• Title/Summary/Keyword: 계단함수

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해법의 가지가지

  • 이면영
    • 전기의세계
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    • v.11
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    • pp.49-54
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    • 1963
  • 저항과 용량을 접속한 사단자망(Two-terminal pair netowrk)을 RC 저역노파기(Low-pass filter)라고 통칭하지만 그 응용면에 따라 여러가지로 사용할 것이다. 예컨데 잡음위(Noise level)의 감소를 목적으로 증폭기단간에 압입하는 경우도 있을 것이고, 또 자동제어장치로서 누상보상요소(lag compensation network)로 사용할 수도 있을 것이다. 요컨대 여기서는 그 사용면을 따지는 것보다도 가령 입력신호(Input signal) x(t)가 일정한 진폭을 가진 계단함수(Step function), i.e.x(t)=Eu(t)를 이 노파기에 인가할 때 출력신호(Output signal) y(t)의 결과를 따져보자는 것이다. 물론 이용면의 요구여부에 따라 또 해석자의 지식척도에 따라 여러갈레의 해법이 나올 것이다. 그러므로 이 회로의 해석법을 아는데로 사례해보기로 한다.

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Thermal Impedance measurement of Semiconductor Device with Thermal Pulse (Thermal pulse를 이용한 반도체 소자의 thermal impedance 측정법)

  • Seo, Kil-Soo;Kim, Ki-Hyun;Bahng, Wook;Kim, Sang-Cheul;Kim, Nam-Kyun;Kim, Eun-Dong
    • Proceedings of the KIEE Conference
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    • 2005.07c
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    • pp.1977-1979
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    • 2005
  • 열저항 측정법에는 정상상태보다는 과도응답 특성을 이용하는 것이 우수한 것으로 20년부터 알려져 왔다. 온도를 시간의 함수로 나타내는 열적 계단응답함수를 이용하면 칩에서 주위 분위기, 냉각장치 또는 마운트를 포함한 열 임피던스를 측정할 수 있다. 소자 접합부의 열적 동특성을 측정함으로써 칩 주변의 기하학적 물질에 대한 특성을 파악할 수 있으며 나아가 측정으로부터 소자의 열적 구조를 유추할 수 있다. 본 논문에서는 열적 계단응답 특성을 이용한 열 임피던스 측정이론 및 원리에 대해서 개관하였다.

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Optimum Condition of Mobile Phase Composition for Purine Compounds by HCI Program (HCI프로그램을 이용한 퓨린 유도체의 이동상 조성의 최적화 조건)

  • Jin, Chun Hua;Lee, Ju Weon;Row, Kyung Ho
    • Applied Chemistry for Engineering
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    • v.17 no.3
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    • pp.317-320
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    • 2006
  • The optimum mobile phase condition for analysis of the six purine derivatives (caffeine, guanine, hypoxanthine, purine, theobromine, and theophylline) were determined by a HCI program. Reversed-phase HPLC system was used with the binary mobile phase, water and methanol. Three retention models (Snyder, Langmuir, and Binary polynomial) were considered to predict the retention factors. The elution profiles were calculated by the plate theory based on the binary polynomial retention model. From the final calculated results, the binary polynomial retention model showed the best agreements between the calculated and experimental data. In the isocratic mode, the optimum mobile phase composition of water/methanol is 93/7(v/v). However, we used step-gradient mode to decrease the run-time ($1^{st}$ mobile phase : water/methanol = 93/7 (v/v), gradient time : 5 min, $2^{nd}$ mobile phase : water/methanol = 75/25 (v/v)). The experimental and simulated profiles of above the two conditions show a good agreement.

Computation of Wave Transformation over a Multi-Step Topography by a Scatterer Method (산란체법에 의한 다중 계단지형에서의 파랑변형 계산)

  • Seo, Seung-Nam
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.20 no.5
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    • pp.439-451
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    • 2008
  • Based on reflected and transmitted waves by a single step bottom, a new model of scatterer method is constructed which can be used to calculate wave transformation over a multi-step topography. The approximate results are tested by comparison with the more accurate results obtained from EFEM presented by Kirby and Dalrymple(1983). In the case of plane-wave approximation, solutions of the scatterer method and the EFEM are the same. Results obtained by the scatterer method with non-propagating modes are much better, in terms of phase for the calculated reflection and transmission coefficients, than those by plane-wave approximation. As the effect of non-propagating modes decreases, solutions of the scatterer method become closer to those of the EFEM.

제어봉 낙하 반응도 측정에서 중성자원, 감마, 중성자 분포 함수의 복합적인 영향 분석

  • 전병진;박상준;이지복
    • Proceedings of the Korean Nuclear Society Conference
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    • 1997.10a
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    • pp.251-258
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    • 1997
  • 임계 근처에서 반응도 미터로 계단식 반응도 변화를 측정할 때는 중성자원과 감마의 영향 하에서도 정확한 반응도를 결정할 수 있으며, 중성자원과 감마를 측정할 수도 있다. 중성자원과 감마의 영향은 없으나 중성자 분포 함수만 변하는 경우에는 계산으로 예측한 분포 함수의 변화로 측정된 중성자 신호를 보정하여 반응도를 예측할 수 있다. 그러나 중성자원, 감마, 분포 함수가 복합적으로 작용하는 경우에 대하여는 이러한 방법을 적용할 수 없다. 이 매 중성자원과 감마의 영향만 있는 경우에 적용하는 방법을 쓰면 분포 함수의 변화가 측정 결과에 어떤 영향을 미치는지 분석하였다. 그 결과 분포 함수의 변화도 어느 정도 측정이 가능하며, 계산으로 예측하는 분포 함수의 변화로 측정 결과를 단순 보정하여 실제 반응도를 예측할 수 있는 것으로 나타났다.

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Extended MLS Difference Method for Potential Problem with Weak and Strong Discontinuities (복합 불연속면을 갖는 포텐셜 문제 해석을 위한 확장된 MLS 차분법)

  • Yoon, Young-Cheol;Noh, Hyuk-Chun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.24 no.5
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    • pp.577-588
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    • 2011
  • This paper provides a novel extended Moving Least Squares(MLS) difference method for the potential problem with weak and strong discontinuities. The conventional MLS difference method is enhanced with jump functions such as step function, wedge function and scissors function to model discontinuities in the solution and the derivative fields. When discretizing the governing equations, additional unknowns are not yielded because the jump functions are decided from the known interface condition. The Poisson type PDE's are discretized by the difference equations constructed on nodes. The system of equations built up by assembling the difference equations are directly solved, which is very efficient. Numerical examples show the excellence of the proposed numerical method. The method is expected to be applied to various discontinuity related problems such as crack problem, moving boundary problem and interaction problems.

No-reference objective quality assessment of image using blur and blocking metric (블러링과 블록킹 수치를 이용한 영상의 무기준법 객관적 화질 평가)

  • Jeong, Tae-Uk;Kim, Young-Hie;Lee, Chul-Hee
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.46 no.3
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    • pp.96-104
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    • 2009
  • In this paper, we propose a no-reference objective Quality assessment metrics of image. The blockiness and blurring of edge areas which are sensitive to the human visual system are modeled as step functions. Blocking and blur metrics are obtained by estimating local visibility of blockiness and edge width, For the blocking metric, horizontal and vertical blocking lines are first determined by accumulating weighted differences of adjacent pixels and then the local visibility of blockiness at the intersection of blocking lines is obtained from the total difference of amplitudes of the 2-D step function which is modelled as a blocking region. The blurred input image is first re-blurred by a Gaussian blur kernel and an edge mask image is generated. In edge blocks, the local edge width is calculated from four directional projections (horizontal, vertical and two diagonal directions) using local extrema positions. In addition, the kurtosis and SSIM are used to compute the blur metric. The final no-reference objective metric is computed after those values are combined using an appropriate function. Experimental results show that the proposed objective metrics are highly correlated to the subjective data.

Vertical Evacuation Speed in Stairwell of a High-rise Office Building (업무용 고층건물 계단실의 보행속도에 관한 연구)

  • Joung, Suck-Hwan;Yoon, Myong-Oh
    • Fire Science and Engineering
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    • v.29 no.3
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    • pp.13-20
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    • 2015
  • As building height is increased, more careful decisions about the required safe egress time is needed for evacuation. This study analyzed the influence of three training sessions on the vertical speed of evacuation in the high rise building. Evacuation experiments were done in a high-rise office building in Seoul, and we analyzed the vertical evacuation speed as a function of density using a camera. Controlled and uncontrolled total evacuation were compared using the Pathfinder simulation. The process of repeated training, changed the specific stair utilization rate from 6.3% to 39.5%. The vertical evacuation speed as a function of density was analyzed using the equation s = 1.004 ? 0.288D, which is very similar to the equation used in a different study. The total evacuation time of the special controlled total evacuation was reduced by about 25% compared to the simultaneous evacuation.

Optimal Capacitor Placement and Operation for Loss Minimzation and Improvement of Voltage Profile in Distribution System (배전계통의 손실감소 및 전압 보상을 위한 커패시터 최적 배치 및 운용)

  • 송현선
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.13 no.3
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    • pp.48-55
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    • 1999
  • Ths paper presents an optimization method which determines locations and size of capacitors simultaneously while minimizing power losses and improving voltage profile in radial distribution systems. Especially, the cost function associated with capacitor pla.cerrent is considered as step function due to banks of standard discrete capacities. Genetic algorithms(GA) are used to obtain efficiently the solution of the cost function associated with capacitors which is non-continuous and non-differentiable function. The strings in GA consist of the node nwnber index and size of capacitors to be installed. The length mutation operator, which is able to change the length of strings in each generation, is used. The proposed Jrethod which determines locations and size of capacitors simultaneously can reduce power losses and improve voltage proftle with capacitors of minimum size. Its efficiency is proved through the arolication in radial distribution systems.ystems.

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Effects of Prandtl Numbers on Heat Transfer of Backward-Facing Step Laminar Flow with a Pulsating Inlet (입구유동 가진이 있는 층류 후향계단 유동에서 열전달에 대한 프란틀수 효과해석)

  • Kim, Won-Hyun;Park, Tae-Seon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.36 no.9
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    • pp.923-930
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    • 2012
  • The wall heat transfer of backward-facing step laminar flows with different Prandtl numbers and a pulsating inlet is investigated by unsteady simulations. The inlet is perturbed by the variation of frequency and amplitude. Temperature-dependent transport properties are adopted. Various characteristics of the wall heat transfer are explained by the variation of the thermal boundary layer. For Pr < 1, the wall heat transfer of temperature-dependent properties is decreased compared to that of constant properties, whereas it increases for Pr < 1. In addition, the wall heat transfer increases depending on the pulsating amplitude. However, the results of frequency variation for St < 0.2 show that the heat transfer is strongly enhanced at a specific frequency. In particular, the increase in the wall heat transfer is strongly related to the root mean square of the fluctuations of the reattachment length.