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Post-post-Newtonian deflection of light ray in multiple systems with PPN parameters
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作者 宫衍香 吴晓梅 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第2期83-87,共5页
The post-Newtonian scheme in multiple systems with post-Newtonian parameters presented by Klioner and Soffel is extended to the post-post-Newtonian (PPN) order for light propagation problem in the solar system. Unde... The post-Newtonian scheme in multiple systems with post-Newtonian parameters presented by Klioner and Soffel is extended to the post-post-Newtonian (PPN) order for light propagation problem in the solar system. Under considering the solar system experiment requirement, a new parameter ε is introduced. This extension does not change the virtue of the scheme on the linear partial differential equations of the potential and vector potential mentioned in previous work. Furthermore, this extension is based on the former work done by Richter and Matzner in one global system theory. As an application, we also consider the deflection of light ray in the global coordinates. And the deflection angle of light ray is obtained with post-Newtonian parameters. 展开更多
关键词 post-Newtonian approximation deflection of light ray multiple systems parameterized metric
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Interaction between the brain and multiple organ systems in schizophrenia
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作者 Jin Lin Si-Tong Feng +5 位作者 Zi-Yao Wu Lin-Rui Dong Dong-Qing Yin Hong Zhu Hong-Xiao Jia Yan-Zhe Ning 《World Journal of Psychiatry》 2025年第8期131-138,共8页
Schizophrenia is characterized by psychotic symptoms,negative symptoms,and cognitive deficits,profoundly affecting individuals and their families.The etiology is multifactorial,involving genetic,endocrine,and immunolo... Schizophrenia is characterized by psychotic symptoms,negative symptoms,and cognitive deficits,profoundly affecting individuals and their families.The etiology is multifactorial,involving genetic,endocrine,and immunological risk factors.It is thought that schizophrenia is exclusively linked to alterations in brain structure and function,while the relationship between the brain and many organs may lack sufficient attention.Increasing evidence indicates abnormalities of the interactions between the brain and many organs in patients with schizophrenia.Inter-organ crosstalk affects the onset,course,and management of schizophrenia.Besides,the complex relationship between autonomic nervous system,endocrine system,and immune system further facilitates the development of schizophrenia.The present review summarizes the relationships between the brain and multiple organ systems in schizophrenia,providing new perspectives on the underlying pathophysiological mechanisms of schizophrenia. 展开更多
关键词 SCHIZOPHRENIA Brain-body interactions Pathophysiological mechanisms multiple organic systems Systemic integration
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Exponential Stability of Large-Scale Non-Linear Systems with Multiple The Delays
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作者 解三名 吴叶军 吴沧浦 《Journal of Beijing Institute of Technology》 EI CAS 1995年第1期41+36-41,共7页
The problem of stabilizing a class of large-scale non-linear multiple delay systems is considered.The complicated system is decomposed into several subsystems; each function of them is expressed by a set of components... The problem of stabilizing a class of large-scale non-linear multiple delay systems is considered.The complicated system is decomposed into several subsystems; each function of them is expressed by a set of components of the overall state vector,with interconnections between them, and the subsystems are coupled by the delayed state. In this paper, a method is devised to be a suitable choice of state feedback controls of every subsystems, moreover, it is proved that the large-scale system is exponential stable. 展开更多
关键词 large-scale systems/exponential stability multiple delay systems
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Quasi-synchronous control of uncertain multiple electrohydraulic systems with prescribed performance constraint and input saturation 被引量:1
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作者 Shuai LI Qing GUO +2 位作者 Yan SHI Yao YAN Dan JIANG 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2023年第9期416-425,共10页
This article focuses on the high accuracy quasi-synchronous control issue of multiple electrohydraulic systems(MEHS).In order to overcome the negative effects of parameter uncertainty and external load interference of... This article focuses on the high accuracy quasi-synchronous control issue of multiple electrohydraulic systems(MEHS).In order to overcome the negative effects of parameter uncertainty and external load interference of MEHS,a kind of finite-time disturbance observer(FTDO)via terminal sliding mode method is constructed based on the MEHS model to achieve fast and accuracy estimation and compensation ability.To avoid the differential explosion in backstepping iteration,the dynamic surface control is used in this paper to guarantee the follower electrohydraulic nodes synchronize to the leader motion with a better performance.Furthermore,a timevarying barrier Lyapunov function(tvBLF)is adopted during the controller design process to constraint the output tracking error of MEHS in a prescribed performance with time-varying exponential function.As the initial state condition is relax by tvBLF,the input saturation law is also adopted during the controller design process in this paper to restrain the surges of input signals,which can avoid the circuit and mechanical structure damage caused by the volatile input signal.An MEHS experimental bench is constructed to verify the effectiveness of the theoretical conclusions proposed in this paper and the advantages of the proposed conclusions in this paper are illustrated by a series of contradistinctive experimental results. 展开更多
关键词 Backstepping Dynamic surface Finite-time disturbance observer Input saturation multiple Electrohydraulic systems Output error constraint Quasi-synchronous control
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Capacity and QoS Based Codebook Construction for MIMO Precoded Spatial Multiplexing Systems with Limited Feedback 被引量:2
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作者 杭娟 佘锋 +1 位作者 罗汉文 黄建国 《Journal of Shanghai Jiaotong university(Science)》 EI 2009年第2期215-218,共4页
This paper deals with the design and performance analysis of transmit precoder optimization for multiple input multiple output(MIMO) systems with limited feedback of channel state information.A capacity criterion base... This paper deals with the design and performance analysis of transmit precoder optimization for multiple input multiple output(MIMO) systems with limited feedback of channel state information.A capacity criterion based optimal codebook construction algorithm for MIMO precoded spatial multiplexing systems is presented. The optimal precoder structure combining precoding and power allocation is employed.Simulation results show that the capacity criteria based codebook can achieve higher capacity than that of equally power allocation based codebook of previous research. 展开更多
关键词 multiple input multiple output (MIMO) systems PRECODING Lloyd algorithm channel state information (CSI)
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Design and Optimization of Multiple Interconnected Utility Systems in An Integrated Refining and Petrochemical Complex 被引量:1
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作者 Bai Haobo Li Shiyu +1 位作者 Wang Xupeng Liu Chang 《China Petroleum Processing & Petrochemical Technology》 SCIE CAS 2020年第4期126-136,共11页
In an integrated refining and petrochemical complex,a centralized utility system(CUS)is introduced to integrate the steam demands of production plants.Besides,two sub-utility systems(SUSs)located inside the alkene and... In an integrated refining and petrochemical complex,a centralized utility system(CUS)is introduced to integrate the steam demands of production plants.Besides,two sub-utility systems(SUSs)located inside the alkene and refinery plants,respectively,can satisfy the shaft demands.It is difficult to determine the steam production of the CUS because the steam demands of the alkene and refinery plants also depend on the design and operation of the SUSs.To explore the complicated interaction between the CUS and SUSs,we proposed a mixed-integer nonlinear programming(MINLP)model for the design and optimization of multiple interconnected utility systems to minimize the total annualized cost(TAC).An extended superstructure was suggested to contain multiple inter-plant connected steam pipe alternatives between the CUS and SUSs.A more accurate model of the complex steam turbine was proposed.Then the proposed MINLP framework is applied to a new integrated refining and petrochemical complex.Two scenarios are investigated in the case study to explore the effect of steam main temperatures on system configurations and operating parameters.By optimizing the main temperatures,a TAC of$2.7 million can be saved.Judging from the results of the two scenarios,the feasibility and effectiveness of the proposed framework for the design and optimization of multiple interconnected utility systems have been demonstrated. 展开更多
关键词 MINLP model multiple interconnected utility systems complex steam turbines steam main temperatures
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Researted FOM for Multiple Shifted Linear Systems
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作者 李占稳 汪勇 顾桂定 《Journal of Shanghai University(English Edition)》 CAS 2005年第2期107-113,共7页
The seed method is used for solving multiple linear systems A (i)x (i) =b (i) for 1≤i≤s, where the coefficient matrix A (i) and the right-hand side b (i) are different in general. It is known that the CG meth... The seed method is used for solving multiple linear systems A (i)x (i) =b (i) for 1≤i≤s, where the coefficient matrix A (i) and the right-hand side b (i) are different in general. It is known that the CG method is an effective method for symmetric coefficient matrices A (i). In this paper, the FOM method is employed to solve multiple linear sy stems when coefficient matrices are non-symmetric matrices. One of the systems is selected as the seed system which generates a Krylov subspace, then the resi duals of other systems are projected onto the generated Krylov subspace to get t he approximate solutions for the unsolved ones. The whole process is repeated u ntil all the systems are solved. 展开更多
关键词 multiple linear systems seed method Krylov subspace FOM shifted systems.
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Adaptive robust simultaneous stabilization of multiple nn-degree-of-freedom robot systems
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作者 Haiying Zhang Renming Yang 《Control Theory and Technology》 EI CSCD 2022年第1期80-94,共15页
In this paper,the adaptive robust simultaneous stabilization problem of uncertain multiple n-degree-of-freedom(n-DOF)robot systems is studied using the Hamiltonian function method,and the corresponding adaptive L2 con... In this paper,the adaptive robust simultaneous stabilization problem of uncertain multiple n-degree-of-freedom(n-DOF)robot systems is studied using the Hamiltonian function method,and the corresponding adaptive L2 controller is designed.First,we investigate the adaptive simultaneous stabilization problem of uncertain multiple n-DOF robot systems without external disturbance.Namely,the single uncertain n-DOF robot system is transformed into an equivalent Hamiltonian form using the unified partial derivative operator(UP-DO)and potential energy shaping method,and then a high dimensional Hamiltonian system for multiple uncertain robot systems is obtained by applying augmented dimension technology,and a single output feedback controller is designed to ensure the simultaneous stabilization for the higher dimensional Hamiltonian system.On this basis,we further study the adaptive robust simultaneous stabilization control problem for the uncertain multiple n-DOF robot systems with external disturbances,and design an adaptive robust simultaneous stabilization controller.Finally,the simulation results show that the adaptive robust simultaneous stabilization controller designed in this paper is very effective in stabilizing multi-robot systems at the same time. 展开更多
关键词 multiple robot systems Adaptive robust control Simultaneous stabilization Hamiltonian function method
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ROBUSTNESS OF MULTIPLE-LIMB MANIPULATION SYSTEMS
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作者 李剑锋 张玉茹 张启先 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 1999年第1期43-49,共7页
The characteristic that multiple limb manipulation systems can resist disturbance external forces without relying on the feedback control of joint torques, called the robustness, has been addressed by several resear... The characteristic that multiple limb manipulation systems can resist disturbance external forces without relying on the feedback control of joint torques, called the robustness, has been addressed by several researchers. Based on their results, a further study of robustness is presented in this paper. By decomposing the space of external forces into two subspaces, the necessary and sufficient condition for a system to have robustness is given and a definition of robustness which is applicable to any multiple limb systems is also proposed. For the purpose of the evaluation of robustness, a new quality measure — critical disturbance external force and its algorithm are put forward. Finally, two examples of robustness analysis are presented. 展开更多
关键词 multiple limb manipulation systems decomposition of contact forces ROBUSTNESS critical disturbance external forces
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Second-Order Controllability of Multi-Agent Systems with Multiple Leaders
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作者 刘波 史运涛 +1 位作者 苏厚胜 韩潇 《Communications in Theoretical Physics》 SCIE CAS CSCD 2016年第5期585-592,共8页
This paper proposes a new second-order continuous-time multi-agent model and analyzes the controllability of second-order multi-agent system with multiple leaders based on the asymmetric topology.This paper considers ... This paper proposes a new second-order continuous-time multi-agent model and analyzes the controllability of second-order multi-agent system with multiple leaders based on the asymmetric topology.This paper considers the more general case:velocity coupling topology is different from location coupling topology.Some sufficient and necessary conditions are presented for the controllability of the system with multiple leaders.In addition,the paper studies the controllability of the system with velocity damping gain.Simulation results are given to illustrate the correctness of theoretical results. 展开更多
关键词 controllability second-order multi-agent systems multiple leaders asymmetric topology
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MULTIPLE SOLUTIONS FOR HAMILTONIAN SYSTEMS WITH PERIODIC NONLINEARITY AND STRONG RESONANCE
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作者 刘嘉荃 《Acta Mathematica Scientia》 SCIE CSCD 1991年第4期417-423,共7页
I. Introduction In this paper we are looking for solutions of the following Hamiltonian system of second order: where x= (x1, x2) and V satisfies (V. 1) V: R×R2→R is a C1-function, 1-periodic In t, (V.2) V... I. Introduction In this paper we are looking for solutions of the following Hamiltonian system of second order: where x= (x1, x2) and V satisfies (V. 1) V: R×R2→R is a C1-function, 1-periodic In t, (V.2) V is periodic in x1 with the period T>0, (V. 3) V→O, Vx→O as |x2|→∞, uniformly in (t, x1). 展开更多
关键词 multiple SOLUTIONS FOR HAMILTONIAN systems WITH PERIODIC NONLINEARITY AND STRONG RESONANCE
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Analytical and Computational Analysis of Flow Splitting in Multiple, Parallel Channels Systems
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作者 Alejandro I. Lazarte J. C. Ferreri 《World Journal of Nuclear Science and Technology》 2016年第3期170-190,共22页
Previous analytical results on flow splitting are generalized to consider multiple boiling channels systems. The analysis is consistent with the approximations usually adopted in the use of systems codes (like RELAP5 ... Previous analytical results on flow splitting are generalized to consider multiple boiling channels systems. The analysis is consistent with the approximations usually adopted in the use of systems codes (like RELAP5 and TRACE5, among others) commonly applied to perform safety analyses of nuclear power plants. The problem is related to multiple, identical, parallel boiling channels, connected through common plena. A theoretical model limited in scope explains this flow splitting without reversal. The unified analysis performed and the confirmatory computational results found are summarized in this paper. New maps showing the zones where this behavior is predicted are also shown considering again twin pipes. Multiple pipe systems have been found not easily amenable for analytical analysis when dealing with more than four parallel pipes. However, the particular splitting found (flow along N pipes dividing in one standalone pipe flow plus N -1 identical pipe flows) has been verified up to fourteen pipes, involving calculations in systems with even and odd number of pipes using the RELAP5 systems thermal-hydraulics code. 展开更多
关键词 multiple Parallel Boiling Channels systems Asymmetric Splitting Flow Verification of Codes systems Thermal-Hydraulics Codes Nuclear Engineering
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A Rare Case of Mycobacterium Avium Combined with Penicillium marneffei (PM) Infection Involving Multiple Bone Joints throughout the Whole Body: A Case Report
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作者 Fouejio Yemele Eunice Xiuxiu Zheng +3 位作者 Chenhong Yan Yitong Zhang Lujun Dai Er Jin 《Journal of Biosciences and Medicines》 2024年第11期15-29,共15页
Background: Mycobacterium avium complex (MAC) infection case which involves bones and joints are rare scenarios. Here, we report a rare case of Penicillium marneffei (PM), lung infection and systemic multi joint damag... Background: Mycobacterium avium complex (MAC) infection case which involves bones and joints are rare scenarios. Here, we report a rare case of Penicillium marneffei (PM), lung infection and systemic multi joint damage reported with positive anti-interferon-gamma at the same time. Case Presentation: A 55-year-old woman with fever for 10 days due to repeated multiple joint pain for more than one month was admitted to our hospital on September 19th 2020. During hospitalization, the patient was confirmed with mycobacterium avium combined with Penicillium marneffei (PM) infection involving multiple bone joints. Antifungal therapy and immunity regulatory agent were given during hospitalization. Following pharmocol-therapy, symptoms gradually improved, and the patient was discharged. Conclusions: The patient was considered disseminated and refractory non-tubercular mycobacterium (NTM) combined with Penicillium marneffei infection. In addition, we found that anti IFN-γ autoantibodies are closely related. Although the current incidence of this patient is related to anti IFN-γ, there is a strong correlation between autoantibody-mediated immunodeficiency in adults. 展开更多
关键词 Systemic multiple Osteoarticular Mycobacterium Avium Complex Penicillium marneffei Anti IFN-γ Auto-Antibody
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Pulmonary Langerhans cell histiocytosis and multiple system involvement:A case report
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作者 Lin Luo Yan-Xia Li 《World Journal of Clinical Cases》 SCIE 2021年第35期11029-11035,共7页
BACKGROUND Pulmonary Langerhans cell histiocytosis(PLCH)is a relatively rare type of lung disease,common in middle-aged smoking men.It is characterized by proliferation and infiltration of Langerhans cells,and the for... BACKGROUND Pulmonary Langerhans cell histiocytosis(PLCH)is a relatively rare type of lung disease,common in middle-aged smoking men.It is characterized by proliferation and infiltration of Langerhans cells,and the formation of multiple parabronchial mesenchymal nodules in lung tissue,and may lead to organ dysfunction.There are no typical symptoms and signs,and it is easily misdiagnosed or missed,and therefore deserves clinical attention and further discussion.CASE SUMMARY We describe the case of a nonsmoking 46-year-old man with PLCH diagnosed based on clinical manifestations of fever and dry cough,with a history of hypothyroidism and diabetes insipidus for 9 years.Computed tomography(CT)-and CT-guided puncture examinations revealed no abnormalities,and he ultimately underwent thoracoscopic biopsy to confirm the diagnosis.The pathological diagnosis was PLCH.Thyroid function was maintained by medication.Pituitary magnetic resonance imaging showed that the pituitary stalk had become thinner.CONCLUSION LCH often involves multiple systems.Moreover,the pathogenesis is not clear,clinical manifestations lack specificity,and diagnosis requires special attention.Diagnosis of PLCH can significantly benefit from comprehensive multidisciplinary analysis. 展开更多
关键词 Pulmonary Langerhans cell histiocytosis multiple systems HYPOTHYROIDISM Diabetes insipidus Case report
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Multiple linear system techniques for 3D finite element method modeling of direct current resistivity 被引量:3
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作者 李长伟 熊彬 +1 位作者 强建科 吕玉增 《Journal of Central South University》 SCIE EI CAS 2012年第2期424-432,共9页
The strategies that minimize the overall solution time of multiple linear systems in 3D finite element method (FEM) modeling of direct current (DC) resistivity were discussed. A global stiff matrix is assembled and st... The strategies that minimize the overall solution time of multiple linear systems in 3D finite element method (FEM) modeling of direct current (DC) resistivity were discussed. A global stiff matrix is assembled and stored in two parts separately. One part is associated with the volume integral and the other is associated with the subsurface boundary integral. The equivalent multiple linear systems with closer right-hand sides than the original systems were constructed. A recycling Krylov subspace technique was employed to solve the multiple linear systems. The solution of the seed system was used as an initial guess for the subsequent systems. The results of two numerical experiments show that the improved algorithm reduces the iterations and CPU time by almost 50%, compared with the classical preconditioned conjugate gradient method. 展开更多
关键词 finite element method modeling direct current resistivity multiple linear systems preconditioned conjugate gradient recycling Krylov subspace
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Identification of multiple inputs single output errors-in-variables system using cumulant 被引量:1
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作者 Haihui Long Jiankang Zhao 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2014年第6期921-933,共13页
A higher-order cumulant-based weighted least square(HOCWLS) and a higher-order cumulant-based iterative least square(HOCILS) are derived for multiple inputs single output(MISO) errors-in-variables(EIV) systems... A higher-order cumulant-based weighted least square(HOCWLS) and a higher-order cumulant-based iterative least square(HOCILS) are derived for multiple inputs single output(MISO) errors-in-variables(EIV) systems from noisy input/output data. Whether the noises of the input/output of the system are white or colored, the proposed algorithms can be insensitive to these noises and yield unbiased estimates. To realize adaptive parameter estimates, a higher-order cumulant-based recursive least square(HOCRLS) method is also studied. Convergence analysis of the HOCRLS is conducted by using the stochastic process theory and the stochastic martingale theory. It indicates that the parameter estimation error of HOCRLS consistently converges to zero under a generalized persistent excitation condition. The usefulness of the proposed algorithms is assessed through numerical simulations. 展开更多
关键词 parameter estimation multiple input systems recur-sive identification higher-order cumulant convergence analysis
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Performance of MIMO Systems Using Space Time Block Codes (STBC) 被引量:1
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作者 Christopher M. Lau 《Open Journal of Applied Sciences》 2021年第3期273-286,共14页
Digital Communications, in relation to wireless networks, have taken off in recent years due to the expanding need to communicate faster and more efficiently. A popular way to achieve this is by using wireless Multipl... Digital Communications, in relation to wireless networks, have taken off in recent years due to the expanding need to communicate faster and more efficiently. A popular way to achieve this is by using wireless Multiple Input Multiple Output (MIMO) communication systems. MIMO systems utilize Space Time Block Codes (STBC) as one of the leading ways to obtain higher data rates with limited bandwidth and power. With several STBC methods currently available, this paper analyzes simulations using Orthogonal Space Time Block Codes (OSTBC) in Rayleigh fading channels to evaluate the performance of MIMO systems. The selection to use a Rayleigh fading channel as a model for a non-line-of-sight (nLOS) environment is selected to mimic installations where a large number of signal paths and reflections are expected. All simulations are coded, generated and plotted using MATLAB resulting in graphical data representing the bit-error rate (BER) to signal-to-noise ratio (Eb/N<sub>0</sub>) or SNR. Each simulation captures how different configurations of key variables including code rate, diversity and antenna count can impact system performance. Four modulation schemes (BPSK, QPSK, 16-QAM and 64-QAM) are included in each simulation. Conclusive evidence based upon these simulations suggests higher diversity gains were achieved with a greater number of antennas. The most significant factor for increasing system performance was using a lower count of transmit antennas with a higher count of receive antennas. 展开更多
关键词 Computer Analysis Digital Communications MATLAB MIMO Modulation Techniques multiple Input multiple Output systems Orthogonal Space Time Block Codes OSTBC Rayleigh Fading Channels Space Time Block Codes STBC Wireless Communications Wireless Networks
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Lattice Reduction Aided MMSE Tomlinson-Harashima Precoding Based on VBLAST Algorithm for MIMO Systems
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作者 刘锋 蒋铃鸽 何晨 《Journal of Shanghai Jiaotong university(Science)》 EI 2008年第1期12-15,共4页
A lattice reduction aided (LRA) minimum mean square error (MMSE) Tomlinson-Harashima pre-coding (THP) was proposed based on vertical Bell Labs layered space time (VBLAST) algorithm for multiple input multiple output (... A lattice reduction aided (LRA) minimum mean square error (MMSE) Tomlinson-Harashima pre-coding (THP) was proposed based on vertical Bell Labs layered space time (VBLAST) algorithm for multiple input multiple output (MIMO) systems. The extended channel was used to provide optimal tradeoff between residual interference and noise amplification. The processing based on lattice reduction method helps achieve maximal diversity order. The VBLAST algorithm was applied to get the optimal processing ordering for successive interference cancellation (SIC) at transmitter. Simulation results show that the proposed algorithm outperforms conventional THP and the LRA zero-forcing (ZF) THP with full diversity order. 展开更多
关键词 multiple input multiple output systems lattice reduction vertical Bell Labs layered space time minimum mean square error Tomlinson-Harashima precoding
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RESEARCH ON INDOOR ELECTROMAGNETIC RADIATION FIELD OF MULTIPLE ANTENNA SYSTEM
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作者 Ma Li Lu Yanhui +1 位作者 Zou Peng Zhou Xiaoping 《Journal of Electronics(China)》 2012年第5期400-407,共8页
The complexity of the indoor environment brings great challenges to predict the electromagnetic radiation field of multiple antenna systems. Based on the Finite Difference Time Domain (FDTD) algorithm, using the mobil... The complexity of the indoor environment brings great challenges to predict the electromagnetic radiation field of multiple antenna systems. Based on the Finite Difference Time Domain (FDTD) algorithm, using the mobile phone shielding device as the multiple antenna systems example, the mobile phone shielding device's indoor electromagnetic radiation field is researched by measurment method and simulation method. The effectivity of prediction method is verified by comparing the prediciton results with the measurment results. About 80% of the error can be controlled less than dB. The quantitative research has certain guiding significance to the prediction of the multiple antenna systems radio wave propagation. 展开更多
关键词 Electromagnetic radiation field multiple antenna systems Field intensity prediction Finite Difference Time Domain (FDTD) Indoor environment
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TENSOR SUM AND DYNAMICAL SYSTEMS
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作者 D.SENTHILKUMAR P.CHANDRA KALA 《Acta Mathematica Scientia》 SCIE CSCD 2014年第6期1935-1946,共12页
In this paper we introduce the concept of tensor sum semigroups. Also we have given the examples of tensor sum operators which induce dynamical system on weighted locally convex function spaces.
关键词 tensor sum composition operators multiplication operator dynamical systems seminorm operator valued mapping
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