• 제목/요약/키워드: time function

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Time Dependent Correlation Function과 그의 응용에 관한 연구 (Some Study on Time Dependent Correlation Function and Its Applications)

  • 안수길
    • 대한전자공학회논문지
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    • 제10권6호
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    • pp.25-44
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    • 1973
  • 원인과 결과간의 위상과 work사이의 관계를 correlation function의 견지에서 검토하였고 continuous signal에 포함되어 있는 redundancy를 지적하여 sampling취급의 근거를 auto correlation면에서 보였다. 두 신호사이의 Correlation의 시간변동을 보여줄 수 있는 Time Dependent Correlation Function을 정의하여 PLL회로에서 그 유편성을 보였다. 끝으로 다상포낙선검파법에 의한 특성의 개선을 T.D.Correlation Furction에 의한 Correlation Analysis를 통하려 입증하였다.

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초광대역 Ambiguity Function에 관한 연구 (On the Ultra-Wideband Ambiguity Function)

  • 이준용
    • 한국통신학회논문지
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    • 제29권3C호
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    • pp.368-373
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    • 2004
  • 초광대역 (UWB) 신호의 정밀한 시간 해상도는 실내 환경에서의 위치추적 등, 다양한 응용을 가능하게 하는 동시에, 사간 오차에 대한 감도가 매우 높아지는 등, 시스템 설계 시 기술적 어려움을 주기도 한다. 신호의 시간 해상도를 평가하는 유용한 방법 중 하나는 신호의 ambiguity function을 평가하는 것이다. 이 논문에서는 기존의 ambiguity function과는 달리 시간 오차와 시간 스케일링 인자를 두 변수로 하여 펄스 방식의 UWB 신호를 위한 ambiguity function을 정의하였고, 임펄스 라디오 (impulse radio)의 송수신 방식에 따른 UWB ambiguity function을 평가하여 시스템의 타이밍과 관련된 이슈들을 논하였다.

THE SPACE-TIME FRACTIONAL DIFFUSION EQUATION WITH CAPUTO DERIVATIVES

  • HUANG F.;LIU F.
    • Journal of applied mathematics & informatics
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    • 제19권1_2호
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    • pp.179-190
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    • 2005
  • We deal with the Cauchy problem for the space-time fractional diffusion equation, which is obtained from standard diffusion equation by replacing the second-order space derivative with a Caputo (or Riemann-Liouville) derivative of order ${\beta}{\in}$ (0, 2] and the first-order time derivative with Caputo derivative of order ${\beta}{\in}$ (0, 1]. The fundamental solution (Green function) for the Cauchy problem is investigated with respect to its scaling and similarity properties, starting from its Fourier-Laplace representation. We derive explicit expression of the Green function. The Green function also can be interpreted as a spatial probability density function evolving in time. We further explain the similarity property by discussing the scale-invariance of the space-time fractional diffusion equation.

FRACTIONAL GREEN FUNCTION FOR LINEAR TIME-FRACTIONAL INHOMOGENEOUS PARTIAL DIFFERENTIAL EQUATIONS IN FLUID MECHANICS

  • Momani, Shaher;Odibat, Zaid M.
    • Journal of applied mathematics & informatics
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    • 제24권1_2호
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    • pp.167-178
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    • 2007
  • This paper deals with the solutions of linear inhomogeneous time-fractional partial differential equations in applied mathematics and fluid mechanics. The fractional derivatives are described in the Caputo sense. The fractional Green function method is used to obtain solutions for time-fractional wave equation, linearized time-fractional Burgers equation, and linear time-fractional KdV equation. The new approach introduces a promising tool for solving fractional partial differential equations.

Influence of time-of-day on respiratory function in normal healthy subjects

  • Kwon, Yong Hyun
    • The Journal of Korean Physical Therapy
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    • 제25권6호
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    • pp.374-378
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    • 2013
  • Purpose: Human body have biological rhythmic pattern in a day, which is affected by internal and external environmental factors. We investigated whether respiratory function was fluctuated according to the influence of time-of-day (around at 9 am, 1 pm, and 6 pm) in health subjects, using pulmonary function test (PFT). Methods: Eighteen healthy volunteers (8 men, mean ages; $22.4{\pm}1.6$, mean heights; $166.61{\pm}9.60$, mean weight; $59.3{\pm}10.3$) were recruited. Pulmonary function test (PFT) was measured at three time points in day, around 9 am, 1 pm, and 6 pm in calm research room with condition of under 55dB noise level, using a spirometer (Vmax 229, SensorMecis, USA). Forced vital capacity (FVC), forced expiratory volume at one second (FEV1), FVC/FEV1, and peak expiratory flow (PEF) were acquired. Results: In comparison of raw value of PFT among three time points, subjects showed generally better respiratory function at 9 am, than at other points, although no significance was found. In comparison of distribution of ranking for respiratory function in each individual, only PEF showed significant difference. In general, distributional ratio of subjects who showed best performance of respiratory function in a day was high. Conclusion: These findings showed that circadian rhythm by diurnal pattern was not detected on respiratory function throughout all day. But, best performance on respiratory function was observed mostly in the morning, although statistical significance did not exist.

THE FUNDAMENTAL SOLUTION OF THE SPACE-TIME FRACTIONAL ADVECTION-DISPERSION EQUATION

  • HUANG F.;LIU F.
    • Journal of applied mathematics & informatics
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    • 제18권1_2호
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    • pp.339-350
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    • 2005
  • A space-time fractional advection-dispersion equation (ADE) is a generalization of the classical ADE in which the first-order time derivative is replaced with Caputo derivative of order $\alpha{\in}(0,1]$, and the second-order space derivative is replaced with a Riesz-Feller derivative of order $\beta{\in}0,2]$. We derive the solution of its Cauchy problem in terms of the Green functions and the representations of the Green function by applying its Fourier-Laplace transforms. The Green function also can be interpreted as a spatial probability density function (pdf) evolving in time. We do the same on another kind of space-time fractional advection-dispersion equation whose space and time derivatives both replacing with Caputo derivatives.

혼돈 시계열의 예측을 위한 Radial Basis 함수 회로망 설계 (Radial basis function network design for chaotic time series prediction)

  • 신창용;김택수;최윤호;박상희
    • 대한전기학회논문지
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    • 제45권4호
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    • pp.602-611
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    • 1996
  • In this paper, radial basis function networks with two hidden layers, which employ the K-means clustering method and the hierarchical training, are proposed for improving the short-term predictability of chaotic time series. Furthermore the recursive training method of radial basis function network using the recursive modified Gram-Schmidt algorithm is proposed for the purpose. In addition, the radial basis function networks trained by the proposed training methods are compared with the X.D. He A Lapedes's model and the radial basis function network by nonrecursive training method. Through this comparison, an improved radial basis function network for predicting chaotic time series is presented. (author). 17 refs., 8 figs., 3 tabs.

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보조벡터 머신을 이용한 시계열 예측에 관한 연구 (A study on the Time Series Prediction Using the Support Vector Machine)

  • 강환일;정요원;송영기
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.315-315
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    • 2000
  • In this paper, we perform the time series prediction using the SVM(Support Vector Machine). We make use of two different loss functions and two different kernel functions; i) Quadratic and $\varepsilon$-insensitive loss function are used; ii) GRBF(Gaussian Radial Basis Function) and ERBF(Exponential Radial Basis Function) are used. Mackey-Glass time series are used for prediction. For both cases, we compare the results by the SVM to those by ANN(Artificial Neural Network) and show the better performance by SVM than that by ANN.

Correlation Between Executive Function and Walk While Crossing Over an Obstacle Under Different Gait Phases

  • Seung Min Lee;Han Suk Lee
    • 대한치매학회지
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    • 제22권4호
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    • pp.139-147
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    • 2023
  • Background and Purpose: Dual walking task such as crossing over an obstacle may serve as an excellent tool for predicting early cognitive decline. Thus, this study aimed to investigate correlation between walking while crossing over an obstacle and executive functions under different gait phases to validate the use of walking with an obstacle for predicting early cognitive decline. Methods: A cross-sectional study was conducted on 48 elderly individuals from 2 day-care centers and 3 welfare-centers in Seoul and Gyeonggi, Korea. Executive function tests (Trail Making Test, Stroop test) and dual walking tests (gait speed, cadence, stance time, gait cycle time) were performed and compared using partial correlation analysis. Results: There were significant correlations between executive function and most of the gait variables (stance time, cadence, and gait cycle time) (p<0.05) when crossing over an obstacle while walking. Especially, stance time exhibited significant correlations with most executive functions (p<0.05). Conclusions: When evaluating executive function during walking with an obstacle, post-obstacle-crossing phase and stance time need to be observed.

음원 위치 검출기의 구현 (Implementation of Sound Source Location Detector)

  • 이종혁;김진천
    • 한국정보통신학회논문지
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    • 제4권5호
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    • pp.1017-1025
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    • 2000
  • 인간의 청각시스템은 두 가지 요소 즉, ITD(Interaural Time Difference)와 IID(Interaural Intensity Difference)를 처리하여 음원의 위치와 추적을 하고 있다. 본 연구에서는 음원의 위치 검출을 위하여 ITD와 IID 뿐만 아니라 이전의 위치 정보를 이용하여 정확한 음원의 방향을 결정할 수 있는 TEPILD(Time Energy Previous Integration Location Detector) 모델을 제안하였다. TEPILD 모델에서 time function generator는 ITD, energy function generator는 IID를 처리할 수 있도록 하였다. 음원은 정현파(500Hz,1kHz, 2kHz, 3kHz), White noise, Pink noise, News, Music으로 하고 음원의 방향은 right, front right, front, front left, left로 하였다. 실험 결과 전체 평균 정확도가99.2로 좋은 결과를 얻을 수 있었으며, TEPILD가 음원 위치 검출기에 이용될 수 있음을 확인하였다.

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