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Performance of digital filtering and synchronization method for APD communication receiver
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作者 Hui-Jun Zhang Peng Lin +4 位作者 Tong Wang Zi-Qi Zhang Bai-Qiu Zhao Wen-Fang Jiao Xiao-Nan Yu 《Journal of Electronic Science and Technology》 2025年第3期89-104,共16页
Optical wireless(OW)communication systems face significant challenges such as signal attenuation due to atmospheric absorption,scattering,and noise from hardware components,which degrade detection sensitivity.To addre... Optical wireless(OW)communication systems face significant challenges such as signal attenuation due to atmospheric absorption,scattering,and noise from hardware components,which degrade detection sensitivity.To address these challenges,we propose a digital processing algorithm that combines finite impulse response filtering with dynamic synchronization based on pulse addition and subtraction.Unlike conventional methods,which typically rely solely on hardware optimization or basic thresholding techniques,the proposed approach integrates filtering and synchronization to improve weak signal detection and reduce noise-induced errors.The proposed algorithm was implemented and verified using a field-programmable gate array.Experiments conducted in an indoor OW communication environment demonstrate that the proposed algorithm significantly improves detection sensitivity by approximately 6 dB and 5 dB at communication rates of 3.5 Mbps and 5.0 Mbps,respectively.Specifically,under darkroom conditions and a bit error rate of 1×10^(-7),the detection sensitivity was improved from-38.56 dBm to-44.77 dBm at 3.5 Mbps and from-37.12 dBm to-42.29 dBm at 5 Mbps.The proposed algorithm is crucial for future capture and tracking of signals at large dispersion angles and in underwater and long-distance communication scenarios. 展开更多
关键词 Detection sensitivity digital filtering Optical wireless communication PHOTODETECTOR synchronization
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Cross-Domain Time Synchronization in Software-Defined Time-Sensitive Networking 被引量:1
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作者 Zhang Xiaodong Shou Guochu +2 位作者 Li Hongxing Liu Yaqiong Hu Yihong 《China Communications》 2025年第9期289-306,共18页
The rise of time-sensitive applications with broad geographical scope drives the development of time-sensitive networking(TSN)from intra-domain to inter-domain to ensure overall end-to-end connectivity requirements in... The rise of time-sensitive applications with broad geographical scope drives the development of time-sensitive networking(TSN)from intra-domain to inter-domain to ensure overall end-to-end connectivity requirements in heterogeneous deployments.When multiple TSN networks interconnect over non-TSN networks,all devices in the network need to be syn-chronized by sharing a uniform time reference.How-ever,most non-TSN networks are best-effort.Path delay asymmetry and random noise accumulation can introduce unpredictable time errors during end-to-end time synchronization.These factors can degrade syn-chronization performance.Therefore,cross-domain time synchronization becomes a challenging issue for multiple TSN networks interconnected by non-TSN networks.This paper presents a cross-domain time synchronization scheme that follows the software-defined TSN(SD-TSN)paradigm.It utilizes a com-bined control plane constructed by a coordinate con-troller and a domain controller for centralized control and management of cross-domain time synchroniza-tion.The general operation flow of the cross-domain time synchronization process is designed.The mecha-nism of cross-domain time synchronization is revealed by introducing a synchronization model and an error compensation method.A TSN cross-domain proto-type testbed is constructed for verification.Results show that the scheme can achieve end-to-end high-precision time synchronization with accuracy and sta-bility. 展开更多
关键词 cross-domain time synchronization de-terministic communications error compensation software-defined networking(SDN) time-sensitive networking(TSN)
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Successive lag synchronization on dynamical networks with communication delay 被引量:3
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作者 张新建 韦爱举 李科赞 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第3期466-472,共7页
In this paper, successive lag synchronization (SLS) on a dynamical network with communication delay is investigated. In order to achieve SLS on the dynamical network with communication delay, we design linear feedba... In this paper, successive lag synchronization (SLS) on a dynamical network with communication delay is investigated. In order to achieve SLS on the dynamical network with communication delay, we design linear feedback control and adaptive control, respectively. By using the Lyapunov function method, we obtain some sufficient conditions for global stability of SLS. To verify these results, some numerical examples are further presented. This work may find potential applications in consensus of multi-agent systems. 展开更多
关键词 successive lag synchronization dynamical network communication delay feedback control
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Exponential networked synchronization of master-slave chaotic systems with timevarying communication topologies 被引量:1
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作者 杨东升 刘振伟 +1 位作者 赵琰 刘兆冰 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第4期151-158,共8页
The networked synchronization problem of a class of master-slave chaotic systems with time-varying communication topologies is investigated in this paper. Based on algebraic graph theory and matrix theory, a simple li... The networked synchronization problem of a class of master-slave chaotic systems with time-varying communication topologies is investigated in this paper. Based on algebraic graph theory and matrix theory, a simple linear state feedback controller is designed to synchronize the master chaotic system and the slave chaotic systems with a time- varying communication topology connection. The exponential stability of the closed-loop networked synchronization error system is guaranteed by applying Lyapunov stability theory. The derived novel criteria are in the form of linear matrix inequalities (LMIs), which are easy to examine and tremendously reduce the computation burden from the feedback matrices. This paper provides an alternative networked secure communication scheme which can be extended conveniently. An illustrative example is given to demonstrate the effectiveness of the proposed networked synchronization method. 展开更多
关键词 exponential networked synchronization master-slave chaotic systems algebraic graph theory communication topology
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Synchronization of spatiotemporal chaotic systems and application to secure communication of digital image
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作者 王兴元 张娜 +1 位作者 任小丽 张永雷 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第2期125-132,共8页
Coupled map lattices (CMLs) are taken as examples to study the synchronization of spatiotemporal chaotic systems. In this paper, we use the nonlinear coupled method to implement the synchronization of two coupled ma... Coupled map lattices (CMLs) are taken as examples to study the synchronization of spatiotemporal chaotic systems. In this paper, we use the nonlinear coupled method to implement the synchronization of two coupled map lattices. Through the appropriate separation of the linear term from the nonlinear term of the spatiotemporal chaotic system, we set the nonlinear term as the coupling function and then we can achieve the synchronization of two coupled map lattices. After that, we implement the secure communication of digital image using this synchronization method. Then, the discrete characteristics of the nonlinear coupling spatiotemporal chaos are applied to the discrete pixel of the digital image. After the synchronization of both the communication parties, the receiver can decrypt the original image. Numerical simulations show the effectiveness and the feasibility of the proposed program. 展开更多
关键词 coupled map lattice projective synchronization digital image secure communication
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A Non-symmetric Digital Image Secure Communication Scheme Based on Generalized Chaos Synchronization System
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作者 ZHANG Xiao-Hong MIN Le-Quan 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第6X期1115-1124,共10页
Based on a generalized chaos synchronization system and a discrete Sinai map, a non-symmetric true color (RGB) digital image secure communication scheme is proposed. The scheme first changes an ordinary RGB digital ... Based on a generalized chaos synchronization system and a discrete Sinai map, a non-symmetric true color (RGB) digital image secure communication scheme is proposed. The scheme first changes an ordinary RGB digital image with 8 bits into unrecognizable disorder codes and then transforms the disorder codes into an RGB digital image with 16 bits for transmitting. A receiver uses a non-symmetric key to verify the authentication of the received data origin, and decrypts the ciphertext. The scheme can encrypt and decz:Fpt most formatted digital RGB images recognized by computers, and recover the plaintext almost without any errors. The scheme is suitable to be applied in network image communications. The analysis of the key space, sensitivity of key parameters, and correlation of encrypted images imply that this scheme has sound security. 展开更多
关键词 generalized chaos synchronization Sinai map image confusion non-symmetric key data origin authentication network communication
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The Sharing Management of Digital Communication Network Resource
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作者 ZHONG Juan LAI Honghui 《International English Education Research》 2014年第5期96-98,共3页
Along with the mature development of the domestic computer technology and communication technology, it is an inevitable trend to integrate the two major information technologies together in the future reform of the so... Along with the mature development of the domestic computer technology and communication technology, it is an inevitable trend to integrate the two major information technologies together in the future reform of the social communication model. Under this background, the principle of digital communication is introduced first in this paper, and accordingly the role of the communication network resources sharing is analyzed, and finally the sharing management of digital communication network resources is proposed. Hopefully. this paper can play a help in the future subsequent study. 展开更多
关键词 digital communication network Resources SHARING MANAGEMENT
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The Sharing Management of Digital Communication Network Resource
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作者 ZHONG Juan LAI Honghui 《International Journal of Technology Management》 2013年第6期121-123,共3页
Along with the mature development of the domestic computer technology and communication technology, it is an inevitable trend to integrate the two major information teclmologies together in the future reform of the so... Along with the mature development of the domestic computer technology and communication technology, it is an inevitable trend to integrate the two major information teclmologies together in the future reform of the social communication model. Under this background, the principle of digital co,nmunication is introduced first in this paper, and accordingly the role of the communication network resources sharing is analyzed, and finally the sharing management of digital communication network resources is proposed. Hopefully, this paper can play a help in the future subsequent study. 展开更多
关键词 digital communication network Resources SHARING MANAGEMENT
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Synchronization Research of a Modified Time-Delayed Multi-agent Network Model 被引量:1
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作者 刘玉良 朱杰 丁大为 《Journal of Shanghai Jiaotong university(Science)》 EI 2009年第3期321-324,共4页
The synchronization of time-delayed multi-agent networks with connected and directed topology is studied. Based on the correlative work about the agent synchronization, a modified model is presented, in which each com... The synchronization of time-delayed multi-agent networks with connected and directed topology is studied. Based on the correlative work about the agent synchronization, a modified model is presented, in which each communication receiver is distributed a delay 7. In addition, a proportional term k is introduced to modulate the delay range and to guarantee the synchronization of each agent. Two new parameters mentioned above are only correlative to the network topology, and a theorem about their connections is derived by both frequency domain method and geometric method. Finally, the theoretical result is illustrated by numerical simulations. 展开更多
关键词 synchronization time delay multi-agent network communication receiver
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Practical Timing Synchronization for Network Dynamics in Large Machine-to-Machine Networks
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作者 Lei Gu Shih-Chun Lin 《China Communications》 SCIE CSCD 2016年第10期160-168,共9页
Efficient multi-machine cooperation and network dynamics still remain open that jeopardize great applications in largescale machine-to-machine(M2M) networks. Among all possible machine cooperation controls, to synchro... Efficient multi-machine cooperation and network dynamics still remain open that jeopardize great applications in largescale machine-to-machine(M2M) networks. Among all possible machine cooperation controls, to synchronize tremendous machines in a timing-efficient brings one of the greatest challenge and serves as the foundation for any other network control policies. In this paper, we propose a linear-time synchronization protocol in large M2M networks. Specifically, a closed-form of synchronization rate is provided by developing the statistical bounds of the second smallest eigenvalue of the graph Laplacian matrix. These bounds enable the efficient control of network dynamics, facilitating the timing synchronization in networks. Through a practical study in Metropolis, simulation results confirm our theoretical analysis and provide effective selection of wireless technologies, including Zigbee, Wi-Fi, and cellular systems, with respect to the deployed density of machines. Therefore, this paper successfully demonstrates a practical timing synchronization, to make a breakthrough of network dynamic control in real-world machine systems, such as Internet of Things. 展开更多
关键词 timing synchronization network dynamics graph Laplacian matrix distributed protocol internet of things(IoTs) machine-to-machine(M2M) communications
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Network-Wide Time Synchronization in Multi-Channel Wireless Sensor Networks
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作者 Jari Nieminen Lijun Qian Riku Jantti 《Wireless Sensor Network》 2011年第2期39-53,共15页
Recent advances in wireless sensor technology have enabled simultaneous exploitation of multiple channels in wireless sensor systems. In this paper, a novel time synchronization algorithm is proposed for multi- channe... Recent advances in wireless sensor technology have enabled simultaneous exploitation of multiple channels in wireless sensor systems. In this paper, a novel time synchronization algorithm is proposed for multi- channel Wireless Sensor Networks (WSNs) called Multi-Channel Time Synchronization (MCTS) protocol. Time synchronization is critical for many WSN applications and enables efficient communications between sensor nodes along with intelligent spectrum access. Contrary to many existing protocols that do not exploit multi-channel communications, the protocol takes advantage of potential multiple channels and distributes the synchronization of different nodes to distinct channels and thus, reduces the convergence time of synchronization processes significantly. 展开更多
关键词 Time synchronization Multi-Channel communications Wireless Sensor networks
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Deep Auto-Encoder Based Intelligent and Secure Time Synchronization Protocol(iSTSP)for Security-Critical Time-Sensitive WSNs
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作者 Ramadan Abdul-Rashid Mohd Amiruddin Abd Rahman Abdulaziz Yagoub Barnawi 《Computer Modeling in Engineering & Sciences》 2025年第9期3213-3250,共38页
Accurate time synchronization is fundamental to the correct and efficient operation of Wireless Sensor Networks(WSNs),especially in security-critical,time-sensitive applications.However,most existing protocols degrade... Accurate time synchronization is fundamental to the correct and efficient operation of Wireless Sensor Networks(WSNs),especially in security-critical,time-sensitive applications.However,most existing protocols degrade substantially under malicious interference.We introduce iSTSP,an Intelligent and Secure Time Synchronization Protocol that implements a four-stage defense pipeline to ensure robust,precise synchronization even in hostile environments:(1)trust preprocessing that filters node participation using behavioral trust scoring;(2)anomaly isolation employing a lightweight autoencoder to detect and excise malicious nodes in real time;(3)reliability-weighted consensus that prioritizes high-trust nodes during time aggregation;and(4)convergence-optimized synchronization that dynamically adjusts parameters using theoretical stability bounds.We provide rigorous convergence analysis including a closed-form expression for convergence time,and validate the protocol through both simulations and realworld experiments on a controlled 16-node testbed.Under Sybil attacks with five malicious nodes within this testbed,iSTSP maintains synchronization error increases under 12%and achieves a rapid convergence.Compared to state-ofthe-art protocols like TPSN,SE-FTSP,and MMAR-CTS,iSTSP offers 60%faster detection,broader threat coverage,and more than 7 times lower synchronization error,with a modest 9.3%energy overhead over 8 h.We argue this is an acceptable trade-off for mission-critical deployments requiring guaranteed security.These findings demonstrate iSTSP’s potential as a reliable solution for secure WSN synchronization and motivate future work on large-scale IoT deployments and integration with energy-efficient communication protocols. 展开更多
关键词 Time-sensitive wireless sensor networks(TS-WSNs) secure time synchronization protocol trust-based authentication autoencoder model deep learning malicious node detection Internet of Things energyefficient communication protocols
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Experimental demonstration of 8190-km long-haul semiconductor-laser chaos synchronization induced by digital optical communication signal 被引量:4
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作者 Anbang Wang Junli Wang +4 位作者 Lin Jiang Longsheng Wang Yuncai Wang Lianshan Yan Yuwen Qin 《Light: Science & Applications》 2025年第2期333-343,共11页
Common-signal-induced synchronization of semiconductor lasers have promising applications in physical-layer secure transmission with high speed and compatibility with the current fiber communication.Here,we propose an... Common-signal-induced synchronization of semiconductor lasers have promising applications in physical-layer secure transmission with high speed and compatibility with the current fiber communication.Here,we propose an ultra-long-distance laser synchronization scheme by utilizing random digital optical communication signal as the common drive signal.By utilizing the long-haul optical coherent communication techniques,high-fdelity fiber transmission of the digital drive can be achieved and thus ultra-long-distance synchronization is expected.Experiments were implemented with distributed feedback lasers injected by a random-digital phase-modulated drive light.Results show that high-quality synchronization can be achieved as the drive signal rate is larger than the laser relaxation frequency and the transmission bit error ratio is below a critical value.Chaos synchronization over 8191-km fiber transmission was experimentally achieved.Compared to traditional common-signal-induced synchronization using analog drive signal such as chaos,the distance is increased by 8 times,and complicated hardware devices for channel impairment compensation are no longer required.In addition,the proposed method does not sacrifice communication capacity like traditional methods which need a channel to transmit analog drive signal.It is therefore believed that this common-digital-signal induced laser synchronization paves a way for secure backbone and submarine transmission. 展开更多
关键词 digital optical communication signal chaos synchronization long haul synchronization fiber communication secure transmission semiconductor lasers digital drive digital optical communication
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Research on Carrier Synchronization of QPSK Based on Simulink 被引量:1
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作者 Zhaoxu Zhang Zhigang Li Zheng Dou 《International Journal of Communications, Network and System Sciences》 2017年第8期227-235,共9页
As an important part of the communication system, synchronization technology is a communication system to run the correct protection, has been a hot topic in communication systems research. Four-phase phase shift keyi... As an important part of the communication system, synchronization technology is a communication system to run the correct protection, has been a hot topic in communication systems research. Four-phase phase shift keying (QPSK) circuit structure is relatively simple, and has a good band utilization, in the modern communication has a wide range of applications. Corresponding research on carrier synchronization for QPSK coherent demodulation is carried out. By comparing several carrier recovery loops, The quaternary loose tail loop is selected as carrier recovery loop. First of all, the core part of the digital phase-locked loop analysis and implementation, and finally through the tool Simulink to complete the realization of the system. 展开更多
关键词 CARRIER synchronization QUATERNARY LOOSE TAIL Loop SIMULINK digital communication
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Time synchronization in communication networks based on the Beidou foundation enhancement system 被引量:8
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作者 LIU Hui ZHANG RuFei +1 位作者 LIU JingNan ZHANG Ming 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2016年第1期9-15,共7页
Communication networks rely on time synchronization information generated by base station equipment(either the Global Navigation Satellite System receiver or rubidium atomic clock) to enable wireless networking and co... Communication networks rely on time synchronization information generated by base station equipment(either the Global Navigation Satellite System receiver or rubidium atomic clock) to enable wireless networking and communications. Meanwhile, the time synchronization among base stations depends on the Network Time Protocol. With the development of mobile communication systems, the corresponding time synchronization accuracy has increased as well. In this case, the use of sparsely distributed-high-precision synchronization points to synchronize time for an entire network with high precision is a key problem and is the foundation of the enhanced network communication. The current receiver equipment for China's digital synchronous network typically includes dedicated multi-channel GPS receivers for communication; however, with the development of GPS by the USA, network security has been destabilized and reliability is low. Nonetheless, network time synchronization based on Beidou satellite navigation system timing devices is an inevitable development trend for China's digital communications network with the establishment of the independently developed BDS, especially the implementation and improvement of the Beidou foundation enhancement system. 展开更多
关键词 Beidou satellite navigation system precision timing time synchronization Beidou foundation enhancement system communication network time synchronization
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Generative Adversarial Networks Based Digital Twin Channel Modeling for Intelligent Communication Networks 被引量:9
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作者 Yuxin Zhang Ruisi He +5 位作者 Bo Ai Mi Yang Ruifeng Chen Chenlong Wang Zhengyu Zhang Zhangdui Zhong 《China Communications》 SCIE CSCD 2023年第8期32-43,共12页
Integration of digital twin(DT)and wireless channel provides new solution of channel modeling and simulation,and can assist to design,optimize and evaluate intelligent wireless communication system and networks.With D... Integration of digital twin(DT)and wireless channel provides new solution of channel modeling and simulation,and can assist to design,optimize and evaluate intelligent wireless communication system and networks.With DT channel modeling,the generated channel data can be closer to realistic channel measurements without requiring a prior channel model,and amount of channel data can be significantly increased.Artificial intelligence(AI)based modeling approach shows outstanding performance to solve such problems.In this work,a channel modeling method based on generative adversarial networks is proposed for DT channel,which can generate identical statistical distribution with measured channel.Model validation is conducted by comparing DT channel characteristics with measurements,and results show that DT channel leads to fairly good agreement with measured channel.Finally,a link-layer simulation is implemented based on DT channel.It is found that the proposed DT channel model can be well used to conduct link-layer simulation and its performance is comparable to using measurement data.The observations and results can facilitate the development of DT channel modeling and provide new thoughts for DT channel applications,as well as improving the performance and reliability of intelligent communication networking. 展开更多
关键词 digital twin channel modeling generative adversarial networks intelligent communication networking
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Clapping and Broadcasting Synchronization in Wireless Sensor Networks 被引量:1
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作者 Xingfa Shen Xin Qian Bei Zhao Qiming Fang Guojun Dai 《Tsinghua Science and Technology》 SCIE EI CAS 2011年第6期632-639,共8页
The Clapping and Broadcasting Synchronization (CBS) algorithm, which is specifically designed for large-scale sensor networks with low communication overhead and high synchronization accuracy, is introduced. The CBS... The Clapping and Broadcasting Synchronization (CBS) algorithm, which is specifically designed for large-scale sensor networks with low communication overhead and high synchronization accuracy, is introduced. The CBS protocol uses broadcasting rather than pairwise communication to accomplish synchronization. In the CBS scheme, the initial offset of local clocks can be successfully eliminated by the operation of clapping nodes, which leads to significant improvement in synchronization accuracy. The CBS protocol was implemented on the TelosB platform and its performance was evaluated in a variety of experiments. The results demonstrate that the CBS protocol outperforms the current state-of-the-art approach, the Flooding Time Synchronization Protocol (FTSP), in both single-hop and multi-hop scenarios in terms of synchronous precision and energy consumption. In multi-hop scenarios, the CBS algorithm keeps about 50% of its synchronization errors within 1 ms. In comparison, the FTSP keeps less than 7% of its synchronization errors within this range. In both single-hop and multi-hop scenarios, the CBS protocol is over 3.2 times more energy-efficient than the FTSP. 展开更多
关键词 wireless sensor networks time synchronization communication overhead synchronizationaccuracy
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Digital Communication Using Multi-mode Chaotic Lasers 被引量:2
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作者 WULiang ZHUShi-Qun 《Communications in Theoretical Physics》 SCIE CAS CSCD 2004年第2期225-230,共6页
The digital communication in a system of two multi-mode solid state chaotic lasers is investigated theoretically. If the usual method working well in a single-mode laser system is applied to a multi-mode laser system,... The digital communication in a system of two multi-mode solid state chaotic lasers is investigated theoretically. If the usual method working well in a single-mode laser system is applied to a multi-mode laser system, the memory effect of the two nearest digits can cause high rate of mistakes when the digits are decoded through the subtraction of receiver output from the transmittal. By introducing the deviations of two nearest maximum and minimum fluctuationsof the signal to decode the digit, the message can be decoded correctly. Also, this communication method does not critically depend on the quality of the chaotic synchronization of the two multi-mode lasers. 展开更多
关键词 digital communication multi-mode lasers chaotic synchronization
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A Secure Clock Synchronization Scheme for Wireless Sensor Networks Against Malicious Attacks 被引量:1
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作者 ZHANG Xuxin LIU Yanzhang ZHANG Ya 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2021年第6期2125-2138,共14页
This paper studies the secure and accurate clock synchronization problem for sensor networks with time-varying delays and malicious attacks.A novel clock synchronization scheme based on the attack detection mechanism,... This paper studies the secure and accurate clock synchronization problem for sensor networks with time-varying delays and malicious attacks.A novel clock synchronization scheme based on the attack detection mechanism,attack compensation,and maximum consensus protocol is proposed.The proposed scheme starts with the detection of the malicious attacks and the clock data under attacks is eliminated.On the basis,software clock parameters are updated so that all the nodes in the network can have the same software skew and offset,so the clock synchronization can be achieved.Furthermore,it is theoretically proved that the proposed scheme can achieve the attack detection correctly,and further can guarantee a secure and accurate clock synchronization.In addition,extensive simulations are also conducted to validate the effectiveness of the proposed scheme. 展开更多
关键词 Clock synchronization communication delays CONSENSUS malicious attacks wireless sensor networks
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Digital communication of two-dimensional messages in a chaotic optical system
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作者 周云 吴亮 朱士群 《Chinese Physics B》 SCIE EI CAS CSCD 2005年第11期2196-2201,共6页
The digital communication of two-dimensional messages is investigated when two solid state multi-mode chaotic lasers are employed in a master-slave configuration. By introducing the time derivative of intensity differ... The digital communication of two-dimensional messages is investigated when two solid state multi-mode chaotic lasers are employed in a master-slave configuration. By introducing the time derivative of intensity difference between the receiver (carrier) and the transmittal (carrier plus signal), several signals can be encoded into a single pulse. If one signal contains several binary bits, two-dimensional messages in the form of a matrix can be encoded and transmitted on a single pulse. With these improvements in secure communications using chaotic multi-mode lasers, not only the transmission rate can be increased but also the privacy can be enhanced greatly. 展开更多
关键词 digital communication multi-mode laser two-dimensional messages chaotic synchronization
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