• Title/Summary/Keyword: Nonlinear function

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RBF 등화기용 유용한 비선형 함수와 결정경계의 설정 (An useful Nonlinear Function for RBF Equalizer-and Decision Boundary setting)

  • 박종령;박남천;주창복
    • 융합신호처리학회 학술대회논문집
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    • 한국신호처리시스템학회 2000년도 하계종합학술대회논문집
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    • pp.1-4
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    • 2000
  • In this paper, A useful nonlinear function for the RBF(Radial Basis Function) equalization is proposed. This proposed function need not calculate an exponential function that is generally used for conventional RBF equalizer and uses the only four rules of arithmetic. Therefore the computational requirement for the RBF equalizer with the proposed function is decreased. As a computer simulation result, the equalizer with the proposed function effectively reduce nonlinear intersymbol interference, caused by nonlinear communication channel.

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ERROR BOUNDS FOR NONLINEAR MIXED VARIATIONAL-HEMIVARIATIONAL INEQUALITY PROBLEMS

  • A. A. H. Ahmadini;Salahuddin;J. K. Kim
    • Nonlinear Functional Analysis and Applications
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    • 제29권1호
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    • pp.15-33
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    • 2024
  • In this article, we considered a class of nonlinear variational hemivariational inequality problems and investigated a gap function and regularized gap function for the problems. We discussed the global error bounds for such inequalities in terms of gap function and regularized gap functions by utilizing the Clarke generalized gradient, relaxed monotonicity, and relaxed Lipschitz continuous mappings. Finally, as applications, we addressed an application to non-stationary non-smooth semi-permeability problems.

Design of a Sliding Mode Controller with Nonlinear Boundary Transfer Characteristics

  • Kim, Yoo K.;Gi J. Jeon
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.164.2-164
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    • 2001
  • Sliding mode control (SMC) with variable nonlinear boundary layer is proposed. Two Fuzzy logic controllers (FLCs) are used to decide both boundary layer thickness and nonlinear interpolation using sigmoid function in the boundary layer. The nonlinear interpolation in the boundary layer suing FLC reduces stead state error and chattering. Sigmoid function is used to nonlinear interpolation in the boundary layer sigmoid function parameter with FLC. To demonstrate its performance, the Proposed control algorithm is applied to a simple nonlinear system.

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A method for linearizing nonlinear system by use of polynomial compensation

  • Nishiyama, Eiji;Harada, Hiroshi;Kashiwagi, Hiroshi
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.597-600
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    • 1997
  • In this paper, the authors propose a new method for linearizing a nonlinear dynamical system by use of polynomial compensation. In this method, an M-sequence is applied to the nonlinear system and the crosscorrelation function between the input and the output gives us every crosssections of Volterra kernels of the nonlinear system up to 3rd order. We construct a polynomial compensation function from comparison between lst order Volterra kernel and high order kernels. The polynomial compensation function is, in this case, of third order whose coefficients are variable depending on the amplitude of the input signal. Once we can get compensation function of nonlinear system, we can construct a linearization scheme of the nonlinear system. That is. the effect of second and third order Volterra kernels are subtracted from the output, thus we obtain a sort of linearized output. The authors applied this method to a saturation-type nonlinear system by simulation, and the results show good agreement with the theoretical considerations.

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디지털 맘모그램을 위한 비선형 영상 향상 방법 (A Nonlinear Image Enhancement Method for Digital Mammogram)

  • 전금상;김상희
    • 융합신호처리학회논문지
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    • 제14권1호
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    • pp.6-12
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    • 2013
  • 맘모그램은 유방암의 조기발견을 위해 가장 일반적으로 이용되고 있다 유방암의 정확한 진단과 효율적인 치료를 위하여 많은 영상향상 방법들이 개발되어왔다. 본 논문은 디지털 유방 촬영상의 영상향상을 위하여 새로운 비선형 영상향상 방법을 제안한다. 제안된 방법은 영상의 밝기 정보를 향상시키기 위한 비선형 함수와 경계와 디테일 정보를 개선하기 위한 비선형 필터로 구성된다. 비선형 함수는 영상의 어두운 영역의 밝기를 향상시키고 밝은 영역의 동적범위를 넓혀주며, 비선형 필터는 영상의 특정 영역이나 객체를 효과적으로 개선시킨다. 최종 향상된 영상은 비선형 함수로 처리한 영상과 비선형 필터로 필터된 영상을 더하여 얻어진다. 제안된 비선형 영상향상 방법은 실험에서 기존 방법과 영상향상 결과를 비교하여 우수한 성능을 확인하였다.

초기조건과 비선형 함수와의 상관관계를 이용한 스트림 암호시스템 분석 (Analysis of stream cipher system with initial condition and nonlinear function)

  • 김지홍;이만영
    • 전자공학회논문지A
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    • 제33A권2호
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    • pp.8-14
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    • 1996
  • Key stream generator consisting of several linear feedback shift registers with a nonlinear combining function have been applied in stream cipher system. Most of the papers until now have been focusing on correlation atack and analysis of key stream generator with nonlinear combining function. Given some part of key stream sequences. We can generate identical output sequences with original key stream sequences if the feedback connection and the maximum order of nonlinear combination function are known.

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Noise Reduction Approach of Nonlinear Function for a Range Image using 2-D Kalman Filtering Method

  • Katayama, Jun;Sekin, Yoshifumi
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2000년도 ITC-CSCC -2
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    • pp.898-901
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    • 2000
  • A new 2-D block Kalman filtering method which uses a nonlinear function is presented to generate a more accurate filtered estimate of a range image that has been corrupted by additive noise. Novel 2-D block Kalman filtering method is constructed of the conventional method and nonlinear function which utilizes to control estimation error. We show that novel 2-D Kalman filtering method using a nonlinear function is effective at reducing the additive noise, not distorting shape edges.

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Effect of Nonlinear Transformations on Entropy of Hidden Nodes

  • Oh, Sang-Hoon
    • International Journal of Contents
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    • 제10권1호
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    • pp.18-22
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    • 2014
  • Hidden nodes have a key role in the information processing of feed-forward neural networks in which inputs are processed through a series of weighted sums and nonlinear activation functions. In order to understand the role of hidden nodes, we must analyze the effect of the nonlinear activation functions on the weighted sums to hidden nodes. In this paper, we focus on the effect of nonlinear functions in a viewpoint of information theory. Under the assumption that the nonlinear activation function can be approximated piece-wise linearly, we prove that the entropy of weighted sums to hidden nodes decreases after piece-wise linear functions. Therefore, we argue that the nonlinear activation function decreases the uncertainty among hidden nodes. Furthermore, the more the hidden nodes are saturated, the more the entropy of hidden nodes decreases. Based on this result, we can say that, after successful training of feed-forward neural networks, hidden nodes tend not to be in linear regions but to be in saturated regions of activation function with the effect of uncertainty reduction.

A method of nonlinear optimal regulator using a Liapunov-like function

  • Kawabata, Hiroaki;Shirao, Yoshiaki;Nagahara, Toshikuni;Inagaki, Yoshio
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1990년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 26-27 Oct. 1990
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    • pp.1060-1065
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    • 1990
  • In general it is difficult to determine a Liapunov function for a given asymptotically stable, nonlinear differential equations system. But, in the system with control inputs, it is feasible to make a given positive function, except for a small area, globally satisfy the conditions of the Liapunov function for the system. We call such a positive function a Liapunov-like function, and propose a method of nonlinear optimal regulator using this Liapunov-like function. We also use the periodic Liapuitov-like friction that suits the system whose equilibrium points exist periodically. The relationship between the Liapunov function and cost function which this nonlinear regulator minimizes is considered using inverse optimal method.

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다변수 Hammerstein 공정의 순차 확인법 (Sequential Loop Closing Identification of Hammerstein Models for Multiple-Input Multiple-Output Processes)

  • 박호철;구도균;이문용;이지태
    • 제어로봇시스템학회논문지
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    • 제10권12호
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    • pp.1280-1286
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    • 2004
  • A lot of industrial chemical processes contain certain input nonlinearities even though they are controlled by several linear controllers. Here we investigate a sequential loop closing identification method for MIMO Hammerstein nonlinear processes with diagonal nonlinearities. The proposed method separates the identification of the nonlinear static function from that of the linear subsystem by using a relay feedback test and a triangular type signal test. From 2 n activations for n n MIMO nonlinear processes, we sequentially identify the whole range of the nonlinear static function as well as the transfer function matrix of the linear subsystem.