• Title/Summary/Keyword: 고유치와 고유벡터

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Eigenderivative Analysis of the Damped Structurure due to Modification of Mass and Stiffness (질량과 강성 변경 따른 감쇠구조물의 동특성 변화 해석)

  • Lee, Jung-Youn
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.14 no.4
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    • pp.7-12
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    • 2005
  • This study predicts the modified eigenvectors and eigenvalues of the damped structure due to the change in the mass, damping and stiffness of structure by calculation of the sensitivity coefficient using the original dynamic characteristic. The method is applied to examples of the damped 3 degree of freedom system by modifing the mass, damping and stiffness. The predicted dynamic characteristics are in good agreement with these from the structural reanalysis using the modified mass, damping and stiffness.

Stability and frequency response analysis of multipurpose vehicle using linear vehicle model (다용도 차량의 선형 모델을 이용한 직진 안전성 및 주파수 응답해석)

  • Kim, B.K.;Kim, W.S.
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.9
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    • pp.124-129
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    • 1997
  • The purpose of this study is to predict the stability and frequency response of multipurpose vehicle. The vehicle model has seven degrees of freedom. The motion equations are derived by using Lagrangian equation and linearized. The positions of eigenvalues of model which are dominated by lateral velocity, yaw rate, roll rate of sprung mass are used to predict the stability of motion. The resonse of sprung mass to steering wheel is simulated in time domain. It is predicted that the roll response of sprung mass would rather be improved by modifying the position of eigenvalues. The responses of sprung mass to steering wheel are also simulated in frequency domain. The magnitude and phase plots of gains are evaluated in driver's steering input frequency range.

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Jammer Suppression by Eigen Analysis in Multi-Carrier Radar (멀티캐리어 레이더에서 고유치 해석에 의한 재머 억제)

  • Jeon, Hyeon-Mu;Shin, Seong-Kwan;Chung, Yong-Seek;Chung, Won-Zoo;Kim, Jong-Mann;Yang, Hoon-Gee
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.25 no.12
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    • pp.1284-1291
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    • 2014
  • For detection and parameter estimation, a multicarrier radar should discriminate a channel containing jamming signal and either leave it out or regenerate jammer suppressed target signal. To discriminate jamming channels, we use the angular spectrum of an eigenvector that embeds target echoes and jamming signals. We propose a criteria to discriminate the jammer channels and its basis through mathematical analysis. Moreover, we show some procedures to regenerate the jammer suppressed target echoes. Finally, the validity of the proposed method is demonstrated through simulation results showing improved performance in terms of direction of arrival(DOA) estimation.

Density-based Topology Design Optimization of Piezoelectric Crystal Resonators (압전 수정진동자의 밀도법 기반 위상 최적설계)

  • Ha, Youn Doh;Byun, Taeuk;Cho, Seonho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.27 no.2
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    • pp.63-70
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    • 2014
  • Design sensitivity analysis and topology design optimization for a piezoelectric crystal resonator are developed. The piezoelectric crystal resonator is deformed mechanically when subjected to electric charge on the electrodes, or vice versa. The Mindlin plate theory with higher-order interpolations along thickness direction is employed for analyzing the thickness-shear vibrations of the crystal resonator. Thin electrode plates are masked on the top and bottom layers of the crystal plate in order to enforce to vibrate it or detect electric signals. Although the electrode is very thin, its weight and shape could change the performance of the resonators. Thus, the design variables are the bulk material densities corresponding to the mass of masking electrode plates. An optimization problem is formulated to find the optimal topology of electrodes, maximizing the thickness-shear contribution of strain energy at the desired motion and restricting the allowable volume and area of masking plates. The necessary design gradients for the thickness-shear frequency(eigenvalue) and the corresponding mode shape(eigenvector) are computed very efficiently and accurately using the analytical design sensitivity analysis method using the eigenvector expansion concept. Through some demonstrative numerical examples, the design sensitivity analysis method is verified to be very efficient and accurate by comparing with the finite difference method. It is also observed that the optimal electrode design yields an improved mode shape and thickness-shear energy.

Transform-domain Adaptive Filtering using the Split Filter Structure (Split filter구조를 이용한 직교변환영역에서의 적응 필터링)

  • 정진훈;안규영;남상원
    • Proceedings of the IEEK Conference
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    • 2003.07e
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    • pp.2204-2207
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    • 2003
  • 본 논문은 LMS 적응 필터의 수렴성능의 향상을 위한 새로운 적응신호처리 기법을 제안한다. 기존의 LMS 알고리즘의 문제점으로는 수렴특성이 입력 벡터의 자기 상관행렬의 고유치 분포에 영향을 받는다는 점이다. 본 논문은 두 선행처리 기법, 즉, 직교 변환에 의한 선행처리 기법과 split filter 구조 필터링 기법을 결합하여 보다 개선된 수렴특성을 갖는 적응신호처리 기법을 제안한다.

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Constructing Equations of Motion for a Dynamic System from Modal Parameters (모달 파라미터를 이용한 동적 시스템의 운동 방정식 구성)

  • Hwang, Woo-Seok
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.35 no.1
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    • pp.40-45
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    • 2007
  • Modal analysis or modal test is a routine process to get the modal parameters of a dynamic system. The modal parameters include the natural frequencies, damping ratios and mode shapes. This paper presents a method that can derive the equations of motion for a dynamic system from the modal parameters obtained by the modal analysis or modal test. The present method based on the relation between the eigenvalues and eigenvectors of the state space equation derives the mass, damping and stiffness matrices of the system. The numerical verifications for the simple mass-spring-damper system and the cantilevered beam prove the efficiency and accuracy of the present method.

Adaptive Antenna Array for DOA Estimation Utilizing Orthogonal Weight Searching (직교가중치 탐색방법을 이용한 도착방향 추정 적응어레이 안테나)

  • 오정호;최승원;이현배;황영준
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.8 no.2
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    • pp.116-125
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    • 1997
  • This paper presents a novel method, entitled Orthogonal Weights Searching(OWS), for the Direction-Of-Arrival(DOA) estimation. Utilizing the modified Conjugate Gradient Method(MCGM), the weight vector which is orthogonal to the signal subspace is directly computed from the signal matrix. The proposed method does not require the computation of the eigenvalues and eigenvectors. In addition, the new technique excludes the procedure for the detection of the number of signals under the assumption that the number of weights in the array is greater than the number of input signals. Since the proposed technique can be performed independently of the detection procedure, it shows a good performance in adverse signal environments in which the detection of the number of array inputs cannot be obtained successfully. The performance of the proposed technique is compared with that of the convectional eigen-decomposition method in terms of angle resolution for a given signal-to-noise ratio(SNR) and a required amount of computations.

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Adaptive Projection Matrix Beamformer for Frequency Hopping Systems Robust to Jamming environment (의도적 간접신호에 강한 주파수 도약 시스템용 적응 투영행렬 빔형성 기법)

  • Jung, Sung-Hun;Shim, Sei-Joon;Kim, Sang-Heon;Lee, Chung-Yong;Youn, Dae-Hee
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.42 no.8 s.338
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    • pp.25-32
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    • 2005
  • Frequency hopping system has been adopted to many communication systems in order to overcome the inferior situation such as jamming environment. But typically its processing gain being limited, data interfered by jamming signal could not be fully recovered. This can be enhanced by combing FH system with spatial interference canceller which is a kind of active beamformer In this Paper, we proposed the compensation method of weight vector discrepancy according to the hopped frequencies and the PMBF method which is able to eliminate the inference effectively with less computational complexity. That is, the steering vector of wanted signals can be calculated from the frame without jamming signals using eigen analysis. New projection matrix extracted by the steering vector of wanted signal eliminates the interferences from the covariance matrix of received signal including wanted signal and jamming signals. This PMBF has similar performance of SINR beamformer with less computational complexity.

FPGA Implementation of Unitary MUSIC Algorithm for DoA Estimation (도래방향 추정을 위한 유니터리 MUSIC 알고리즘의 FPGA 구현)

  • Ju, Woo-Yong;Lee, Kyoung-Sun;Jeong, Bong-Sik
    • Journal of the Institute of Convergence Signal Processing
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    • v.11 no.1
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    • pp.41-46
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    • 2010
  • In this paper, the DoA(Direction of Arrival) estimator using unitary MUSIC algorithm is studied. The complex-valued correlation matrix of MUSIC algorithm is transformed to the real-valued one using unitary transform for easy implementation. The eigenvalue and eigenvector are obtained by the combined Jacobi-CORDIC algorithm. CORDIC algorithm can be implemented by only ADD and SHIFT operations and MUSIC spectrum computed by 256 point DFT algorithm. Results of unitary MUSIC algorithm designed by System Generator for FPGA implementation is entirely consistent with Matlab results. Its performance is evaluated through hardware co-simulation and resource estimation.

A Study on Spatial Smoothing Technique for Angle of Arrival Estimation of Coherent Incoming Waves (코히어런트 입사파의 도래방향 추정을 위한 공간평균법의 개선에 관한 연구)

  • Jeong Jung-Sik
    • Journal of Navigation and Port Research
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    • v.29 no.5 s.101
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    • pp.403-408
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    • 2005
  • The techniques of estimating angle of arrival(AOA) have played a key role for enhancement of wireless communications using array antennas. Among those techniques, the superresolution algorithms, such as MUSIC and ESPRIT, calculate the covariance matrix of the array output vectors which are observed at the array antennas, and then by using eigen-decomposition of the covariance matrix, they estimate AOAs of the received signals with high accuracy. However, superresolution algorithms based eigenvalue decomposition fails to estimate AOAs under multipath environments. Under multipath environments, it is difficult to estimate AOAs of the received signals due to coherency and high-correlation. To resolve coherent signals, the covariance matrix is calculated by using the conventional spatial smoothing technique, and then the techniques based on eigen-descomposition is applied. The result of the conventional spatial smoothing technique, however, is obtained at the cost of losing effective spatial aperture. Moreover, the conventional technique ignores any information in the cross-correlations of the array outputs the subarrays. As the result, the performance for AOA estimation is degraded. In this paper, we propose a new spatial smoothing technique, which consider the cross-correlation for subarrays. By computer simulation, the AOA estimation performance of the proposed method is compared with the conventional method and evaluated.