• Title/Summary/Keyword: norm function

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Broadband Processing of Conventional Marine Seismic Data Through Source and Receiver Deghosting in Frequency-Ray Parameter Domain (주파수-파선변수 영역에서 음원 및 수신기 고스트 제거를 통한 전통적인 해양 탄성파 자료의 광대역 자료처리)

  • Kim, Su-min;Koo, Nam-Hyung;Lee, Ho-Young
    • Geophysics and Geophysical Exploration
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    • v.19 no.4
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    • pp.220-227
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    • 2016
  • Marine seismic data have not only primary signals from subsurface but also ghost signals reflected from the sea surface. The ghost decreases temporal resolution of seismic data because it attenuates specific frequency components. For eliminating the ghost signals effectively, the exact ghost delaytimes and reflection coefficients are required. Because of undulation of the sea surface and vertical movements of airguns and streamers, the ghost delaytime varies spatially and randomly while acquiring seismic data. The reflection coefficient is a function of frequency, incidence angle of plane-wave and the sea state. In order to estimate the proper ghost delaytimes considering these characteristics, we compared the ghost delaytimes estimated with L-1 norm, L-2 norm and kurtosis of the deghosted trace and its autocorrelation on synthetic data. L-1 norm of autocorrelation showed a minimal error and the reflection coefficient was calculated using Kirchhoff approximation equation which can handle the effect of wave height. We applied the estimated ghost delaytimes and the calculated reflection coefficients to remove the source and receiver ghost effects. By removing ghost signals, we reconstructed the frequency components attenuated near the notch frequency and produced the migrated stack section with enhanced temporal resolution.

The Relationship between Transgressive Behaviors of Humanity and Moral Anger in Korean Culture ('사람됨' 준거 위반과 도덕적 정서로서의 화(火)의 관계 분석)

  • Kibum Kim ;Hyojin Im
    • Korean Journal of Culture and Social Issue
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    • v.11 no.3
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    • pp.1-21
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    • 2005
  • Many researches have argued the most important dimension of perception or evaluation of person is morality and competence in Korean culture. This study was to investigate the cultural characteristics of the criteria of personhood. Two studies were conducted to investigate the criteria used to evaluate person by qualitative approach and the differences of evaluation of wrongdoer who violates interpersonal norm or individual autonomy by experimental method. In addition, anger as emotional response to wrongdoer is conceptualized in terms of moral and self-conscious emotion. Expression of anger is less an outpouring of emotion and more a culturally regulated and normative mode of managing and putting into practice our society's system of rights and obligations - its moral code. According to results of qualitative data by interview and focus group interview, the most important criteria used to evaluate personhood was interpersonal concern, esp, expectation and norm. The results of experiment revealed that violation of interpersonal norm domain evoked angrier towards violator than autonomy domain. The subjects ascribed more blame and responsibility to interpersonal norm violator than autonomy keeper. Also function of behavior inhibition of anger was higher in interpersonal norm domain than autonomy domain.

ON NONLINEAR PROGRAMMING WITH SUPPORT FUNCTIONS

  • Husain, I.;Abha;Jabeen, Z.
    • Journal of applied mathematics & informatics
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    • v.10 no.1_2
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    • pp.83-99
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    • 2002
  • Optimality conditions are derived for a nonlinear program in which a support function appears in the objective as well as in each constraint function. Wolfe and Mond-Weir type duals to this program are presented and various duality results are established under suitable convexity and generalized convexity assumptions. Special cases that often occur in the literature are those in which a support function is the square root of a positive semi- definite quadratic form or an Lp norm. It is pointed out that these special cases can easily be generated from our results.

Simultaneous Optimal Design of Control-Structure Systems for 2-D Truss Structure (2차원 트러스 구조물에 대한 제어/구조 시스템의 동시최적설계)

  • Park, Jung-Hyen;Kim, Soon-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.10
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    • pp.812-818
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    • 2001
  • This paper proposes an optimum design method of structural and control systems, taking a 2-D truss structure as an example. The structure is supposed to be subjected to initial static loads and disturbances. For the structure, a FEM model is formed, and using modal transformation, the equation of motion is transformed into that of modal coordinates in order to reduce the D.O.F. of the FEM model. The structure is controlled by an output feedback $H^$\infty$$ controller to suppress the effect of the disturbances. The design variables of the simultaneous optimal design of control-structure systems are the cross sectional areas of truss members. The structural objective function is the structural weight. The control objective function is the $H^$\infty$$ norm, that is, the performance index of control. The second structural objective function is the energy of the response related to the initial state, which is derived from the time integration of the quadratic form of the state in the closed-loop system. In a numerical example, simulations have been carried out. Through the consideration of structural weight and $H^$\infty$$ norm, an advantage of the simultaneous optimum design of structural and control systems is shown. Moreover, while the optimized performance index of control is almost kept, we can acquire better design of structural strength.

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Comparative analysis of methods for digital simulation (디지털 전산모사를 위한 방법론 비교분석)

  • Yi, Dokkyun;Park, Jieun
    • Journal of Digital Convergence
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    • v.13 no.9
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    • pp.209-218
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    • 2015
  • Computer simulation plays an important role for a theoretical foundation in convergence technology and the interpolation is to know the unknown values from known values on grid points. Therefore it is an important problem to select an interpolation method for digital simulation. The aim of this paper is to compare analysis of interpolation methods for digital simulation. we test six different interpolation methods namely: Quartic-Lagrangian, Cubic Spline, Fourier, Hermit, PWENO and SL-WENO. Through digital simulation of a linear advection equation, we analyse pros and cons for each method. In order to compare performance, we introduce accuracy computing and Error functions. The accuracy computing is used well-known $L^1-norm$ and the Error functions are dispersion function, dissipation function and total error function. High-order methods well apply to computer simulation, unfortunately, side-effects (Oscillation) happen.

Wavelet Based Matching Pursuit Method for Interpolation of Seismic Trace with Spatial Aliasing (공간적인 알리아싱을 포함한 탄성파 트레이스의 내삽을 위한 요소파 기반의 Matching Pursuit 기법)

  • Choi, Jihun;Byun, Joongmoo;Seol, Soon Jee
    • Geophysics and Geophysical Exploration
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    • v.17 no.2
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    • pp.88-94
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    • 2014
  • Due to mechanical failure or geographical accessibility, the seismic data can be partially missed. In addition, it can be coarsely sampled such as crossline of the marine streamer data. This seismic data that irregular sampled and spatial aliased may cause problems during seismic data processing. Accurate and efficient interpolation method can solve this problem. Futhermore, interpolation can save the acquisition cost and time by reducing the number of shots and receivers. Among various interpolation methods, the Matching Pursuit method can be applied to any sampling type which is regular or irregular. However, in case of using sinusoidal basis function, this method has a limitation in spatial aliasing. Therefore, in this study, we have developed wavelet based Matching Pursuit method that uses wavelet instead of sinusoidal function for the improvement of dealiasing performance. In addition, we have improved interpolation speed by using inner product instead of L-2 norm.

Structure-Control Combined Optimal Design of 3-D Truss Structure Considering Intial State and Feedback Gain

  • Park, Jung-Hyen
    • Journal of Ocean Engineering and Technology
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    • v.17 no.4
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    • pp.66-72
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    • 2003
  • This paper proposes an optimum, problematic design for structural and control systems, taking a 3-D truss structure as an example. The structure is subjected to initial static loads and time-varying disturbances. The structure is controlled by a state feedback H$_{\infty}$ controller which suppress the effects of disturbances. The design variables are the cross sectional areas of truss members. The structural objective function is the structural weight. For the control objective, we consider two types of performance indices, The first function represents the effect of the initial loads. The second function is the norm of the feedback gain, These objective functions are in conflict with each other but are transformed into one control objective by the weighting method. The structural objectives is treated as the constraint, By introducing the second control objective which considers the magnitude of the feedback gain, we can create a design to model errors.

A Fuzzy Neural-Network Algorithm for Noisiness Recognition of Road Images (도로영상의 잡음도 식별을 위한 퍼지신경망 알고리즘)

  • 이준웅
    • Transactions of the Korean Society of Automotive Engineers
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    • v.10 no.5
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    • pp.147-159
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    • 2002
  • This paper proposes a method to recognize the noisiness of road images connected with the extraction of lane-related information in order to prevent the usage of erroneous information. The proposed method uses a fuzzy neural network(FNN) with the back-Propagation loaming algorithm. The U decides road images good or bad with respect to visibility of lane marks on road images. Most input parameters to the FNN are extracted from an edge distribution function(EDF), a function of edge histogram constructed by edge phase and norm. The shape of the EDF is deeply correlated to the visibility of lane marks of road image. Experimental results obtained by simulations with real images taken by various lighting and weather conditions show that the proposed method was quite successful, providing decision-making of noisiness with about 99%.

$\mu$optimal controller design using equivalent weighting function (동등하중함수를 이용한 $\mu$-최적제어기 설계)

  • 방경호;이연정;박홍배
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.1
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    • pp.65-71
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    • 1997
  • In this paper, we propose a new .mu.-controller design method using an equivalent weighting function $W_{\mu}$(s). The proposed mehtod is not guaranteed to converge to the minimum as D-K and .mu.-K iteration method. However, the robust performance problem can be converted into an equivalent $H^{\infty}$ optimization problem of unstructured uncertainty by using an equivalent weightng function $W_{\mu}$(s). Also we can find a .mu.-optimal controller iteratively using an error index $d_{\epsilon}$ of differnce between maximum singular value and .mu.-norm. And under the condition of the same order of scaling functions, the proposed method provides the .mu.-optimal controller with the degree less than that obtained by D-K iteration..

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Delay-dependent Guaranteed Cost Control for Uncertain Time Delay System

  • Lee, In-Beum;Choi, Jin-Young
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.62.4-62
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    • 2001
  • In this paper, we propose a delay-dependent guaranteed cost controller design method for uncertain linear systems with time delay. The uncertainty is norm bounded and time-varying. A quadratic cost function is considered as the performance measure for the given system. Based on the Lyapunov method, sufficient condition, which guarantees that the closed-loop system is asymptotically stable and the upper bound value of the closed-loop cost function is not more than a specied one, is derived in terms of Linear Matrix Inequalities(LMIs) that can be solved sufficiently. A convex optimization problem can be formulated to design a guaranteed cost controller, which minimizes the upper bound value of the cost function. Numerical examples show the activeness of the proposed method.

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