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Effects of square micro-pillar array porosity on the liquid motion of near surface layer 被引量:1
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作者 Xiaoxi Qiao Xiangjun Zhang +2 位作者 Ping Chen Yu Tian Yonggang Meng 《Chinese Physics B》 SCIE EI CAS CSCD 2020年第2期321-326,共6页
The influence rules of square micro-pillar array porosity on the liquid motion characteristics of the near-surface layer are investigated by quartz crystal microbalance(QCM).QCM is a powerful and promising technique i... The influence rules of square micro-pillar array porosity on the liquid motion characteristics of the near-surface layer are investigated by quartz crystal microbalance(QCM).QCM is a powerful and promising technique in studying the interfacial behavior,which exhibits great advantages in investigating the effects of surface microstructure,roughness,and array.In our experiments,three different arrays with the same height of about 280 nm and center distance of 200μm,but different diameters of about 78μm,139μm,and 179μm are investigated.The results indicate that when the surface array has a large porosity,its influence on the liquid motion of the near surface layer is slight,thus resulting in a small increase of half-bandwidth variation due to the additional friction energy dissipation.When the surface array has a small porosity,the array tends to make the liquid film trapped in the array oscillating with the substrate,then there may be a layer of liquid film behaving like rigid film,and it also will make the liquid motion near the array layer more complicated.Thus for the#3 surface with a small porosity,both the absolute values of frequency shift|Δf3|and half-bandwidth variationΔΓ3 increase obviously.The experimental results show good consistence with the theoretical model of Daikhin and Urbakh.This study sheds light on understanding the influence mechanism of surface array porosity on the liquid motion of near-surface layer. 展开更多
关键词 quartz crystal MICROBALANCE square micro-pillar array WETTING state permeability
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Investigation of the Vibration Behavior of Fluidelastic Instability in Closely Packed Square Tube Arrays 被引量:1
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作者 Wei Tan Hao Wu Guorui Zhu 《Transactions of Tianjin University》 EI CAS 2019年第2期124-142,共19页
Flow-induced vibrations in heat exchanger tubes have led to numerous accidents and economic losses in the past. Fluidelastic instability is the most critical flow-induced vibration mechanism in heat exchangers. Both e... Flow-induced vibrations in heat exchanger tubes have led to numerous accidents and economic losses in the past. Fluidelastic instability is the most critical flow-induced vibration mechanism in heat exchangers. Both experimental and computational studies conducted to determine fluidelastic instability were presented in this paper. In the experiment, a water channel was built, and a closely packed normal square tube array with a pitch-to-diameter ratio of 1.28 was tested, and significant fluidelastic instability was observed. A numerical model adopting large-eddy simulation and moving mesh was established using ANSYS CFX, and results showed good agreement with the experimental findings. The vibration behaviors of fluidelastic instability were discussed, and results showed that the dominant vibration direction of the tubes changed from streamwise to transverse beyond a critical velocity. A 180° phase lag between adjacent tubes was observed in both the experiment and simulations. Normal and rotated square array cases with pitch-to-diameter ratios of 1.28 and 1.5 were also simulated. The results of this study provide better insights into the vibration characteristics of a square tube array and will help improve the fundamental research and safety design of heat exchangers. 展开更多
关键词 Fluidelastic INSTABILITY DOMINANT vibration direction Phase LAG square TUBE array Heat EXCHANGER
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Nonequidistant two-dimensional antenna arrays based on Latin squares
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作者 V F Kravchenko V I Lutsenko +1 位作者 I V Popov LUO Yi-yang 《Journal of Measurement Science and Instrumentation》 CAS CSCD 2019年第1期38-48,共11页
Non-equidistant sparse antenna arrays constructed on the basis of Latin squares are considered. A method for their construction and a synthesis algorithm are proposed,and the properties of two-dimensional antennas bas... Non-equidistant sparse antenna arrays constructed on the basis of Latin squares are considered. A method for their construction and a synthesis algorithm are proposed,and the properties of two-dimensional antennas based on them,which ensure,at a high degree of rarefaction,a sufficiently small lateral radiation are studied. The features and main characteristics of such antennas are studied. 展开更多
关键词 non-equidistant antenna array Latin square compound squares covered frequencies
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Aperture Efficiency Study of Square Reflect Array Antennas
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作者 Javad Nourinia Changiz Ghobadi +1 位作者 Bahman Mohammadi Farzad Alizadeh 《Wireless Engineering and Technology》 2018年第3期66-78,共13页
This paper presents a detailed study of square reflect array (RA) antenna aperture efficiency (ηa). Effects of quantization-phase and limited phase-range errors on radiation pattern, half-power beam width (HPBW) and ... This paper presents a detailed study of square reflect array (RA) antenna aperture efficiency (ηa). Effects of quantization-phase and limited phase-range errors on radiation pattern, half-power beam width (HPBW) and ηa for different feed locations are investigated. Results show an in-crease in side-lobe levels (SLLs) and a slightly reduction in ηa with quantization-phase augmentation or element phase-range reduction, however, the effects on HPBW are negligible. Nevertheless, the degradation in ηa is negligible when the quantization-phase is lower than 30° or phase-range is more than 300°. Parametric studies have been carried out to provide design guidelines to maximize ηa. It is perceived that the offset-angle plays an important role to determine ηa, especially for feed with narrow beam width. 展开更多
关键词 APERTURE Efficiency Limited Phase-Range ERROR Quantization-Phase ERROR Reflect array ANTENNAS square APERTURE
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An anomaly detection method for spacecraft solar arrays based on the ILS-SVM model 被引量:2
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作者 WANG Yu ZHANG Tao +1 位作者 HUI Jianjiang LIU Yajie 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2023年第2期515-529,共15页
Solar arrays are important and indispensable parts of spacecraft and provide energy support for spacecraft to operate in orbit and complete on-orbit missions.When a spacecraft is in orbit,because the solar array is ex... Solar arrays are important and indispensable parts of spacecraft and provide energy support for spacecraft to operate in orbit and complete on-orbit missions.When a spacecraft is in orbit,because the solar array is exposed to the harsh space environment,with increasing working time,the performance of its internal electronic components gradually degrade until abnormal damage occurs.This damage makes solar array power generation unable to fully meet the energy demand of a spacecraft.Therefore,timely and accurate detection of solar array anomalies is of great significance for the on-orbit operation and maintenance management of spacecraft.In this paper,we propose an anomaly detection method for spacecraft solar arrays based on the integrated least squares support vector machine(ILS-SVM)model:it selects correlated telemetry data from spacecraft solar arrays to form a training set and extracts n groups of training subsets from this set,then gets n corresponding least squares support vector machine(LS-SVM)submodels by training on these training subsets,respectively;after that,the ILS-SVM model is obtained by integrating these submodels through a weighting operation to increase the prediction accuracy and so on;finally,based on the obtained ILS-SVM model,a parameterfree and unsupervised anomaly determination method is proposed to detect the health status of solar arrays.We use the telemetry data set from a satellite in orbit to carry out experimental verification and find that the proposed method can diagnose solar array anomalies in time and can capture the signs before a solar array anomaly occurs,which reflects the applicability of the method. 展开更多
关键词 spacecraft solar array anomaly detection integrated least squares support vector machine(ILS-SVM) induced ordered weighted average(IOWA)operator integrated model
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Dimension decomposition algorithm for multiple source localization using uniform circular array 被引量:1
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作者 SU Xiaolong HU Panhe +3 位作者 WEI Zhenhua LIU Zhen SHI Junpeng LI Xiang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2023年第3期650-660,共11页
A dimension decomposition(DIDE)method for multiple incoherent source localization using uniform circular array(UCA)is proposed.Due to the fact that the far-field signal can be considered as the state where the range p... A dimension decomposition(DIDE)method for multiple incoherent source localization using uniform circular array(UCA)is proposed.Due to the fact that the far-field signal can be considered as the state where the range parameter of the nearfield signal is infinite,the algorithm for the near-field source localization is also suitable for estimating the direction of arrival(DOA)of far-field signals.By decomposing the first and second exponent term of the steering vector,the three-dimensional(3-D)parameter is transformed into two-dimensional(2-D)and onedimensional(1-D)parameter estimation.First,by partitioning the received data,we exploit propagator to acquire the noise subspace.Next,the objective function is established and partial derivative is applied to acquire the spatial spectrum of 2-D DOA.At last,the estimated 2-D DOA is utilized to calculate the phase of the decomposed vector,and the least squares(LS)is performed to acquire the range parameters.In comparison to the existing algorithms,the proposed DIDE algorithm requires neither the eigendecomposition of covariance matrix nor the search process of range spatial spectrum,which can achieve satisfactory localization and reduce computational complexity.Simulations are implemented to illustrate the advantages of the proposed DIDE method.Moreover,simulations demonstrate that the proposed DIDE method can also classify the mixed far-field and near-field signals. 展开更多
关键词 source localization parameter estimation uniform circular array(UCA) PROPAGATOR partial derivative least squares(LS)
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FINITE WORDLENGTH ANALYZING FOR RLS SYSTOLIC ALGORITHM BASED ON THE SQUARE-ROOT-FREE SCALED GIVENS ROTATIONS
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作者 Xiong Jun Liao Guisheng Wu Shunjun(Key Laboratory of Radar Signal Processing, Xidian University, Xj’an 710071) 《Journal of Electronics(China)》 1997年第4期367-373,共7页
The least squares(LS) minimization problem constitutes the core of many real-time signal processing problems. A square-root-free scaled Givens rotations algorithm and its systolic architecture for the optimal RLS resi... The least squares(LS) minimization problem constitutes the core of many real-time signal processing problems. A square-root-free scaled Givens rotations algorithm and its systolic architecture for the optimal RLS residual evaluation are presented in this paper. We analyze upper bounds of the dynamic range of processing cells and the internal parameters. Thus the wordlength can be obtained to prevent overflow and to ensure correct operations. Simulation results confirm the theoretical conclusions and the stability of the algorithm. 展开更多
关键词 Linear least squareS MINIMIZATION problem Adaptive signal processing SYSTOLIC array
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Fast PARAFAC decomposition with application to polarization sensitive array parameter estimations 被引量:1
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作者 LI Yang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2018年第4期714-722,共9页
In tensor theory, the parallel factorization (PARAFAC)decomposition expresses a tensor as the sum of a set of rank-1tensors. By carrying out this numerical decomposition, mixedsources can be separated or unknown sys... In tensor theory, the parallel factorization (PARAFAC)decomposition expresses a tensor as the sum of a set of rank-1tensors. By carrying out this numerical decomposition, mixedsources can be separated or unknown system parameters can beidentified, which is the so-called blind source separation or blindidentification. In this paper we propose a numerical PARAFACdecomposition algorithm. Compared to traditional algorithms, wespeed up the decomposition in several aspects, i.e., search di-rection by extrapolation, suboptimal step size by Gauss-Newtonapproximation, and linear search by n steps. The algorithm is ap-plied to polarization sensitive array parameter estimation to showits usefulness. Simulations verify the correctness and performanceof the proposed numerical techniques. 展开更多
关键词 tensor decomposition parallel factorization(PARAFAC) alternating least squares (ALS) polarization sensi-tive array (PSA)
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NEW LSCM BLIND MULTIUSER DETECTION ALGORITHM FOR ANTENNA ARRAY CDMA SYSTEM
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作者 Fu Hongliang Feng Guangzeng 《Journal of Electronics(China)》 2006年第2期161-164,共4页
Two blind multiuser detection algorithms for antenna array in Code Division Multiple Access (CDMA) system which apply the linearly constrained condition to the Least Squares Constant Modulus Algorithln (LSCMA) are... Two blind multiuser detection algorithms for antenna array in Code Division Multiple Access (CDMA) system which apply the linearly constrained condition to the Least Squares Constant Modulus Algorithln (LSCMA) are proposed in this paper. One is the Linearly Constrained LSCMA (LC-LSCMA), the other is the Preprocessing LC-LSCMA (PLC-LSCMA). The two algorithms are compared with the conventional LSCMA. The results show that the two algorithms proposed in this paper are superior to the conventional LSCMA and the best one is PLC-LSCMA. 展开更多
关键词 Antenna array MultiUser Detection (MUD) Code Division Multiple Access (CDMA) Least squares Constant Modulus Algorithm (LSCMA) Linearly Constrained LSCMA (LC-LSCMA) Preprocessing LC-LSCMA (PLC-LSCMA)
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Fractional Processing Based Adaptive Beamforming Algorithm
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作者 Syed Asghar Ali Shah Tariqullah Jan +3 位作者 Syed Muslim Shah Ruhul Amin Khalil Ahmad Sawalmeh Muhammad Anan 《Computers, Materials & Continua》 SCIE EI 2023年第7期1065-1084,共20页
Fractional order algorithms have shown promising results in various signal processing applications due to their ability to improve performance without significantly increasing complexity.The goal of this work is to in... Fractional order algorithms have shown promising results in various signal processing applications due to their ability to improve performance without significantly increasing complexity.The goal of this work is to inves-tigate the use of fractional order algorithm in the field of adaptive beam-forming,with a focus on improving performance while keeping complexity lower.The effectiveness of the algorithm will be studied and evaluated in this context.In this paper,a fractional order least mean square(FLMS)algorithm is proposed for adaptive beamforming in wireless applications for effective utilization of resources.This algorithm aims to improve upon existing beam-forming algorithms,which are inefficient in performance,by offering faster convergence,better accuracy,and comparable computational complexity.The FLMS algorithm uses fractional order gradient in addition to the standard ordered gradient in weight adaptation.The derivation of the algorithm is provided and supported by mathematical convergence analysis.Performance is evaluated through simulations using mean square error(MSE)minimization as a metric and compared with the standard LMS algorithm for various parameters.The results,obtained through Matlab simulations,show that the FLMS algorithm outperforms the standard LMS in terms of convergence speed,beampattern accuracy and scatter plots.FLMS outperforms LMS in terms of convergence speed by 34%.From this,it can be concluded that FLMS is a better candidate for adaptive beamforming and other signal processing applications. 展开更多
关键词 Adaptive beamforming adaptive array fractional processing least mean square fractional least mean square
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A broadband helical loaded square cavity back antenna array
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作者 B. K. MISHRA Vinitkumar Jayaprakash DONGRE Megha GUPTA 《Frontiers of Electrical and Electronic Engineering in China》 CSCD 2012年第4期381-385,共5页
In this paper, a fundamental advancement of the basic helix design which expands to array having good bandwidth is proposed. The helix is inserted in a cavity. The result is a new antenna design that offers the perfor... In this paper, a fundamental advancement of the basic helix design which expands to array having good bandwidth is proposed. The helix is inserted in a cavity. The result is a new antenna design that offers the performance characteristics and advantages of the conven-tional helix but in a much more compact physical size envelope. A 4-element rectangular helical array has been designed. For miniaturization and impedance matching, the helical wire is replaced by a rectangular cross sectioned strip. It has been observed that when the helix is inserted in a cavity, it behaves differently from a normal helical antenna. The effects of the cavity on the number of turns, the impedance of total antenna, and the reflection coefficient have been analyzed. The array is designed for 2.4 GHz. The return loss obtained is less than - 10 dB and the bandwidth is more than 1.3 GHz for the array. 展开更多
关键词 antenna array broadband helical antenna helix impedance matching strip helix square cavity back
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Pattern synthesis optimization of 3-D ODAR based on improved GA using LSFE method 被引量:4
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作者 龙伟军 贲德 +1 位作者 BAKHSHI ASIM D 张弓 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2011年第1期96-100,共5页
Pattern synthesis in 3-D opportunistic digital array radar(ODAR) becomes complex when a multitude of antennas are considered to be randomly distributed in a three dimensional space.In order to obtain an optimal patter... Pattern synthesis in 3-D opportunistic digital array radar(ODAR) becomes complex when a multitude of antennas are considered to be randomly distributed in a three dimensional space.In order to obtain an optimal pattern,several freedoms must be constrained.A new pattern synthesis approach based on the improved genetic algorithm(GA) using the least square fitness estimation(LSFE) method is proposed.Parameters optimized by this method include antenna locations,stimulus states and phase weights.The new algorithm demonstrates that the fitness variation tendency of GA can be effectively predicted after several "eras" by the LSFE method.It is shown that by comparing the variation of LSFE curve slope,the GA operator can be adaptively modified to avoid premature convergence of the algorithm.The validity of the algorithm is verified using computer implementation. 展开更多
关键词 antenna radiation patterns genetic algorithm(GA) opportunistic digital array radar(ODAR) pattern synthesis the least square fitness estimation(LSFE)
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Lossless Compression of SKA Data Sets 被引量:1
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作者 Karthik Rajeswaran Simon Winberg 《Communications and Network》 2013年第4期369-378,共10页
With the size of astronomical data archives continuing to increase at an enormous rate, the providers and end users of astronomical data sets will benefit from effective data compression techniques. This paper explore... With the size of astronomical data archives continuing to increase at an enormous rate, the providers and end users of astronomical data sets will benefit from effective data compression techniques. This paper explores different lossless data compression techniques and aims to find an optimal compression algorithm to compress astronomical data obtained by the Square Kilometre Array (SKA), which are new and unique in the field of radio astronomy. It was required that the compressed data sets should be lossless and that they should be compressed while the data are being read. The project was carried out in conjunction with the SKA South Africa office. Data compression reduces the time taken and the bandwidth used when transferring files, and it can also reduce the costs involved with data storage. The SKA uses the Hierarchical Data Format (HDF5) to store the data collected from the radio telescopes, with the data used in this study ranging from 29 MB to 9 GB in size. The compression techniques investigated in this study include SZIP, GZIP, the LZF filter, LZ4 and the Fully Adaptive Prediction Error Coder (FAPEC). The algorithms and methods used to perform the compression tests are discussed and the results from the three phases of testing are presented, followed by a brief discussion on those results. 展开更多
关键词 square Kilometre array LOSSLESS Compression HDF5
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A CASCADING LATIN SCHEME TO TOLERATE DOUBLE DISK FAILURES IN RAID ARCHITECTURES 被引量:1
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作者 Lin Sheng Wang Gang Liu Xiaoguang Liu Jing 《Journal of Electronics(China)》 2010年第2期243-249,共7页
In recent years,a lot of XOR-based coding schemes have been developed to tolerate double disk failures in Redundant Array of Independent Disks (RAID) architectures,such as EVENODD-code,X-code,B-code and BG-HEDP. Despi... In recent years,a lot of XOR-based coding schemes have been developed to tolerate double disk failures in Redundant Array of Independent Disks (RAID) architectures,such as EVENODD-code,X-code,B-code and BG-HEDP. Despite those researches,the decades-old strategy of Reed-Solomon (RS) code remains the only popular space-optimal Maximum Distance Separable (MDS) code for all but the smallest storage systems. The reason is that all those XOR-based schemes are too difficult to be implemented,it mainly because the coding-circle of those codes vary with the number of disks. By contrast,the coding-circle of RS code is a constant. In order to solve this problem,we develop a new MDS code named Latin code and a cascading scheme based on Latin code. The cascading Latin scheme is a nearly MDS code (with only one or two more parity disks compared with the MDS ones). Nev-ertheless,it keeps the coding-circle of the basic Latin code (i.e. a constant) and the low encod-ing/decoding complexity similar to other parity array codes. 展开更多
关键词 2-erasure code Redundant array of Independent Disks (RAID) Latin square
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Dish Verification Antenna China for the SKA:design, verification and status
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作者 Biao Du Yang Wu +13 位作者 Yuan-Peng Zheng Xiao-Ming Chai Guo-Xi Liu Hai-Dong Wang Yi-Fan Zhang Sheng-Hua Yu Bin Liu Ye-Zhao Yu Hong-Wei Xi Long Chen Lei Yu Dong-Liang Liu Cheng-Jin Jin Bo Peng 《Research in Astronomy and Astrophysics》 SCIE CAS CSCD 2019年第6期97-108,共12页
The Square Kilometre Array(SKA) will be the world’s largest synthesis radio telescope, which is designed to answer major scientific questions such as those relating to the cosmic origin and fundamental forces in the ... The Square Kilometre Array(SKA) will be the world’s largest synthesis radio telescope, which is designed to answer major scientific questions such as those relating to the cosmic origin and fundamental forces in the universe. With the SKA entering into the phase of pre-construction, more than 100 institutes in about 20 countries including China have been involved in the associated key technology development.The Dish Verification Antenna China(DVA-C) is a concept prototype which has been built to meet the requirements of the SKA’s scientific goals. It utilizes a unique skin-and-rib structure with single-piece panel reflectors. This paper presents details on the design and measured performances of DVA-C, as well as the preliminary observational results. Current applications of the DVA-C are also introduced. 展开更多
关键词 square Kilometre array radio telescope dish-single-piece panel
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Changes of macromolecular organizations in nonjunctional sarcolemmas after cross-innervation──a study offast-and slow-twitch muscle fibres in rats
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作者 LU JIANLI TIEFENG ZHANG +2 位作者 FUJIN QU BEIHUA QIAN SHIKAI HUANG(Shanghai Institute of Physiology, Chinesc Academy of Scicnces, 320 Yue-Yang Road, Shanghai 200031, China) 《Cell Research》 SCIE CAS CSCD 1995年第2期143-154,共12页
The purpose of the present study was to analyse the changes of macromolecular organizations in nonjunctional sarcolemmas of different types of skeletal muscle fibres after cross-innervation. In normal rats the mean de... The purpose of the present study was to analyse the changes of macromolecular organizations in nonjunctional sarcolemmas of different types of skeletal muscle fibres after cross-innervation. In normal rats the mean density of square arrays (6 nm particles organized in orthogonal arrays) was 9.02/μm2 for the nonjunctional sarcolemmas of fast-twitch extensor digitorum longus (control EDL,CE) nuscle fibres and 0.34/μm2 for the nonjunctional sarcolemmas of slow-twitch soleus (control SOL, CS) muscle fibres. After cross-innervation between the fast-twitch EDL and slow-twitch SOL muscle fibres by slow and fast muscle merves respectively for three months, the mean density was 0.45/μm2 for the nonjunetional sarcolemmas of the operated-EDL (OE) and 8.3/μm2 for the nonjunctional sarcolemmas of the operated SOL (OS). This indicates that the cross-innervation causes a reciprocal transformation of the number and distribution of such macromolecular organizations in the electrically excitable nonjunctional sarcolemmas. 展开更多
关键词 SARCOLEMMA square array cross-innervation freeze-fracturing rat(Wistar)
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Adaptive nonuniformity correction for IRFPA sensors based on neural network framework
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作者 Junqi Bai Hongyi Hou +2 位作者 Chunguang Zhao Ning Sun Xianya Wang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2012年第4期618-624,共7页
For infrared focal plane graded during signal acquisition array sensors, imagery is departicularly nonuniformity. In this paper, an adaptive nonuniformity correction technique is proposed which simultaneously estimate... For infrared focal plane graded during signal acquisition array sensors, imagery is departicularly nonuniformity. In this paper, an adaptive nonuniformity correction technique is proposed which simultaneously estimates detector-level and readout- channel-level correction parameters using neural network approaches. Firstly, an improved neural network framework is designed to compute the desired output. Secondly, an adaptive learning rate rule is used in the gain and offset parameter estimation process. Experimental results show the proposed algorithm can achieve a faster convergence speed and better stability, remove nonuniformity and track parameters drift effectively, and present a good adaptability to scene changes and nonuniformity conditions. 展开更多
关键词 infrared focal plane array nonuniformity correction neural network (NN) least mean square (LMS).
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Fiber-based multiple-access frequency synchronization via 1f–2f dissemination
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作者 朱玺 王波 +1 位作者 高超 王力军 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第9期264-267,共4页
Considering the reference frequency dissemination requirements of the Square Kilometre Array telescope(SKA)project,on the basis of the 1f–2f precision frequency synchronization scheme,we propose and demonstrate a f... Considering the reference frequency dissemination requirements of the Square Kilometre Array telescope(SKA)project,on the basis of the 1f–2f precision frequency synchronization scheme,we propose and demonstrate a fiber-based multiple-access frequency synchronization scheme.The dissemination reference frequency can be recovered at arbitrary nodes along the entire fiber link.It can be applied to antennas close proximity to the SKA central station,and will lead to a better SKA frequency synchronization network.As a performance test,we recover the disseminated 100-MHz reference frequency at an arbitrary node chosen as being 5 km away from the transmitting site.Relative frequency stabilities of2.0×10^(-14)/s and 1.6×10^(-16)/10~4 s are obtained.We also experimentally verify the feasibility of a frequency dissemination link with three access points. 展开更多
关键词 square Kilometre array frequency synchronization fiber multiple-access
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ENUMERATION OF LATIN ARRAYS (Ⅰ)——CASE n≤3
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作者 陶仁骥 陈世华 《Science China Mathematics》 SCIE 1990年第12期1430-1438,共9页
This paper introduces the concept of Latin arrays, discusses the general property on their enumeration, and gives formulae of numbers for (2,k)- and (3,k)-Latin arrays and for their isotopy classes.
关键词 LATIN array LATIN square family of PERMUTATIONS ISOTOPY classes.
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ENUMERATION OF LATIN ARRAYS(Ⅱ)——CASE n=4,k≤4
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作者 陶仁骥 陈世华 《Science China Mathematics》 SCIE 1991年第1期20-29,共10页
This paper gives numbers for (4,k, 1)-Latin arrays (1≤k≤3) and (4,k)-Latin array for(1≤k≤4) and for their isotopy classes.
关键词 LATIN array LATIN square ISOTOPY classes.
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