• 제목/요약/키워드: singular values

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삼치 시퀀스의 상관함수 특성 개선 연군 (A Study on Improving the Correlation Characteristics of a Ternary Sequence)

  • 권성재
    • 한국정보기술응용학회:학술대회논문집
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    • 한국정보기술응용학회 2002년도 추계공동학술대회 정보환경 변화에 따른 신정보기술 패러다임
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    • pp.407-411
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    • 2002
  • 삼치 시퀀스(temary sequence)는 -1, 0, 1의 3 가지 값으로만 구성되어 있는 디지털 코드이다. 따라서 디지털 하드웨어로 구현이 편리하다는 장점이 있다. 본 시퀀스는 환형 자기상관함수(circular/periodic autocorrelation function)가 이상적으로 나타나는 특징을 가지고 있다. 하지만 본 시퀀스를 이용해 송신기와 수신기사이의 통신 채널 특성을 긴 시간 구간에 걸쳐서 파악하고자 상호상관법을 사용하기 위해서는 환형이 아니라 선형적인 자기상관함수(linear/aperiodic autocorrelation function) 특성이 요구된다. 따라서 본 고에서는 삼치 시퀀스의 비이상적인 선형 자기상관함수를 개선시키기 위해 주파수 영역에서 역필터링과 쓰레쉬홀딩 연산을 결합한 방법과 특이치분해(SVD)방법을 제안하며 잡음이 있는 상황에서 그 성능을 평가하고자 한다. 제안한 방법은 시뮬레이션 결과 역필터링 방법은 신호대잡음비가 30dB인 경우 최대 부엽 레벨이 l1dB 감소했고 SVD 방법도 유사한 결과를 보였으나 잡음에 좀 더 약하며 특이치값의 세밀한 조정이 필요하였다.

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삼치 시퀀스의 상관함수 특성 개선 연구 (A Study on Improving the Correlation Characteristics of a Ternary Sequence)

  • 권성재
    • 한국산업정보학회:학술대회논문집
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    • 한국산업정보학회 2002년도 추계공동학술대회
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    • pp.407-411
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    • 2002
  • 삼치 시퀀스(ternary sequence)는 -1, 0, 1의 3가지 값으로만 구성되어 있는 디지털 코드이다. 따라서 디지털 하드웨어로 구현이 편리하다는 장점이 있다 본 시퀀스는 환형 자기상관함수(circular/periodic autocorrelation function)가 이상적으로 나타나는 특징을 가지고 있다. 하지만 본 시퀀스를 이용해 송신기와 수신기사이의 통신 채널 특성을 긴 시간 구간에 걸쳐서 파악하고자 상호상관 법을 사용하기 위해서는 환형이 아니라 선형적인 자기상관함수(linear/aperiodic autocorrelation function) 특성이 요구된다 따라서 본 고에서는 삼치 시퀀스의 비 이상적인 선형 자기상관함수를 개선시키기 위해 주파수 영역에서 역 필터링과 쓰레쉬홀딩 연산을 결합한 방법과 특이치분해(SVD)방법을 제안하며 잡음이 있는 상황에서 그 성능을 평가하고자 한다. 제안한 방법은 시뮬레이션 결과 역 필터링 방법은 신호대잡음비가 30㏈인 경우 최대 부엽 레벨이 11㏈ 감소했고 SVD 방법도 유사한 결과를 보였으나 잡음에 좀 더 약하며 특이치 값의 세밀한 조정이 필요하였다.

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Functionally Graded Piezoelectric Strip with Eccentric Crack Under Anti-plane Shear

  • Shin, Jeong-Woo;Kim, Tae-Uk
    • Journal of Mechanical Science and Technology
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    • 제17권6호
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    • pp.854-859
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    • 2003
  • In this paper, we examine the singular stresses and electric fields in a functionally graded piezoelectric ceramic strip containing an eccentric crack off the center line under anti-plane shear loading with the theory of linear piezoelectricity. It is assumed that the properties of the functionally graded piezoelectric ceramic strip vary continuously along the thickness. Fourier transforms are used to reduce the problem to the solution of two pairs of dual integral equations, which are then expressed to a Fredholm integral equation of the second kind. Numerical values on the stress intensity factor and the energy release rate are obtained.

A NON-ASYMPTOTIC METHOD FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS

  • File, Gemechis;Reddy, Y.N.
    • Journal of applied mathematics & informatics
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    • 제32권1_2호
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    • pp.39-53
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    • 2014
  • In this paper, a non-asymptotic method is presented for solving singularly perturbed delay differential equations whose solution exhibits a boundary layer behavior. The second order singularly perturbed delay differential equation is replaced by an asymptotically equivalent first order neutral type delay differential equation. Then, Simpson's integration formula and linear interpolation are employed to get three term recurrence relation which is solved easily by Discrete Invariant Imbedding Algorithm. Some numerical examples are given to validate the computational efficiency of the proposed numerical scheme for various values of the delay and perturbation parameters.

Elastodynamic Response of a Crack Perpendicular to the Graded Interfacial Zone in Bonded Dissimilar Materials Under Antiplane Shear Impact

  • Kim, Sung-Ho;Choi, Hyung-Jip
    • Journal of Mechanical Science and Technology
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    • 제18권8호
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    • pp.1375-1387
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    • 2004
  • A solution is given for the elastodynamic problem of a crack perpendicular to the graded interfacial zone in bonded materials under the action of anti plane shear impact. The interfacial zone is modeled as a nonhomogeneous interlayer with the power-law variations of its shear modulus and mass density between the two dissimilar, homogeneous half-planes. Laplace and Fourier integral transforms are employed to reduce the transient problem to the solution of a Cauchy-type singular integral equation in the Laplace transform domain. Via the numerical inversion of the Laplace transforms, the values of the dynamic stress intensity factors are obtained as a function of time. As a result, the influences of material and geometric parameters of the bonded media on the overshoot characteristics of the dynamic stress intensities are discussed. A comparison is also made with the corresponding elastostatic solutions, addressing the inertia effect on the dynamic load transfer to the crack tips for various combinations of the physical properties.

동적시스템의 차수 줄임을 위한 주상태의 최적선택 (Optimal Selection of Master States for Order Reduction)

  • 오동호;박영진
    • 소음진동
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    • 제4권1호
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    • pp.71-82
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    • 1994
  • We propose a systematic method to select the master states, which are retained in the reduced model after the order reduction process. The proposed method is based on the fact that the range space of right eigenvector matrix is spanned by orthogonal base vectors, and tries to keep the orthogonality of the submatrix of the base vector matrix as much as possible during the reduction process. To quentify the skewness of that submatrix, we define "Absolute Singularity Factor(ASF)" based on its singular values. While the degree of observability is concerned with estimation error of state vector and up to n'th order derivatives, ASF is related only to the minimum state estimation error. We can use ASF to evaluate the estimation performance of specific partial measurements compared with the best case in which all the state variables are identified based on the full measurements. A heuristic procedure to find suboptimal master states with reduced computational burden is also proposed. proposed.

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N4SID 알고리즘을 이용한 연속 냉간 압연기의 선형모델 규명 (Identification of Linear Model of Tandem Cold Mill Using N4SID Algorithm)

  • 엄상오;황이철;김윤식;김종윤;박영산
    • 한국정보통신학회논문지
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    • 제3권4호
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    • pp.895-905
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    • 1999
  • This paper identifies a linear time-invariant mathematical model of each stand of a five-stand tandem cold mill to design a robust $H_\infty$ thickness controller by applying input and output data sets to N4SID (Numerical algorithms for Subspace State Space System Identification) method. The input-output data sets describe interstand interference in the process of tandem cold rolling and are obtained from a nonlinear simulator of the tandem cold mill. In result, it is shown that the identified model well approximates the nonlinear model than a Taylor linearized model. Furthermore, uncertainties including roll eccentricity and incoming strip variation are quantitatively analyzed from the plot of maximum singular values.

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Receiver DCB Estimation and Analysis by Types of GPS Receiver

  • Choi, Byung-Kyu;Chung, Jong-Kyun;Cho, Jeong-Ho
    • Journal of Astronomy and Space Sciences
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    • 제27권2호
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    • pp.123-128
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    • 2010
  • This paper analyzes that the global positioning system (GPS) receiver differential code bias (DCB) has effect on the estimation the ionosphere total electron content (TEC). The data from nine permanent GPS sites of the Korea Astronomy and Space Science Institute (KASI) were used for the estimation of the receiver DCB before (Trimble 4000 SSi) and after (Trimble NetRS) the receiver replacement, using the singular value decomposition method. The results showed that the estimated mean value of the receiver DCB varied from 0.11 ns (nanosecond) to 7.54 ns before the receiver replacement, but the receiver DCBs shoed large values than 20 ns except some stations after the replacement. The receiver DCB showed a relatively large difference by types of the receivers, and, as a result, it had a great effect on the estimation the ionosphere TEC using GPS.

AN AFFINE MODEL OF X0(mn)

  • Choi, So-Young;Koo, Ja-Kyung
    • 대한수학회보
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    • 제44권2호
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    • pp.379-383
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    • 2007
  • We show that the modular equation ${\phi}^{T_n}_m$ (X, Y) for the Thompson series $T_n$ corresponding to ${\Gamma}_0$(n) gives an affine model of the modular curve $X_0$(mn) which has better properties than the one derived from the modular j invariant. Here, m and n are relative prime. As an application, we construct a ring class field over an imaginary quadratic field K by singular values of $T_n(z)\;and\;T_n$(mz).

Uncertainty Modeling and Robust Control for LCL Resonant Inductive Power Transfer System

  • Dai, Xin;Zou, Yang;Sun, Yue
    • Journal of Power Electronics
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    • 제13권5호
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    • pp.814-828
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    • 2013
  • The LCL resonant inductive power transfer (IPT) system is increasingly used because of its harmonic filtering capabilities, high efficiency at light load, and unity power factor feature. However, the modeling and controller design of this system become extremely difficult because of parameter uncertainty, high-order property, and switching nonlinear property. This paper proposes a frequency and load uncertainty modeling method for the LCL resonant IPT system. By using the linear fractional transformation method, we detach the uncertain part from the system model. A robust control structure with weighting functions is introduced, and a control method using structured singular values is used to enhance the system performance of perturbation rejection and reference tracking. Analysis of the controller performance is provided. The simulation and experimental results verify the robust control method and analysis results. The control method not only guarantees system stability but also improves performance under perturbation.