicle's motion is assumed the sinusoidal function and dynamic characteristics of platform, gimbal and gyro are studied. Conclusively, considering effects of Coulomb friction, they could not follow the vehicle's angular motion and have constant errors. In case of sinusoidal motion, relative angles for each gimbal are amplified, but they are sinusoidal function with almost the same phases.

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Modification of the Cubic law for a Sinusoidal Aperture using Perturbation Approximation of the Steady-state Navier-Stokes Equations (섭동 이론을 이용한 정상류 Navier-Stokes 방정식의 주기함수 간극에 대한 삼승 법칙의 수정)

  • 이승도
    • Tunnel and Underground Space
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    • v.13 no.5
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    • pp.389-396
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    • 2003
  • It is shown that the cubic law can be modified regarding the steady-state Navier-Stokes equations by using perturbation approximation method for a sinusoidal aperture variation. In order to adopt the perturbation theory, the sinusoidal function needs to be non-dimensionalized for the amplitude and wavelength. Then, the steady-state Navier-Stokes equations can be solved by expanding the non-dimensionalized stream function with respect to the small value of the parameter (the ratio of the mean aperture to the wavelength), together with the continuity equation. From the approximate solution of the Navier-Stokes equations, the basic cubic law is successfully modified for the steady-state condition and a sinusoidal aperture variation. A finite difference method is adopted to calculate the pressure within a fracture model, and the results of numerical experiments show the accuracy and applicability of the modified cubic law. As a result, it is noted that the modified cubic law, suggested in this study, will be used for the analysis of fluid flow through aperture geometry of sinusoidal distributions.

An Algorithm for Discontinuous Surface Profile Measurement using Wavelength Scanning Interferometer (파장 주사 간섭계를 이용한 불연속면의 표면 형상 측정 알고리즘)

  • 우현구;강철무;조형석
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.7
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    • pp.507-514
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    • 2003
  • Inspection and shape measurement of three-dimensional objects are widely needed in industries for quality monitoring and control. Recently the shape measurement using interferometric principle is found to be a successful methodology among other visual or optical technologies. Especially, the measuring method using wavelength scanning interferometer(WSI) has a great advantage in comparison with other conventional jnterferometric methods in that the absolute distance from the reference surface can be directly obtained from the amount of jnterferometric phase change. However, the measurement methods using WSI proposed by other researchers have low measurement resolution so far because they can't measure fractional phase change. To avoid this shortcoming we propose a new algorithm in this paper, which can obtain a small amount of even fractional phase change by sinusoidal function fitting. To evaluate the effectiveness of the proposed sinusoidal function fitting algorithm, a series of measuring experiments are conducted for discontinuously shaped specimens which have various height. The proposed algorithm shows much more enhanced measurement resolution than other existing conventional algorithms such as zero crossing algorithm and Fourier transform algorithm.

Robust Control for the Rewritable Optical Disk Drives with Sinusoidal Disturbance of Uncertain Frequencies (불확실한 주파수의 정현파 외란이 있는 기록형 광 디스크 드라이브의 강인 제어)

  • Lee, Moon-Noh;Jin, Kyoung-Bog;Moon, Jung-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.8
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    • pp.682-690
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    • 2002
  • This paper presents an output feedback controller design method for uncertain linear systems with sinusoidal disturbance of uncertain frequencies. The controller needs to compensate for the performance deterioration due to the uncertain frequencies of sinusoidal disturbance. To this end, we introduce a virtual system including the dynamics corresponding to the uncertain frequencies and design a controller which minimizes the output difference between the virtual system and the closed-loop system. In other words, the controller is designed so that the closed-loop system approximates the virtual system. The feedback controller is achieved by solving an LMI optimization problem involving a robust $H_{\infty}$ constraint. The advantages of the proposed design method are examined by comparing it with a design method that only minimizes the $H_{\infty}$ norm of the transfer function between the sinusoidal disturbance and the output. The proposed design method is applied to the track-following system of rewritable optical disk drives and is evaluated through an experiment.

Mapping Control Function for High Power Factor Cycloconverter (고역률 사이크로 컨버터의 매핑함수제어)

  • 김광태
    • Proceedings of the KIPE Conference
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    • 2000.07a
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    • pp.237-240
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    • 2000
  • A new control method using average comparison strategy have been proposed in this paper. This control method realizes sinusoidal input and output current. unity input displacement factor regardless of load power factor. Moreover compensation of the asymmetrical and harmonic containing input voltage is sautomatically realized and calculation time of control function is reduced.

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