• 제목/요약/키워드: LU decomposition

검색결과 52건 처리시간 0.028초

Small Base Station Association and Cooperative Receiver Design for HetNets via Distributed SOCP

  • Lu, Li;Wang, Desheng;Zhao, Hongyi;Liu, Yingzhuang
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제10권12호
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    • pp.5212-5230
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    • 2016
  • How to determine the right number of small base stations to activate in multi-cell uplinks to match traffic from a fixed quantity of K users is an open question. This paper analyses the uplink cooperative that jointly receives base stations activation to explore this question. This paper is different from existing works only consider transmitting power as optimization objective function. The global objective function is formulated as a summation of two terms: transmitting power for data and coordinated overhead for control. Then, the joint base stations activation and beamforming problem is formulated as a mixed integer second order cone optimization. To solve this problem, we develop two polynomial-time distributed methods. Method one is a two-stage solution which activates no more than K small base stations (SBSs). Method two is a heuristic algorithm by dual decomposition to MI-SOCP that activates more SBSs to obtain multiple-antennae diversity gains. Thanks to the parallel computation for each node, our methods are more computationally efficient. The strengths and weaknesses of these two proposed two algorithms are also compared using numerical results.

Adaptive Detection of a Moving Target Undergoing Illumination Changes against a Dynamic Background

  • Lu, Mu;Gao, Yang;Zhu, Ming
    • Journal of the Optical Society of Korea
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    • 제20권6호
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    • pp.745-751
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    • 2016
  • A detection algorithm, based on the combined local-global (CLG) optical-flow model and Gaussian pyramid for a moving target appearing against a dynamic background, can compensate for the inadaptability of the classic Horn-Schunck algorithm to illumination changes and reduce the number of needed calculations. Incorporating the hypothesis of gradient conservation into the traditional CLG optical-flow model and combining structure and texture decomposition enable this algorithm to minimize the impact of illumination changes on optical-flow estimates. Further, calculating optical-flow with the Gaussian pyramid by layers and computing optical-flow at other points using an optical-flow iterative with higher gray-level points together reduce the number of calculations required to improve detection efficiency. Finally, this proposed method achieves the detection of a moving target against a dynamic background, according to the background motion vector determined by the displacement and magnitude of the optical-flow. Simulation results indicate that this algorithm, in comparison to the traditional Horn-Schunck optical-flow algorithm, accurately detects a moving target undergoing illumination changes against a dynamic background and simultaneously demonstrates a significant reduction in the number of computations needed to improve detection efficiency.

Recovering structural displacements and velocities from acceleration measurements

  • Ma, T.W.;Bell, M.;Lu, W.;Xu, N.S.
    • Smart Structures and Systems
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    • 제14권2호
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    • pp.191-207
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    • 2014
  • In this research, an internal model based method is proposed to estimate the structural displacements and velocities under ambient excitation using only acceleration measurements. The structural response is assumed to be within the linear range. The excitation is assumed to be with zero mean and relatively broad bandwidth such that at least one of the fundamental modes of the structure is excited and dominates in the response. Using the structural modal parameters and partial knowledge of the bandwidth of the excitation, the internal models of the structure and the excitation can be respectively established, which can be used to form an autonomous state-space representation of the system. It is shown that structural displacements, velocities, and accelerations are the states of such a system, and it is fully observable when the measured output contains structural accelerations only. Reliable estimates of structural displacements and velocities are obtained using the standard Kalman filtering technique. The effectiveness and robustness of the proposed method has been demonstrated and evaluated via numerical simulations on an eight-story lumped mass model and experimental data of a three-story frame excited by the ground accelerations of actual earthquake records.

Analytical solutions for vibrations of rectangular functionally graded Mindlin plates with vertical cracks

  • Chiung-Shiann Huang;Yun-En Lu
    • Structural Engineering and Mechanics
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    • 제86권1호
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    • pp.69-83
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    • 2023
  • Analytical solutions to problems are crucial because they provide high-quality comparison data for assessing the accuracy of numerical solutions. Benchmark analytical solutions for the vibrations of cracked functionally graded material (FGM) plates are not available in the literature because of the high level of complexity of such solutions. On the basis of first-order shear deformation plate theory (FSDT), this study proposes analytical series solutions for the vibrations of FGM rectangular plates with side or internal cracks parallel to an edge of the plates by using Fourier cosine series and the domain decomposition technique. The distributions of FGM properties along the thickness direction are assumed to follow a simple power law. The proposed analytical series solutions are validated by performing comprehensive convergence studies on the vibration frequencies of cracked square plates with various crack lengths and under various boundary condition combinations and by performing comparisons with published results based on various plate theories and the theory of three-dimensional elasticity. The results reveal that the proposed solutions are in excellent agreement with literature results obtained using the Ritz method on the basis of FSDT. The paper also presents tabulations of the first six nondimensional frequencies of cracked rectangular Al/Al2O3 FGM plates with various aspect ratios, thickness-to-width ratios, crack lengths, and FGM power law indices under six boundary condition combinations, the tabulated frequencies can serve as benchmark data for assessing the accuracy of numerical approaches based on FSDT.

Experimental investigation on flow field around a flapping plate with single degree of freedom

  • Hanyu Wang;Chuan Lu;Wenhai Qu;Jinbiao Xiong
    • Nuclear Engineering and Technology
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    • 제55권6호
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    • pp.1999-2010
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    • 2023
  • Undesirable flapping motion of discs can cause the failure of swing check valves in nuclear passive safety systems. Time-resolved particle image velocimetry (PIV) was employed to investigate the flow characteristics around a free-to-rotate plate and the motion response, with the Reynolds numbers, based on the hydraulic diameter of the channel, from 1.32 × 104 to 3.95 × 104. Appreciable flapping motion (±3.52°) appeared at the Reynolds number of 2.6 × 104 with the frequency of 5.08 Hz. In the low-Reynolds-number case, the plate showed negligible flapping. In the high-Reynolds-number case, the deflection angle increased with reduced flapping amplitude. The torque from the fluid determined the flapping amplitude. In the low-Reynolds-number case, Karman vortices were absent. With increasing Reynolds numbers, Karman vortices developed behind the plate with larger deflection angles. Strong interaction between the wake flow from the leading and trailing edge of the plate was observed. Based on power spectrum density (PSD) analysis, the vortex shedding frequency coincided with the flapping frequency, and the amplitude was positively correlated to the strength of the vortices. Proper orthogonal decomposition (POD) modes evince that, in the case of appreciable motion, coherent structures exhibited a larger spatial scale, enhancing the magnitude of the external torque on the plate.

Low Temperature Interface Modification: Electrochemical Dissolution Mechanism of Typical Iron and Nickel Base Alloys

  • Jiangwei Lu;Zhengyang Xu;Tianyu Geng
    • Journal of Electrochemical Science and Technology
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    • 제15권2호
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    • pp.220-241
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    • 2024
  • Due to its unique advantages, electrochemical machining (ECM) is playing an increasingly significant role in the manufacture of difficult-to-machine materials. Most of the current ECM research is conducted at room temperature, with studies on ECM in a cryogenic environment not having been reported to date. This study is focused on the electrochemical dissolution characteristics of typical iron and nickel base alloys in NaNO3 solution at low temperature (-10℃). The polarization behaviors and passive film properties were studied by various electrochemical test methods. The results indicated that a higher voltage is required for decomposition and more pronounced pitting of their structures occurs in the passive zone in a cryogenic environment. A more in-depth study of the composition and structure of the passive films by X-ray photoelectron spectroscopy and electrochemical impedance spectroscopy showed that the passive films of the alloys are modified at low temperature, and their capacitance characteristics are more prominent, which makes corrosion of the alloys more likely to occur uniformly. These modified passive films have a huge impact on the surface morphologies of the alloys, with non-uniform corrosion suppressed and an improvement in their surface finish, indicating that lowering the temperature improves the localization of ECM. Together with the cryogenic impact of electron energy state compression, the accuracy of ECM can be further improved.

Paper Recommendation Using SPECTER with Low-Rank and Sparse Matrix Factorization

  • Panpan Guo;Gang Zhou;Jicang Lu;Zhufeng Li;Taojie Zhu
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제18권5호
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    • pp.1163-1185
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    • 2024
  • With the sharp increase in the volume of literature data, researchers must spend considerable time and energy locating desired papers. A paper recommendation is the means necessary to solve this problem. Unfortunately, the large amount of data combined with sparsity makes personalizing papers challenging. Traditional matrix decomposition models have cold-start issues. Most overlook the importance of information and fail to consider the introduction of noise when using side information, resulting in unsatisfactory recommendations. This study proposes a paper recommendation method (PR-SLSMF) using document-level representation learning with citation-informed transformers (SPECTER) and low-rank and sparse matrix factorization; it uses SPECTER to learn paper content representation. The model calculates the similarity between papers and constructs a weighted heterogeneous information network (HIN), including citation and content similarity information. This method combines the LSMF method with HIN, effectively alleviating data sparsity and cold-start issues and avoiding topic drift. We validated the effectiveness of this method on two real datasets and the necessity of adding side information.

Crystal Structure and Thermal Stability Study on Tetrabutylammonium Hexamolybdate [n-Bu4N]2[Mo6O19](TBAM)

  • Zhao, Pu Su;Zhao, Zhan Ru;Jian, Fang Fang;Lu, Lu De
    • 대한화학회지
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    • 제47권6호
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    • pp.553-558
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    • 2003
  • $[n-Bu_4N]_2[Mo_6O_{19}]$(TBAM)의 결정구조는 X-ray 분석기로 결정되었다. 그 결정은 monoclinic 계이며 ${\alpha}$=16.314(5), b=17.288(5), c=17.776(4) ${\AA}$, ${\beta}$=101.47(3) 그리고 z=4의 결정파라미터를 갖는 sapce group 이 C2/c인 결정이다 $[Mo_6O{19}]^{2-}$ 음이온에서, Mo 원자는 팔면체의 여섯 개 모서리를 차지하며 각 Mo 원자는 여석개의 산소원자에 배위되어 찌그러진 팔면체 배위 기하학을 지닌다. Mo-Ot(말단기), Mo-Ob(연결된), 그리고Mo-Oc(중앙)의 평균거리는 각각 1.680 ${\AA}$, 1.931 ${\AA}$ 및 2.325 ${\AA}$ 이다. $[n-Bu_4N]^+$ 양이온에서 N원자는 약간 찌그러진 사면체 모형을 갖는다. 격자안에서 폭 넓은 C-H ${\cdots}$ O 수소결합이 있으며, 그것에 의하여 분자들을 연결하고 결정구조를 안정화 한다. 열분석에 의하여 제목의 열적분핸ㄴ 두개의 전이가 일어나며 356.0와 803.5 $^{\circ}$에서 각각 무게를 잃는다. 그리고 분해된 생성물은 $Mo_2O_2$로 추정된다. 따라서, 제목의 화합물은 높은 열적 안정성을 갖는다.

C-N코팅 SCM415강의 마찰$\cdot$마모 특성에 관한 연구 (A Study on the friction and Wear Characteristics of C-N Coated SCM415 Steel)

  • 유성기;노용;김태옥;염철만;조흥진;조성민
    • 한국안전학회지
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    • 제20권1호
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    • pp.18-23
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    • 2005
  • This study deals with the friction and wear characteristics of C-N coated SCM415 steel. The PSII(plasma source ion implantation) apparatus was built and a SCM415 test piece with steel substrate was treated with carbon nitrogen by this apparatus. The composition and structure of the surface layer were analyzed and compared with that of PVD(physical vapor decomposition) coated TiN layer. It was found that both of friction coefficient of C-N coating and TiN coating decreased with increasing load, however, C-N coating showed relatively lower faction coefficient than that of TiN coating. The micro-vickers hardness of C-N film is 3200 Hv, which is $32\~43\%$ higher than that of TiN film. The critical load of C-N film is 52N, which is $25\%$ higher than that of TiN film. The hardness of C-N film fabricated by Plasma ion implantation is $61\~70\%$ higher than that of base material, and faction coefficient is $14\~50\%$ lower than that of base material. It is also interesting to note that the friction was changed from adhesive wear mode to light oxidizing wear mode.

Structural and Thermal Characteristics of a High-Nitrogen Energetic Material: G(AHDNE)

  • Lu, Lei;Xu, Kangzhen;Zhang, Hang;Wang, Gang;Huang, Jie;Wang, Bozhou;Zhao, Fengqi
    • Bulletin of the Korean Chemical Society
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    • 제33권7호
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    • pp.2352-2358
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    • 2012
  • A high-nitrogen energetic salt, 1-amino-1-hydrazino-2,2-dinitroethylene guanidine salt [G(AHDNE)], was synthesized by reacting of 1-amino-1-hydrazino-2,2-dinitroethylene (AHDNE) and guanidine hydrochloride in sodium hydroxide aqueous solution. The theoretical investigation on G(AHDNE) was carried out by B3LYP/$6-311+G^*$ method. The thermal behaviors of G(AHDNE) were studied with DSC and TG-DTG methods, and the result presents an intense exothermic decomposition process. The enthalpy, apparent activation energy and pre-exponential constant of the process are $-1060J\;g^{-1}$, $148.7kJ\;mol^{-1}$ and $10^{15.90}s^{-1}$, respectively. The critical temperature of thermal explosion of G(AHDNE) is $152.63^{\circ}C$. The specific heat capacity of G(AHDNE) was studied with micro-DSC method and theoretical calculation method, and the molar heat capacity is $314.69J\;mol^{-1}K^{-1}$ at 298.15 K. Adiabatic time-to-explosion of G(AHDNE) was calculated to be a certain value between 60-72 s. The detonation velocity and detonation pressure were also estimated. G(AHDNE) presents good performances.