• Title/Summary/Keyword: subspace decomposition

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THE ALTERNATIVE DUNFORD-PETTIS PROPERTY IN SUBSPACES OF OPERATOR IDEALS

  • Moshtaghioun, S. Mohammad
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.4
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    • pp.743-750
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    • 2010
  • For several Banach spaces X and Y and operator ideal $\cal{U}$, if $\cal{U}$(X, Y) denotes the component of operator ideal $\cal{U}$; according to Freedman's definitions, it is shown that a necessary and sufficient condition for a closed subspace $\cal{M}$ of $\cal{U}$(X, Y) to have the alternative Dunford-Pettis property is that all evaluation operators $\phi_x\;:\;\cal{M}\;{\rightarrow}\;Y$ and $\psi_{y^*}\;:\;\cal{M}\;{\rightarrow}\;X^*$ are DP1 operators, where $\phi_x(T)\;=\;Tx$ and $\psi_{y^*}(T)\;=\;T^*y^*$ for $x\;{\in}\;X$, $y^*\;{\in}\;Y^*$ and $T\;{\in}\;\cal{M}$.

Active Noise Control Using Wavelet Transform Domain Least Mean Square (웨이블릿 변환역 최소평균자승법을 이용한 능동 소음 제어)

  • Kim, Doh-Hyoung;Park, Young-Jin
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.269-273
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    • 2000
  • This paper describes Active Noise Control (ANC) using Discrete Wavelet Transform (DWT) Domain Least Mean Square (LMS) Method. DWT-LMS is one of the transform domain input decorrelation LMS and improves the convergence speed of adaptive filter especially when the input signal is highly correlated. Conventional transform domain LMS's use Discrete Cosine Transform (DCT) because it offers linear band signal decomposition and fast transform algorithm. Wavelet transform can project the input signal into the several octave band subspace and offers more efficient sliding fast transform algorithm. In this paper, we propose Wavelet transform domain LMS algorithm and shows its performance is similar to DCT LMS in some cases using ANC simulation.

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Reduced Rank Eigen-Space Beamforming for Adaptive Array Systems (적응형 배열 안테나를 위한 감소 차수 고유 공간 빔형성 알고리즘)

  • Hyeon, Seung-Heon;Choi, Seung-Won
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.33 no.4C
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    • pp.336-341
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    • 2008
  • In this paper, beamforming algorithm is proposed which can obtain diversity gain in beamforming system that deploy antenna elements with half-wavelength. The proposed algorithm provides beam-pattern using eigen-vectors that span received signal subspace. The criterion to decide optimal rank of eigen-space used for beamforming is also proposed. A beamforming system applied the proposed algorithm shows better performance with diversity gain as getting larger angle spread. This paper provides a description of proposed algorithm with analysis of the performance using various computer simulations.

Joint optimization of beamforming and power allocation for DAJ-based untrusted relay networks

  • Yao, Rugui;Lu, Yanan;Mekkawy, Tamer;Xu, Fei;Zuo, Xiaoya
    • ETRI Journal
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    • v.40 no.6
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    • pp.714-725
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    • 2018
  • Destination-assisted jamming (DAJ) is usually used to protect confidential information against untrusted relays and eavesdroppers in wireless networks. In this paper, a DAJ-based untrusted relay network with multiple antennas installed is presented. To increase the secrecy, a joint optimization of beamforming and power allocation at the source and destination is studied. A matched-filter precoder is introduced to maximize the cooperative jamming signal by directing cooperative jamming signals toward untrusted relays. Then, based on generalized singular-value decomposition (GSVD), a novel transmitted precoder for confidential signals is devised to align the signal into the subspace corresponding to the confidential transmission channel. To decouple the precoder design and optimal power allocation, an iterative algorithm is proposed to jointly optimize the above parameters. Numerical results validate the effectiveness of the proposed scheme. Compared with other schemes, the proposed scheme shows significant improvement in terms of security performance.

LOCAL SPECTRAL THEORY II

  • YOO, JONG-KWANG
    • Journal of applied mathematics & informatics
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    • v.39 no.3_4
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    • pp.487-496
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    • 2021
  • In this paper we show that if A ∈ L(X) and B ∈ L(Y), X and Y complex Banach spaces, then A ⊕ B ∈ L(X ⊕ Y) is subscalar if and only if both A and B are subscalar. We also prove that if A, Q ∈ L(X) satisfies AQ = QA and Qp = 0 for some nonnegative integer p, then A has property (C) (resp. property (𝛽)) if and only if so does A + Q (resp. property (𝛽)). Finally, we show that A ∈ L(X, Y) and B, C ∈ L(Y, X) satisfying operator equation ABA = ACA and BA ∈ L(X) is subscalar with property (𝛿) then both Lat(BA) and Lat(AC) are non-trivial.

An Efficient Matrix-Vector Product Algorithm for the Analysis of General Interconnect Structures (일반적인 연결선 구조의 해석을 위한 효율적인 행렬-벡터 곱 알고리즘)

  • Jung, Seung-Ho;Baek, Jong-Humn;Kim, Joon-Hee;Kim, Seok-Yoon
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.38 no.12
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    • pp.56-65
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    • 2001
  • This paper proposes an algorithm for the capacitance extraction of general 3-dimensional conductors in an ideal uniform dielectric that uses a high-order quadrature approximation method combined with the typical first-order collocation method to enhance the accuracy and adopts an efficient matrix-vector product algorithm for the model-order reduction to achieve efficiency. The proposed method enhances the accuracy using the quadrature method for interconnects containing corners and vias that concentrate the charge density. It also achieves the efficiency by reducing the model order using the fact that large parts of system matrices are of numerically low rank. This technique combines an SVD-based algorithm for the compression of rank-deficient matrices and Gram-Schmidt algorithm of a Krylov-subspace iterative technique for the rapid multiplication of matrices. It is shown through the performance evaluation procedure that the combination of these two techniques leads to a more efficient algorithm than Gaussian elimination or other standard iterative schemes within a given error tolerance.

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Seismic safety assessment of eynel highway steel bridge using ambient vibration measurements

  • Altunisik, Ahmet Can;Bayraktar, Alemdar;Ozdemir, Hasan
    • Smart Structures and Systems
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    • v.10 no.2
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    • pp.131-154
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    • 2012
  • In this paper, it is aimed to determine the seismic behaviour of highway bridges by nondestructive testing using ambient vibration measurements. Eynel Highway Bridge which has arch type structural system with a total length of 216 m and located in the Ayvaclk county of Samsun, Turkey is selected as an application. The bridge connects the villages which are separated with Suat U$\breve{g}$urlu Dam Lake. A three dimensional finite element model is first established for a highway bridge using project drawings and an analytical modal analysis is then performed to generate natural frequencies and mode shapes in the three orthogonal directions. The ambient vibration measurements are carried out on the bridge deck under natural excitation such as traffic, human walking and wind loads using Operational Modal Analysis. Sensitive seismic accelerometers are used to collect signals obtained from the experimental tests. To obtain experimental dynamic characteristics, two output-only system identification techniques are employed namely, Enhanced Frequency Domain Decomposition technique in the frequency domain and Stochastic Subspace Identification technique in time domain. Analytical and experimental dynamic characteristic are compared with each other and finite element model of the bridge is updated by changing of boundary conditions to reduce the differences between the results. It is demonstrated that the ambient vibration measurements are enough to identify the most significant modes of highway bridges. After finite element model updating, maximum differences between the natural frequencies are reduced averagely from 23% to 3%. The updated finite element model reflects the dynamic characteristics of the bridge better, and it can be used to predict the dynamic response under complex external forces. It is also helpful for further damage identification and health condition monitoring. Analytical model of the bridge before and after model updating is analyzed using 1992 Erzincan earthquake record to determine the seismic behaviour. It can be seen from the analysis results that displacements increase by the height of bridge columns and along to middle point of the deck and main arches. Bending moments have an increasing trend along to first and last 50 m and have a decreasing trend long to the middle of the main arches.

System identification of a cable-stayed bridge using vibration responses measured by a wireless sensor network

  • Kim, Jeong-Tae;Ho, Duc-Duy;Nguyen, Khac-Duy;Hong, Dong-Soo;Shin, Sung Woo;Yun, Chung-Bang;Shinozuka, Masanobu
    • Smart Structures and Systems
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    • v.11 no.5
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    • pp.533-553
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    • 2013
  • In this paper, system identification of a cable-stayed bridge in Korea, the Hwamyung Bridge, is performed using vibration responses measured by a wireless sensor system. First, an acceleration based-wireless sensor system is employed for the structural health monitoring of the bridge, and wireless sensor nodes are deployed on a deck, a pylon and several selected cables. Second, modal parameters of the bridge are obtained both from measured vibration responses and finite element (FE) analysis. Frequency domain decomposition and stochastic subspace identification methods are used to obtain the modal parameters from the measured vibration responses. The FE model of the bridge is established using commercial FE software package. Third, structural properties of the bridge are updated using a modal sensitivity-based method. The updating work improves the accuracy of the FE model so that structural behaviors of the bridge can be represented better using the updated FE model. Finally, cable forces of the selected cables are also identified and compared with both design and lift-off test values.

Full Scale Measurement on Stay Cables of a Cable Stayed Bridgefor Estimation of Damping Ratios (실교량 계측에 기반한 사장 케이블의 감쇠비 추정)

  • Kim, Saang-Bum;Im, Duk-Ki;Kim, Chang-Hyun;Lee, Jong-Sup
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2009.04a
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    • pp.421-424
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    • 2009
  • 사장교 케이블의 감쇠비를 추정하기 위하여 실교량 계측을 수행하였다. 사장교 케이블은 감쇠비가 낮고, 고유 진동수가 케이블의 길이에 따라 넓은 범위에 걸쳐 분포하므로, 바람이나 지점 가진에 의하여 과도한 진동이 발생될 수 있다. 케이블 진동 현상의 원인과 발생되고 진행되는 구조는 다양하나, 진동 현상의 가장 중요한 요소는 감쇠비이며, 케이블 진동의 과도한 진동을 감소시키기 위하여, 케이블의 감쇠비를 증가시키는 방법이 널리 사용되고 있다. 사장교 케이블의 다양한 진동 현상에 대한 발생 여부를 판단하고, 케이블 댐퍼와 같은 여러 제진 대책을 설계하고, 설치된 케이블 제진 대책의 성능을 검증하기 위해서는, 케이블의 감쇠비를 추정하는 것이 매우 중요하다. 일반적으로 사용되어져 온 케이블의 감쇠비 추정 방법은 정해진 모드로 자유 진동을 발생시킨 후, 진폭의 감소 추세로부터 Logarithmic Decrement를 계산하여 감쇠비를 구하는 방법이다. 그러나 수백m에 이르는 긴 케이블에서 정해진 모드의 자유 진동을 발생시키는 것은 쉽지 않다. 최근에는 상시 진동으로부터 감쇠비를 추정하는 여러 기법들이 개발되어져 왔으며, Frequency Domain Decomposition Method나 Stochastic Subspace Identification Method 등이 많이 사용되고 있다. 이 논문에서는, 상시진동 기반의 기법들을 사용하여, 사장교 케이블의 감쇠비를 추정하였으며, 추정된 감쇠비의 신뢰도를 높이기 위해, 측정시간을 늘리고, 가진 풍하중의 영향을 반영하여 보정하였다. 또한 추정된 감쇠비를 Buffeting 진동과 와류 진동과 같이 진동 현상과 진폭별로 분석하였다.

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Modal identification of Canton Tower under uncertain environmental conditions

  • Ye, Xijun;Yan, Quansheng;Wang, Weifeng;Yu, Xiaolin
    • Smart Structures and Systems
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    • v.10 no.4_5
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    • pp.353-373
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    • 2012
  • The instrumented Canton Tower is a 610 m high-rise structure, which has been considered as a benchmark problem for structural health monitoring (SHM) research. In this paper, an improved automatic modal identification method is presented based on a natural excitation technique in conjunction with the eigensystem realization algorithm (NExT/ERA). In the proposed modal identification method, damping ratio, consistent mode indicator from observability matrices (CMI_O) and modal amplitude coherence (MAC) are used as criteria to distinguish the physically true modes from spurious modes. Enhanced frequency domain decomposition (EFDD), the data-driven stochastic subspace identification method (SSI-DATA) and the proposed method are respectively applied to extract the modal parameters of the Canton Tower under different environmental conditions. Results of modal parameter identification based on output-only measurements are presented and discussed. User-selected parameters used in those methods are suggested and discussed. Furthermore, the effect of environmental conditions on the dynamic characteristics of Canton tower is investigated.