• Title/Summary/Keyword: 계단함수

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Approximation of Polynomials and Step function for cosine modulated Gaussian Function in Neural Network Architecture (뉴로 네트워크에서 코사인 모듈화 된 가우스함수의 다항식과 계단함수의 근사)

  • Lee, Sang-Wha
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.49 no.2
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    • pp.115-122
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    • 2012
  • We present here a new class of activation functions for neural networks, which herein will be called CosGauss function. This function is a cosine-modulated gaussian function. In contrast to the sigmoidal-, hyperbolic tangent- and gaussian activation functions, more ridges can be obtained by the CosGauss function. It will be proven that this function can be used to aproximate polynomials and step functions. The CosGauss function was tested with a Cascade-Correlation-Network of the multilayer structure on the Tic-Tac-Toe game and iris plants problems, and results are compared with those obtained with other activation functions.

Comparison between Variational Approximation and Eigenfunction Expansion Method for Wave Transformation over a Step Bottom (단일계단 지형에서 변분근사법과 고유함수 전개법에 의한 파랑변형 비교)

  • Seo, Seung-Nam
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.21 no.2
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    • pp.91-107
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    • 2009
  • In order to compute linear wave transformation over a single step bottom, both variational approximation and eigenfunction expansion method are used. Both numerical results are in good agreement for reflection and transmission coefficients, surface displacement respectively. However x velocity profiles at the boundary of step are seen to be different to each other even though x velocity matching condition is used.

Unsteady Flow Model with Variable Roughness Coefficient (가변 조도계수 부정류 계산모형)

  • Kim, Han- Joon;Jun, Kyung- Soo
    • Journal of Korea Water Resources Association
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    • v.37 no.12
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    • pp.1055-1063
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    • 2004
  • An unsteady flow model is developed that allows variable roughness coefficient for each computational point according to its spatial position and the discharge. A step function or a power function can be used for functional relation between the discharge and the Manning's roughness coefficient. The model is applied to the reach of the South Han River between the Chungju Dam and Paldang Dam, and model parameters are estimated by optimization. Estimated parameters of both the step function model and the Power function model show that Manning's roughness coefficient decreases as the discharge increases. This tendency is more noticeable for the upstream reach of Yeoju compared to the downstream reach. It turns out that the stages calculated by the variable roughness coefficient model agree better with the observed ones than those by the conventional fixed parameter model.

Blocky artifacts reduction by step-function modeling in DCT coded images (DCT 부호화된 영상에서 계단함수모형에 의한 구획잡음의 제거방법)

  • Yang, Jeong-Hun;Choi, Hyuk;Kim, Tae-Jeong
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.23 no.7
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    • pp.1860-1868
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    • 1998
  • A simple postprocessing algorithm is proposed to reduce the blocky artifacts of Block Discrete Cosine Transform (BDCT) coded images. Since the block noise is mostly antisymmetric relative to the block boundaries, we model the blocky noise as one-dimensional antisymmertric functions made by superposing DCT basis functions. observing the frequency characteristics of the noies model, we approximate its high frequency components as those of step functions. Then the proposed postprocessing algorithm eliminates the carefully selected high frequency components of step functions in the one-dimensional sN-point DCT domain, when the encoding block size is $N\;{\times}\;N$. It is shown that the proposed algorithm can also be performed in the spatial domain without computational burden of transforms. The experimental results show that the proposed algorithm well reduces the blocky artifacts in both subjective and objectie viewpoints.

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디지털 자동초점 시스템을 위한 초점 불완전 열화 추정과 복원 기법

  • 김상구;백준기
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 1997.11a
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    • pp.139-143
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    • 1997
  • 본 논문에서는 점확산함수(point spread function; PSF)의 추정을 기반으로 한 완전한 자동초점 시스템을 제안한다. 초점이 맞지 않은 영상의 정확한 PSF의 추정을 위해서, 입력 영상을 부영상으로 분할하고, 에지를 가진 부영상들의 계수함수 응답의 평균을 취한다. 초점이 맞지 않은 열화로 발생하는 PSF는 보통 영상이 물체와 배경간에 선형의 경계를 가지고 있다는 가정하에 에지의 방향을 따라 평균되어진 계단함수 응답의 차이를 따라 추정되어진다. 이렇게 예측된 PSF를 사용하여 영상복원 필터는 제한적 최소 제곱의 접근방법을 통해 구현되어진다.

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Efficient Path Tracking of Non-Player Character with Controlling NavMesh Based on Smoothed Heaviside Step Function (부드러운 헤비사이드 계단 함수 기반의 NavMesh 제어 기법을 이용한 효율적인 NPC의 경로 추적)

  • Kim, Jong-Hyun;Kim, Soo Kyun
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2022.01a
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    • pp.339-340
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    • 2022
  • 본 논문에서는 사용자의 다양한 물리적 속성 중 부드러운 헤비사이드 계단 함수와 다양한 물리적 속성(속도, 시점 등)을 활용하여 가중치 맵을 계산하고 이로부터 논플레이어 캐릭터(Non-player character, NPC)의 경로를 효율적으로 제어할 수 있는 NavMesh 제어 기법을 제시한다. 게임과 같은 가상환경에서 NPC는 일반적으로 네비게이션 메쉬(Navigation mesh, NavMesh)를 이용하여 이동한다. 하지만, NavMesh는 정적인 형태이기 때문에 사용자에 의해 디자인되어야 하고, 이러한 문제를 완화하고자 자동으로 NavMesh를 업데이트하는 기술이 연구되고 있지만, 메쉬 복원을 자동화할 뿐 실제 NPC 행동 제어라고 하기에는 힘든 접근법이다. 본 논문에서는 동적 네비게이션 프레임워크를 유지한 채, 사용자의 시점과 물리적 특성을 통해 NPC를 효율적이고 정확하게 경로 제어할 수 있는 방법을 제안하고, NavMesh의 형태에만 의존하던 NPC의 움직임을 완화하여 좀 더 사실적인 경로 제어를 보여준다.

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Analysis on the Charging Process of Stratified Thermal Storage - Tanks with Variable Inlet Temperature (입구온도가 변화하는 성층축열조의 충전과정 해석)

  • Yoo, Ho-Seon
    • Solar Energy
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    • v.15 no.2
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    • pp.25-37
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    • 1995
  • This paper presents an approximate analytical solution to one-dimensional model of the charging process for stratified thermal storage tanks, in which variation of the inlet temperature as well as the momemtum-induced mixing is taken into accout. The mixing is incorporated into the model as a constant-depth perfectly mixed layer above the plug flow region. Based on the superposition principle, the variable inlet temperature is approximated by a number of step functions. Temperature distributions for the thermocline corresponding to three types of interfacial condition arr successfully derived in terms of well-defined functions, so that a linear combination of them constitutes the final solution. Validity and utility of this work is examined through the comparison of the approximate solution with an exact solution available for the case of linearly increasing inlet temperature. With increasing the number of steps, the present solution asymptotically approaches to the exact one. Even with a limited number of steps, the present results favorably agree with those by the exact solution for a wide range of the mixing depth. Also, it is revealed that fewer steps are needed for meaningful predictions as the mixing. depth becomes larger.

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Morphology-Based Step Response Extraction and Regularized Iterative Point Spread Function Estimation & Image Restoration (수리형태학적 분석을 통한 계단응답 추출 및 반복적 정칙화 방법을 이용한 점확산함수 추정 및 영상 복원)

  • Park, Young-Uk;Jeon, Jae-Hwan;Lee, Jin-Hee;Kang, Nam-Oh;Paik, Joon-Ki
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.46 no.6
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    • pp.26-35
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    • 2009
  • In this paper, we present morphology-based step region extraction and regularized iterative point-spread-function (PSF) estimation methods. The proposed PSF estimation method uses canny edge detector to extract the edge of the input image. We extract feasible vertical and horizontal edges using morphology analysis, such as the hit-or-miss transform. Given extracted edges we estimate the optimal step-response using flattening and normalization processes. The PSF is finally characterized by solving the equation which relates the optimal step response and the 2D isotropic PSF. We shows the restored image by the estimated PSF. The proposed algorithm can be applied a fully digital auto-focusing system without using mechanical focusing parts.

The Time-Domain characteristics of Elliptic Filter Functions (Elliptic 필터 함수의 시간영역측성에 대한 고찰)

  • 한병성;김형갑
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.20 no.5
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    • pp.37-42
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    • 1983
  • The elliptic functions have transmission zeros on the imaginary axis and exhibit equal ripples in the stopband as well as in the passband. As a consequence they can be made optimal in the sense that the transition band is minimal. However the time domain behaviors turned out to be inferior to those of Chebyshev and Butterworth responses. This paper investigates the unit step responses and impulse responses in order to analyze the effects of various parameters such as passband attenuation, stopband frequencies M. etc., The following are the prominent features. Step responses of elliptic filters rise faster and produce larger overshoots and undershoots with higher natural frequencies. In the case of even functions, the initial values are non-zero which decreases as $\omega$s increases. Unlike Butter-worth or Chebyshev cases the impulse responses start with nonzero valses which also decrease as $\omega$s or order of the function increases. Eight figures are included to illustrate above analysis.

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The Characteristics of Contiguous Pulse Trains of Stepped FM Signals with binary Phase Coding (2진위상 부호화 연속 펄스 계단 FM 신호의 특성)

  • 윤태환;박송배
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.15 no.6
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    • pp.79-86
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    • 1978
  • The characteristics of contiguous pulse trains of stopped FM signals with binary phase coding, to be used as radar signals, were investigated. For this purpose, the general expressions for the spectra and the ambiguity functions of this class of signals were first obtained; these expressions were then compute6 and plotted by the use of computer for various coding scheme. The results show that alternate phase coding provides the best time resolution and the corresponding ambiguity functon has a configuration of "be6 of spikes" in the whole time-velocity plane.ity plane.

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