• Title/Summary/Keyword: Matrix-free

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Low Complexity Zero-Forcing Beamforming for Distributed Massive MIMO Systems in Large Public Venues

  • Li, Haoming;Leung, Victor C.M.
    • Journal of Communications and Networks
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    • v.15 no.4
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    • pp.370-382
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    • 2013
  • Distributed massive MIMO systems, which have high bandwidth efficiency and can accommodate a tremendous amount of traffic using algorithms such as zero-forcing beam forming (ZFBF), may be deployed in large public venues with the antennas mounted under-floor. In this case the channel gain matrix H can be modeled as a multi-banded matrix, in which off-diagonal entries decay both exponentially due to heavy human penetration loss and polynomially due to free space propagation loss. To enable practical implementation of such systems, we present a multi-banded matrix inversion algorithm that substantially reduces the complexity of ZFBF by keeping the most significant entries in H and the precoding matrix W. We introduce a parameter p to control the sparsity of H and W and thus achieve the tradeoff between the computational complexity and the system throughput. The proposed algorithm includes dense and sparse precoding versions, providing quadratic and linear complexity, respectively, relative to the number of antennas. We present analysis and numerical evaluations to show that the signal-to-interference ratio (SIR) increases linearly with p in dense precoding. In sparse precoding, we demonstrate the necessity of using directional antennas by both analysis and simulations. When the directional antenna gain increases, the resulting SIR increment in sparse precoding increases linearly with p, while the SIR of dense precoding is much less sensitive to changes in p.

Design and Implementation of Matrix Converter Based on Space Vector Modulation (SVM를 적용한 매트릭스 컨버터의 설계 및 구현)

  • Yang Chun-Suk;Yoon In-Sik;Kim Kyung-Seo
    • The Transactions of the Korean Institute of Power Electronics
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    • v.10 no.6
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    • pp.550-559
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    • 2005
  • The matrix converter provides sinusoidal input and output wave forms, bidirectional power flow, controllable input power factor and a long life, compared to the VSI(Voltage Source Inverter) with diode rectification stage at the input. However it has tasks, such as complexity of the control method, ride-through problem and low voltage-ratio limitation, to overcome for commercializing, This paper describes the design, construction and implementation of matrix converter based on space vector modulation technique. The implemented prototype of matrix converter is built using the exclusive IGBT module and control circuit constituted with DSP and CPLD and it has an input filter, overvoltage protection circuit and commutation means for overcoming practical issues. The good results tested using an induction motor are also presented.

Global Sliding Mode Control based on a Hyperbolic Tangent Function for Matrix Rectifier

  • Hu, Zhanhu;Hu, Wang;Wang, Zhiping;Mao, Yunshou;Hei, Chenyang
    • Journal of Power Electronics
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    • v.17 no.4
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    • pp.991-1003
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    • 2017
  • The conventional sliding mode control (CSMC) has a number of problems. It may cause dc output voltage ripple and it cannot guarantee the robustness of the whole system for a matrix rectifier (MR). Furthermore, the existence of a filter can decrease the input power factor (IPF). Therefore, a novel global sliding mode control (GSMC) based on a hyperbolic tangent function with IPF compensation for MRs is proposed in this paper. Firstly, due to the reachability and existence of the sliding mode, the condition of the matrix rectifier's robustness and chattering elimination is derived. Secondly, a global switching function is designed and the determination of the transient operation status is given. Then a SMC compensation strategy based on a DQ transformation model is applied to compensate the decreasing IPF. Finally, simulations and experiments are carried out to verify the correctness and effectiveness of the control algorithm. The obtained results show that compared with CSMC, applying the proposed GSMC based on a hyperbolic tangent function for matrix rectifiers can achieve a ripple-free output voltage with a unity IPF. In addition, the rectifier has an excellent robust performance at all times.

An Object Oriented C++ Program for Free Vibration Analysis of Framed Structures (뼈대구조물(構造物)의 자유진동해석(自由振動解析)을 위한 객체지향(客體指向) c++ 프로그램)

  • Shin, Young Shik;Suh, Jin Kook
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.1
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    • pp.119-129
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    • 1994
  • This paper describes a $C^{{+}{+}}$ free vibration analysis program of structures for personal computer. This program was developed by object oriented programming method which is the latest trend in programming practice. The object-oriented programming method which has the superior reuseability and expansibility to procedural programming provides various choice of menus and easy modification of the program, and reduces the development time and size of the program. This object-oriented free vibration analysis program written in $C^{{+}{+}}$ language consists of Vector and Matrix classes, Structural Analysis and GUI classes. The efficiency and validity of the program were examined by solving several numerical examples. The static and free vibration analyses of the framed structures were satisfactorily performed by this program on a personal computer.

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Free vibration analysis of large sag catenary with application to catenary jumper

  • Klaycham, Karun;Nguantud, Panisara;Athisakul, Chainarong;Chucheepsakul, Somchai
    • Ocean Systems Engineering
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    • v.10 no.1
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    • pp.67-86
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    • 2020
  • The main goal of this study is to investigate the free vibration analysis of a large sag catenary with application to the jumper in hybrid riser system. The equation of motion is derived by using the variational method based on the virtual work principle. The finite element method is applied to evaluate the numerical solutions. The large sag catenary is utilized as an initial configuration for vibration analysis. The nonlinearity due to the large sag curvature of static configuration is taken into account in the element stiffness matrix. The natural frequencies of large sag catenary and their corresponding mode shapes are determined by solving the eigenvalue problem. The numerical examples of a large sag catenary jumpers are presented. The influences of bending rigidity and large sag shape on the free vibration behaviors of the catenary jumper are provided. The results indicate that the increase in sag reduces the jumper natural frequencies. The corresponding mode shapes of the jumper with large sag catenary shape are comprised of normal and tangential displacements. The large sag curvature including in the element stiffness matrix increases the natural frequency especially for a case of very large sag shape. Mostly, the mode shapes of jumper are dominated by the normal displacement, however, the tangential displacement significantly occurs around the lowest point of sag. The increase in degree of inclination of the catenary tends to increase the natural frequencies.

Dynamic analysis of semi-rigidly connected and partially embedded piles via the method of reverberation-ray matrix

  • Yan, Wei;Chen, W.Q.
    • Structural Engineering and Mechanics
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    • v.42 no.2
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    • pp.269-289
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    • 2012
  • Free vibration and dynamic responses of piles semi-rigidly connected with the superstructures are investigated. Timoshenko beam theory is employed to characterize the pile partially embedded in a two-parameter elastic foundation. The formulations for the method of reverberation-ray matrix (MRRM) are then derived to investigate the dynamics of the pile with surface cracks, which are modeled as massless rotational springs. Comparison with existent numerical and experimental results indicates the proposed method is very effective and accurate for dynamic analysis, especially in the high frequency range. Finally, the effects of some physical parameters on the natural frequencies, frequency responses and transient responses of the piles are studied.

Polyphase Representation of the Relationships Among Fullband, Subband, and Block Adaptive Filters

  • Tsai, Chimin
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.1435-1438
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    • 2005
  • In hands-free telephone systems, the received speech signal is fed back to the microphone and constitutes the so-called echo. To cancel the effect of this time-varying echo path, it is necessary to device an adaptive filter between the receiving and the transmitting ends. For a typical FIR realization, the length of the fullband adaptive filter results in high computational complexity and low convergence rate. Consequently, subband adaptive filtering schemes have been proposed to improve the performance. In this work, we use deterministic approach to analyze the relationship between fullband and subband adaptive filtering structures. With block adaptive filtering structure as an intermediate stage, the analysis is divided into two parts. First, to avoid aliasing, it is found that the matrix of block adaptive filters is in the form of pseudocirculant, and the elements of this matrix are the polyphase components of the fullband adaptive filter. Second, to transmit the near-end voice signal faithfully, the analysis and the synthesis filter banks in the subband adaptive filtering structure must form a perfect reconstruction pair. Using polyphase representation, the relationship between the block and the subband adaptive filters is derived.

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Interfacial Reaction Between Oxide Fillers and $P_2O_5$ Glass Matrix for Barrier Ribs in Plasma Display Panel

  • Chong, Eu-Gene;Jeon, Jae-Sam;Sung, Woo-Kyung;Kim, Nam-Sok;Kim, Hyung-Sun
    • 한국정보디스플레이학회:학술대회논문집
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    • 2006.08a
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    • pp.935-937
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    • 2006
  • Phosphate glass system is expected to be useful as a lead-free material in many devices in plasma display panels (PDP). The present study is mainly focused on the evaluation of interface reaction between ceramic fillers and phosphate glass matrix for barrier ribs in PDP. The results suggest that properties of barrier rib depend on the crystallization behavior and interface reaction between the fillers and glass matrix.

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A CLASS OF GRADE THREE DETERMINANTAL IDEALS

  • Kang, Oh-Jin;Kim, Joo-Hyung
    • Honam Mathematical Journal
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    • v.34 no.2
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    • pp.279-287
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    • 2012
  • Let $k$ be a field containing the field $\mathbb{Q}$ of rational numbers and let $R=k[x_{ij}{\mid}1{\leq}i{\leq}m,\;1{\leq}j{\leq}n]$ be the polynomial ring over a field $k$ with indeterminates $x_{ij}$. Let $I_t(X)$ be the determinantal ideal generated by the $t$-minors of an $m{\times}n$ matrix $X=(x_{ij})$. Eagon and Hochster proved that $I_t(X)$ is a perfect ideal of grade $(m-t+1)(n-t+1)$. We give a structure theorem for a class of determinantal ideals of grade 3. This gives us a characterization that $I_t(X)$ has grade 3 if and only if $n=m+2$ and $I_t(X)$ has the minimal free resolution $\mathbb{F}$ such that the second dierential map of $\mathbb{F}$ is a matrix defined by complete matrices of grade $n+2$.

Rapid Surface Heating Promotes Laser Desorption Ionization of Thermally Labile Molecules from Surfaces

  • Han, Sang Yun
    • Mass Spectrometry Letters
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    • v.7 no.4
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    • pp.91-95
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    • 2016
  • In recent years, matrix-free laser desorption ionization (LDI) for mass spectrometry of thermally labile molecules has been an important research subject in the pursuit of new ionization methods to serve as alternatives to the conventional matrix-assisted laser desorption ionization (MALDI) method. While many recent studies have reported successful LDI of thermally labile molecules from various surfaces, mostly from surfaces with nanostructures, understanding of what drives the LDI process still requires further study. This article briefly reviews the thermal aspects involved in the LDI mechanism, which can be characterized as rapid surface heating. The thermal mechanism was supported by observed LDI and postsource decay (PSD) of peptide ions produced from flat surfaces with special thermal properties including amorphous Si (a-Si) and tungsten silicide ($WSi_x$). In addition, the concept of rapid surface heating further suggests a practical strategy for the preparation of LDI sample plates, which allows us to choose various surface materials including crystalline Si (c-Si) and Au tailorable to specific applications.