• Title/Summary/Keyword: 모드행렬

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DCT/DFT Hybrid Architecture Algorithm Via Recursive Factorization (순환 행렬 분해에 의한 DCT/DFT 하이브리드 구조 알고리듬)

  • Park, Dae-Chul
    • Journal of the Institute of Convergence Signal Processing
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    • v.8 no.2
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    • pp.106-112
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    • 2007
  • This paper proposes a hybrid architecture algorithm for fast computation of DCT and DFT via recursive factorization. Recursive factorization of DCT-II and DFT transform matrix leads to a similar architectural structure so that common architectural base may be used by simply adding a switching device. Linking between two transforms was derived based on matrix recursion formula. Hybrid acrchitectural design for DCT and DFT matrix decomposition were derived using the generation matrix and the trigonometric identities and relations. Data flow diagram for high-speed architecture of Cooley-Tukey type was drawn to accommodate DCT/DFT hybrid architecture. From this data flow diagram computational complexity is comparable to that of the fast DCT algorithms for moderate size of N. Further investigation is needed for multi-mode operation use of FFT architecture in other orthogonal transform computation.

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A Hardware Design of High Performance HEVC Multi-mode Transform (다중 모드를 지원하는 고성능 HEVC 변환 블록의 하드웨어 설계)

  • Kim, Ki-Hyun;Shin, Seung-Yong;Ryoo, Kwang-Ki
    • Annual Conference of KIPS
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    • 2013.11a
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    • pp.1532-1535
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    • 2013
  • 변환 블록은 영상 압축에서 데이터를 공간적 영역에서 주파수 영역으로 변환해줌으로써 압축의 효율성을 높이는 역할을 수행한다. 본 논문에서는 고성능 HEVC를 위한 4개의 TU 모드($4{\times}4$, $8{\times}8$, $16{\times}16$, $32{\times}32$)를 지원하는 변환 블록 하드웨어 구조를 제안한다. 제안하는 변환 블록의 하드웨어 구조는 공통 연산기를 사용하여 각 TU 모드에 맞는 행렬 계수들 간의 연산을 수행한다. 또한 병렬적인 구조로 설계하여 $4{\times}4$, $8{\times}8$, $16{\times}16$, $32{\times}32$ 크기 TU 모드의 행렬 연산을 처리하는 사이클수가 35cycle로 동일하게 처리된다. TSMC 180nm CMOS 공정 라이브러리를 통해 합성한 결과 $4k(3840{\times}2160)@30Hz$의 영상을 기준으로 최대 동작주파수는 400MHz이고 총 게이트 수는 159k이며, 10-Gpels/cycle의 처리량을 갖는다.

Modal Control of Vibration Using MR Damper (MR댐퍼를 이용한 진동의 모드제어)

  • Cho, Sang-Won;Oh, Ju-Won;Lee, In-Won
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2002.09a
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    • pp.357-363
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    • 2002
  • 본 연구에서는 지진하중을 받는 구조물의 MR감쇠기를 이용한 모드제어를 구현하고자 한다. 모드제어는 저차의 모드만을 이용하여 구조물의 진동을 제어한다. 따라서 토목구조물과 같은 자유도가 많은 대형구조물의 제어에 적합하며, 제어기의 설계 역시 다른 제어이론에 비해 간편하다. 모드제어에 대한 앞선 연구들이 많이 있음에도 불구하고, 반능동제어, 특히 MR감쇠기에 대한 모드제어의 성능에 대한 연구가 없었다. 본 연구에서는 MR댐퍼에 대한 효율성을 검토하기 위해서, 모드제어이론을 지진하중을 받는 구조물에 구현하였다. 센서로부터 측정된 응답을 이용하여 모드응답을 예측하기 위해 칼만필터를 구현하였으며, Spillover problem을 해결하기 위해 low-pass filter가 적용되었다. 수치예제를 통해 저차의 모드만을 제어함으로써, 구조물의 거동이 효과적으로 줄어드는 것을 확인하였다. 그러나 줄어드는 정도는 제어기의 가중치행렬과 칼만필터에 사용되는 센서에 의해 측정된 응답에 따라 다르다

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The Applications of Viscoelastic Dampers for Vibration control (고층건물의 진동제어를 위한 점탄성 감쇠기의 활용)

  • 김진구;홍성일;이경아;이동근
    • Journal of the Earthquake Engineering Society of Korea
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    • v.4 no.1
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    • pp.77-88
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    • 2000
  • 복소모드 중첩법은 점탄성 감쇠기가 설치된 비비례 감쇠시스템의 정확한 동적 거동을 예측할 수 있는 방법이지만 많은 자유도를 갖는 고층건물의 해석시 고유치 해석과 모드중첩과정에서 많은 시간과 노력이 필요하게 된다. 본 논문에서는 효율적인 모형화를 위하여 강막가정과 행렬응축기법을 적용하고 구조물의 진동에 영향을 주는 주요모드의 선택을 위한 복소모드 응답참여계수를 제안하므로써 복소모드 중첩법의 효율성은 높였다. 또한 비비례 감쇠시스템에서 감쇠를 고려하여 응답스펙트럼을 재구성한후 선택된 주요 모드를 중첩하여 최대층간변위가 발생하는 곳에 감쇠기를 설치하였다 이 방법은 감쇠기가 설치된 구조물에 대하여 만족되는 수준의 최대층간변위가 발생할 때 까지 고유치 해석만을 반복.수행하면서 감쇠기를 연속적으로 설치하는 방법이다. 제안된 방법의 정확성과 효율성을 검토하기 위하여 예제 구조물의 대상으로 해석한 결과 응답의 정확성을 유지하면서 해석에 필요한 시간을 대폭 절감할 수 있었다.

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A Study On The Eigen-properties of A 2-D Square Waveguide by the Krylov-Schur Iteration Method (Krylov-Schur 순환법에 의한 2차원 사각도파관에서의 고유치 문제에 관한 연구)

  • Kim, Yeong Min;Kim, Dongchool;Lim, Jong Soo
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.11
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    • pp.28-35
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    • 2013
  • The Krylov-Schur algorithm has been applied to reveal the eigen-properties of the wave guide having the square cross section. The eigen-matrix equation has been constructed from FEM with the basis function of the tangential edge-vectors of the triangular element. This equation has been treated firstly with Arnoldi decomposition to obtain a upper Hessenberg matrix. The QR algorithm has been carried out to transform it into Schur form. The several eigen values satisfying the convergent condition have appeared in the diagonal components. The eigen-modes for them have been calculated from the inverse iteration method. The wanted eigen-pairs have been reordered in the leading principle sub-matrix of the Schur matrix. This sub-matrix has been deflated from the eigen-matrix equation for the subsequent search of other eigen-pairs. These processes have been conducted several times repeatedly. As a result, a few primary eigen-pairs of TE and TM modes have been obtained with sufficient reliability.

Electromagnectic Modal Analysis for the Multiscreen Structure with Periodic Slot Array Including Conductor Thickness Effect (유한한 두께를 갖는 평판 상의 주기적 슬롯이 배열된 다중스크린 구조의 전자파 모드 해석)

  • 고지환;조영기
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.40 no.11
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    • pp.1-9
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    • 2003
  • The electromagnectic modal analysis method for the multiscreen structure with periodic slot array with including conductor thickness effect is presented. The multiscreen structure is seen to be exactly equivalent to a microwave guide closed by phase-shift walls. From this viewpoint, the entire generalized scattering matrix of the multiscreen structure is calculated by the cascade connection of the scattering matrices obtained by the modal analysis at guide junctions and the transmission matrices of guide region. The present method is verified in comparison with the results calculated by the previous method of moment for single screen structure. As an application example of the present method, the spatial filter having multiscreen structure is designed and the interesting characteristics such as transmission and reflection coefficient versus frequency & angle are investigated.

Analysis of Stepped T-Junction using Improved Three Plane Mode Matching Method and Its Application (개선된 Three Plane Mode Matching Method를 이용한 계단형 T-접합의 해석과 응용)

  • 손영일;김상태;황충선;백락준;신철재
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.24 no.6B
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    • pp.1123-1133
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    • 1999
  • In this paper, we applied mode matching and generalized scattering matrix methods to three plane mode matching method for analyzing T-junctions. We calculated all scattering matrix elements by only three times and considered several incident modes. By proposed analysis method, we could analyze various waveguide discontinuity structures more conveniently and accurately. Using the stepped T-junction, we would be able to reduce the reflection coefficient at an input port and use it over wider band. Simulated and HFSS data of T-junctions are compared, showing good agreement for scattering matrix elements. Considering step numbers, height, length and position, we extracted for optimum dimensions and equivalent circuit parameters.

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A Study on Eigen-properties of a 3-Dim. Resonant Cavity by Krylov-Schur Iteration Method (Krylov-Schur 순환법을 이용한 3-차원 원통구조 도파관의 고유특성 연구)

  • Kim, Yeong Min;Lim, Jong Soo
    • Journal of the Institute of Electronics and Information Engineers
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    • v.51 no.7
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    • pp.142-148
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    • 2014
  • Krylov-Schur iteration method has been applied to the 3-Dim. resonant cavity of a cylindrical form. The vector Helmholtz equation has been analysed for the resonant field strength in homogeneous media by FEM. An eigen-equation has been constructed from element equations basing on tangential edges of the tetrahedra element. This equation made up of two square matrices associated with the curl-curl form of the Helmholtz operator. By performing Krylov-Schur iteration loops on them, Eigen-values and their modes have been determined from the diagonal components of the Schur matrices and its transforming matrices. Eigen-pairs as a result have been revealed visually in the schematic representations. The spectra have been compared with each other to identify the effect of boundary conditions.

Influence of the Diagonal Dominance of Modal Damping Matrix on the Decoupling Approximation (모드 댐핑 행렬의 대각선 성분 우세가 비연관화 근사에 미치는 영향)

  • 김정수;최기흥;최기상
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.8
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    • pp.1963-1970
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    • 1993
  • A simple technique to decouple the modal equations of motion of a linear nonclassically damped system is to neglect the off-diagonal elements of the modal damping matrix. This is called the decoupling approximation. It has generally been conceived that smallness of off-diagonal elements relative to the diagonal ones would validate its use. In this study, the relationship between elements of the modal damping matrix and the error arising from the decoupling approximation is explored. It is shown that the enhanced diagonal dominance of the modal damping matrix need not diminish the error. In fact, the error may even increase. Moreover, the error is found to be strongly dependent on the exitation. Therefore, within the practical range of engineering applications, diagonal dominance of the modal damping matrix would not be sufficient to supress the effect of modal coupling.

A Study on The eigen-properties on Varied Structural 2-Dim. Waveguides by Krylov-Schur Iteration Method (Krylov-Schur 순환법을 이용한 다양한 2차원 구조의 도파관들에 관한 연구)

  • Kim, Yeong Min;Lim, Jong Soo
    • Journal of the Institute of Electronics and Information Engineers
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    • v.51 no.2
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    • pp.10-14
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    • 2014
  • Krylov-Schur iteration method has been applied to the 2-Dim. waveguides of the varied geometrical structure. The eigen-equations for them have been constructed from FEM based on the tangential edge vectors of triangular elements. The eigen-values and their modes have been determined from the diagonal components of the Schur matrices and its transforming matrices. The eigen-pairs as the results have been revealed visually in the schematic representations.