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A NONLINEAR DEGENERATE PARABOLIC EQUATION WITH NON-LOCAL SOURCE
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作者 Deng Weibing Xie ChunhongDept.ofMath.,NanjingUniv.,Nanjing210093,China. 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2002年第2期171-176,共6页
The global existence and finite time blow up of the positive solution for a nonlinear degenerate parabolic equation with non- local source are studied
关键词 global existence blow up degenerate parabolic equation non- local source
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Performance of Source Localization Based on Sensors Equipped with GNSS Receivers and a Closed-Form Solution
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作者 Wen Jian Li Hong Lu Mingquan 《China Communications》 2025年第11期28-39,共12页
Many applications for locating a radio signal source employ Global Navigation Satellite System(GNSS)to obtain a sensor’s position.By using GNSS,a sensor can also synchronize with other sensors.For a sensor that is eq... Many applications for locating a radio signal source employ Global Navigation Satellite System(GNSS)to obtain a sensor’s position.By using GNSS,a sensor can also synchronize with other sensors.For a sensor that is equipped with a GNSS receiver,it can be independent and is readily to be loaded on a flexible platform,such as an unmanned aerial vehicle(UAV).In this paper,we consider using such sensors and timeof-arrival(TOA)techniques to locate a radio signal source,and analyze the performance limit of source localization.Besides the performance analysis,this paper provides the geometric interpretation of the performance limit,which can illustrate how a sensor contributes to the source localization accuracy.The performance analysis and the geometric interpretation together give important insights into how to make better use of GNSS receiver for passive localization.Another contribution is we propose a modified closedform solution for this localization problem.Compared with previous literature,this solution takes both sensor position and synchronization uncertainty into account,and it does not need proper initial guess of source position and is computationally efficient.Our simulation results validate the efficiency of this solution. 展开更多
关键词 algebraic solution CRLB GNSS source localization TOA
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Coherence CLEAN-SC(C-CLEAN-SC) phased array processing for coherent sound source localization
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作者 Ce ZHANG Wei MA 《Chinese Journal of Aeronautics》 2025年第7期140-146,共7页
Deconvolution methods are commonly used to improve the performance of phased array beamforming for sound source localization. However, for coherent sources localization, existing deconvolution methods are either highl... Deconvolution methods are commonly used to improve the performance of phased array beamforming for sound source localization. However, for coherent sources localization, existing deconvolution methods are either highly computationally demanding or sensitive to parameters.A deconvolution method, based on modifications of Clean based on Source Coherence(CLEAN-SC), is proposed for coherent sources localization. This method is called Coherence CLEAN-SC(C–CLEAN-SC). C–CLEAN-SC is able to locate coherent and incoherent sources in simulation and experimental cases. It has a high computational efficiency and does not require pre-set parameters. 展开更多
关键词 Coherent source localization Phased array BEAMFORMING CLEAN-SC DECONVOLUTION
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Real-Time Sound Source Localization Method Based on Selective SRP-PHAT and Vision Fusion
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作者 Jinde Huang 《Journal of Electronic Research and Application》 2025年第4期235-241,共7页
Aiming at the problem that the traditional SRP-PHAT sound source localization method performs intensive search in a 360-degree space,resulting in high computational complexity and difficulty in meeting real-time requi... Aiming at the problem that the traditional SRP-PHAT sound source localization method performs intensive search in a 360-degree space,resulting in high computational complexity and difficulty in meeting real-time requirements,an innovative high-precision sound source localization method is proposed.This method combines the selective SRP-PHAT algorithm with real-time visual analysis.Its core innovations include using face detection to dynamically determine the scanning angle range to achieve visually guided selective scanning,distinguishing face sound sources from background noise through a sound source classification mechanism,and implementing intelligent background orientation selection to ensure comprehensive monitoring of environmental noise.Experimental results show that the method achieves a positioning accuracy of±5 degrees and a processing speed of more than 10FPS in complex real environments,and its performance is significantly better than the traditional full-angle scanning method. 展开更多
关键词 Sound source localization SRP-PHAT Audio-visual fusion Real-time processing Microphone array
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Resource-Aware Probability-Based Collaborative Odor Source Localization Using Multiple UAVs
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作者 Wang Shan Sun Sheng +3 位作者 Liu Min Gao Bo Wang Yuwei Lin Fuhong 《China Communications》 2025年第12期269-280,共12页
Benefitting from UAVs’characteristics of flexible deployment and controllable movement in 3D space,odor source localization with multiple UAVs has been a hot research area in recent years.Considering the limited reso... Benefitting from UAVs’characteristics of flexible deployment and controllable movement in 3D space,odor source localization with multiple UAVs has been a hot research area in recent years.Considering the limited resources and insufficient battery capacities of UAVs,it is necessary to fast locate the odor source with low-complexity computation and minimal interaction under complicated environmental states.To this end,we propose a multi-UAV collaboration based odor source localization(MUC-OSL)method,where source estimation and UAV navigation are iteratively performed,aiming to accelerate the searching process and reduce the resource consumption of UAVs.Specifically,in the source estimation phase,we present a collaborative particle filter algorithm on the basis of UAVs’cognitive difference and collaborative information to improve source estimation accuracy.In the following navigation phase,an adaptive path planning algorithm is designed based on partially observable Markov decision process to distributedly determine the subsequent flying direction and moving steps of each UAV.The results of experiments conducted on two simulation platforms demonstrate that MUC-OSL outperforms existing efforts in terms of mean search time and success rate,and effectively reduces the resource consumption of UAVs. 展开更多
关键词 distributed path planning multiple UAVs odor source localization source estimation
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Localization of Acoustic Emission Source in Rock Using SMIGWO Algorithm
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作者 Jiong Wei Fuqiang Gao +2 位作者 Jinfu Lou Lei Yang Xiaoqing Wang 《International Journal of Coal Science & Technology》 2025年第2期42-51,共10页
The Grey Wolf Optimization(GWO)algorithm is acknowledged as an effective method for rock acoustic emission localization.However,the conventional GWO algorithm encounters challenges related to solution accuracy and con... The Grey Wolf Optimization(GWO)algorithm is acknowledged as an effective method for rock acoustic emission localization.However,the conventional GWO algorithm encounters challenges related to solution accuracy and convergence speed.To address these concerns,this paper develops a Simplex Improved Grey Wolf Optimizer(SMIGWO)algorithm.The randomly generating initial populations are replaced with the iterative chaotic sequences.The search process is optimized using the convergence factor optimization algorithm based on the inverse incompleteГfunction.The simplex method is utilized to address issues related to poorly positioned grey wolves.Experimental results demonstrate that,compared to the conventional GWO algorithm-based AE localization algorithm,the proposed algorithm achieves a higher solution accuracy and showcases a shorter search time.Additionally,the algorithm demonstrates fewer convergence steps,indicating superior convergence efficiency.These findings highlight that the proposed SMIGWO algorithm offers enhanced solution accuracy,stability,and optimization performance.The benefits of the SMIGWO algorithm extend universally across various materials,such as aluminum,granite,and sandstone,showcasing consistent effectiveness irrespective of material type.Consequently,this algorithm emerges as a highly effective tool for identifying acoustic emission signals and improving the precision of rock acoustic emission localization. 展开更多
关键词 Acoustic emission source localization Iterative chaotic mapping Simplex method Grey wolf optimizer algorithm
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ROBUST ACOUSTIC SOURCE LOCALIZATION FOR DIGITAL HEARING AIDS IN NOISE AND REVERBERANT ENVIRONMENT 被引量:1
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作者 赵立业 李宏生 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2010年第2期176-182,共7页
A new method in digital hearing aids to adaptively localize the speech source in noise and reverberant environment is proposed. Based on the room reverberant model and the multichannel adaptive eigenvalue decompositi... A new method in digital hearing aids to adaptively localize the speech source in noise and reverberant environment is proposed. Based on the room reverberant model and the multichannel adaptive eigenvalue decomposition (MCAED) algorithm, the proposed method can iteratively estimate impulse response coefficients between the speech source and microphones by the adaptive subgradient projection method. Then, it acquires the time delays of microphone pairs, and calculates the source position by the geometric method. Compared with the traditional normal least mean square (NLMS) algorithm, the adaptive subgradient projection method achieves faster and more accurate convergence in a low signal-to-noise ratio (SNR) environment. Simulations for glasses digital hearing aids with four-component square array demonstrate the robust performance of the proposed method. 展开更多
关键词 hearing aids acoustic source localization multichannel adaptive eigenvalue decomposition (MCAED) algorithms adaptive subgradient projection method
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A closed-form solution for moving source localization using LBI changing rate of phase difference only 被引量:11
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作者 Zhang Min Guo Fucheng Zhou Yiyu 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2014年第2期365-374,共10页
Due to the deficiencies in the conventional multiple-receiver localization syste,.ns based on direction of arrival (DOA) such as system complexity of interferometer or array and ampli- tude/phase unbalance between m... Due to the deficiencies in the conventional multiple-receiver localization syste,.ns based on direction of arrival (DOA) such as system complexity of interferometer or array and ampli- tude/phase unbalance between multiple receiving channels and constraint on antenna configuration, a new radiated source localization method using the changing rate of phase difference (CRPD) measured by a long baseline interferometer (LBI) only is studied. To solve the strictly nonlinear problem, a two-stage closed-form solution is proposed. In the first stage, the DOA and its changing rate are estimated from the CRPD of each observer by the pseudolinear least square (PLS) method, and then in the second stage, the source position and velocity are found by another PLS minimiza- tion. The bias of the algorithm caused by the correlation between the measurement matrix and the noise in the second stage is analyzed. To reduce this bias, an instrumental variable (IV) method is derived. A weighted IV estimator is given in order to reduce the estimation variance. The proposed method does not need any initial guess and the computation is small. The Cramer-Rao lower bound (CRLB) and mean square error (MSE) are also analyzed. Simulation results show that the proposed method can be close to the CRLB with moderate Gaussian measurement noise. 展开更多
关键词 Changing rate of phase dif-ference Cramer-Rao lower bound Estimation bias Instrumental variable Least square Long baseline interferome-ter Radiated source localization
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A novel AE source localization method using clustering detection to eliminate abnormal arrivals 被引量:4
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作者 Yichao Rui Zilong Zhou +2 位作者 Jianyou Lu Barkat Ullah Xin Cai 《International Journal of Mining Science and Technology》 SCIE EI CAS CSCD 2022年第1期51-62,共12页
Due to the significant effect of abnormal arrivals on localization accuracy,a novel acoustic emission(AE)source localization method using clustering detection to eliminate abnormal arrivals is proposed in the paper.Fi... Due to the significant effect of abnormal arrivals on localization accuracy,a novel acoustic emission(AE)source localization method using clustering detection to eliminate abnormal arrivals is proposed in the paper.Firstly,iterative weight estimation is utilized to obtain accurate equation residuals.Secondly,according to the distribution of equation residuals,clustering detection is used to identify and exclude abnormal arrivals.Thirdly,the AE source coordinate is recalculated with remaining normal arrivals.Experimental results of pencil-lead breaks indicate that the proposed method can achieve a better localization result with and without abnormal arrivals.The results of simulation tests further demonstrate that the proposed method possesses higher localization accuracy and robustness under different anomaly ratios and scales;even with abnormal arrivals as high as 30%,the proposed localization method still holds a correct detection rate of 91.85%. 展开更多
关键词 Acoustic emission source localization Abnormal arrivals Clustering detection
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A Quasilinear Parabolic System with Nonlocal Boundary Conditions and Localized Sources 被引量:2
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作者 HAN YU-ZHU WEI YING-JIE GAO WEN-JIE 《Communications in Mathematical Research》 CSCD 2011年第4期315-330,共16页
This paper investigates the properties of solutions to a quasilinear parabolic system with nonlocal boundary conditions and localized sources. Conditions for the existence of global or blow-up solutions are given. Glo... This paper investigates the properties of solutions to a quasilinear parabolic system with nonlocal boundary conditions and localized sources. Conditions for the existence of global or blow-up solutions are given. Global blow-up property and blow- up rate estimates are also derived. 展开更多
关键词 global existence finite time blow-up localized source nonlocal bound-ary global blow-up blow-up rate
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Passive Localization of Multiple Sources Using Joint RSS and AOA Measurements in Spectrum Sharing System 被引量:4
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作者 Kang Li Yutao Jiao +2 位作者 Yehui Song Jinghua Li Chao Yue 《China Communications》 SCIE CSCD 2021年第12期65-80,共16页
In spectrum sharing systems,locating mul-tiple radiation sources can efficiently find out the in-truders,which protects the shared spectrum from ma-licious jamming or other unauthorized usage.Com-pared to single-sourc... In spectrum sharing systems,locating mul-tiple radiation sources can efficiently find out the in-truders,which protects the shared spectrum from ma-licious jamming or other unauthorized usage.Com-pared to single-source localization,simultaneously lo-cating multiple sources is more challenging in prac-tice since the association between measurement pa-rameters and source nodes are not known.More-over,the number of possible measurements-source as-sociations increases exponentially with the number of sensor nodes.It is crucial to discriminate which measurements correspond to the same source before localization.In this work,we propose a central-ized localization scheme to estimate the positions of multiple sources.Firstly,we develop two computa-tionally light methods to handle the unknown RSS-AOA measurements-source association problem.One method utilizes linear coordinate conversion to com-pute the minimum spatial Euclidean distance sum-mation of measurements.Another method exploits the long-short-term memory(LSTM)network to clas-sify the measurement sequences.Then,we propose a weighted least squares(WLS)approach to obtain the closed-form estimation of the positions by linearizing the non-convex localization problem.Numerical re-sults demonstrate that the proposed scheme could gain sufficient localization accuracy under adversarial sce-narios where the sources are in close proximity and the measurement noise is strong. 展开更多
关键词 multiple sources localization passive lo-calization received signal strength(RSS) angle of ar-rival(AOA) measurements-source association
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A search-free near-field source localization method with exact signal model 被引量:2
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作者 PAN Jingjing SINGH Parth Raj MEN Shaoyang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2021年第4期756-763,共8页
Most of the near-field source localization methods are developed with the approximated signal model,because the phases of the received near-field signal are highly non-linear.Nevertheless,the approximated signal model... Most of the near-field source localization methods are developed with the approximated signal model,because the phases of the received near-field signal are highly non-linear.Nevertheless,the approximated signal model based methods suffer from model mismatch and performance degradation while the exact signal model based estimation methods usually involve parameter searching or multiple decomposition procedures.In this paper,a search-free near-field source localization method is proposed with the exact signal model.Firstly,the approximative estimates of the direction of arrival(DOA)and range are obtained by using the approximated signal model based method through parameter separation and polynomial rooting operations.Then,the approximative estimates are corrected with the exact signal model according to the exact expressions of phase difference in near-field observations.The proposed method avoids spectral searching and parameter pairing and has enhanced estimation performance.Numerical simulations are provided to demonstrate the effectiveness of the proposed method. 展开更多
关键词 NEAR-FIELD source localization polynomial rooting approximation error exact signal model
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A Learning Particle Swarm Optimization Algorithm for Odor Source Localization 被引量:2
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作者 Qiang Lu Ping Luo 《International Journal of Automation and computing》 EI 2011年第3期371-380,共10页
This paper is concerned with the problem of odor source localization using multi-robot system. A learning particle swarm optimization algorithm, which can coordinate a multi-robot system to locate the odor source, is ... This paper is concerned with the problem of odor source localization using multi-robot system. A learning particle swarm optimization algorithm, which can coordinate a multi-robot system to locate the odor source, is proposed. First, in order to develop the proposed algorithm, a source probability map for a robot is built and updated by using concentration magnitude information, wind information, and swarm information. Based on the source probability map, the new position of the robot can be generated. Second, a distributed coordination architecture, by which the proposed algorithm can run on the multi-robot system, is designed. Specifically, the proposed algorithm is used on the group level to generate a new position for the robot. A consensus algorithm is then adopted on the robot level in order to control the robot to move from the current position to the new position. Finally, the effectiveness of the proposed algorithm is illustrated for the odor source localization problem. 展开更多
关键词 Multi-robot system odor source localization particle swarm optimization source probability map distributed coordination architecture.
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Dimension decomposition algorithm for multiple source localization using uniform circular array 被引量:2
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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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Sound Source Localization Based on SRP-PHAT Spatial Spectrum and Deep Neural Network 被引量:3
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作者 Xiaoyan Zhao Shuwen Chen +1 位作者 Lin Zhou Ying Chen 《Computers, Materials & Continua》 SCIE EI 2020年第7期253-271,共19页
Microphone array-based sound source localization(SSL)is a challenging task in adverse acoustic scenarios.To address this,a novel SSL algorithm based on deep neural network(DNN)using steered response power-phase transf... Microphone array-based sound source localization(SSL)is a challenging task in adverse acoustic scenarios.To address this,a novel SSL algorithm based on deep neural network(DNN)using steered response power-phase transform(SRP-PHAT)spatial spectrum as input feature is presented in this paper.Since the SRP-PHAT spatial power spectrum contains spatial location information,it is adopted as the input feature for sound source localization.DNN is exploited to extract the efficient location information from SRP-PHAT spatial power spectrum due to its advantage on extracting high-level features.SRP-PHAT at each steering position within a frame is arranged into a vector,which is treated as DNN input.A DNN model which can map the SRP-PHAT spatial spectrum to the azimuth of sound source is learned from the training signals.The azimuth of sound source is estimated through trained DNN model from the testing signals.Experiment results demonstrate that the proposed algorithm significantly improves localization performance whether the training and testing condition setup are the same or not,and is more robust to noise and reverberation. 展开更多
关键词 Sound source localization microphone array steered response power-phase transform(SRP-PHAT)spatial spectrum deep neural network
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Localization method of subsynchronous oscillation source based on high-resolution time-frequency distribution image and CNN 被引量:2
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作者 Hui Liu Yundan Cheng +3 位作者 Yanhui Xu Guanqun Sun Rusi Chen Xiaodong Yu 《Global Energy Interconnection》 EI CSCD 2024年第1期1-13,共13页
The penetration of new energy sources such as wind power is increasing,which consequently increases the occurrence rate of subsynchronous oscillation events.However,existing subsynchronous oscillation source-identific... The penetration of new energy sources such as wind power is increasing,which consequently increases the occurrence rate of subsynchronous oscillation events.However,existing subsynchronous oscillation source-identification methods primarily analyze fixed-mode oscillations and rarely consider time-varying features,such as frequency drift,caused by the random volatility of wind farms when oscillations occur.This paper proposes a subsynchronous oscillation sourcelocalization method that involves an enhanced short-time Fourier transform and a convolutional neural network(CNN).First,an enhanced STFT is performed to secure high-resolution time-frequency distribution(TFD)images from the measured data of the generation unit ports.Next,these TFD images are amalgamated to form a subsynchronous oscillation feature map that serves as input to the CNN to train the localization model.Ultimately,the trained CNN model realizes the online localization of subsynchronous oscillation sources.The effectiveness and accuracy of the proposed method are validated via multimachine system models simulating forced and natural oscillation events using the Power Systems Computer Aided Design platform.Test results show that the proposed method can localize subsynchronous oscillation sources online while considering unpredictable fluctuations in wind farms,thus providing a foundation for oscillation suppression in practical engineering scenarios. 展开更多
关键词 Subsynchronous oscillation source localization Synchronous squeezing transform Enhanced short-time Fourier transform Convolutional neural networks
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Approximate Maximum Likelihood Algorithm for Moving Source Localization Using TDOA and FDOA Measurements 被引量:30
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作者 YU Huagang HUANG Gaoming +1 位作者 GAO Jun WU Xinhui 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2012年第4期593-597,共5页
A closed-form approximate maximum likelihood(AML) algorithm for estimating the position and velocity of a moving source is proposed by utilizing the time difference of arrival(TDOA) and frequency difference of arr... A closed-form approximate maximum likelihood(AML) algorithm for estimating the position and velocity of a moving source is proposed by utilizing the time difference of arrival(TDOA) and frequency difference of arrival(FDOA) measurements of a signal received at a number of receivers.The maximum likelihood(ML) technique is a powerful tool to solve this problem.But a direct approach that uses the ML estimator to solve the localization problem is exhaustive search in the solution space,and it is very computationally expensive,and prohibits real-time processing.On the basis of ML function,a closed-form approximate solution to the ML equations can be obtained,which can allow real-time implementation as well as global convergence.Simulation results show that the proposed estimator achieves better performance than the two-step weighted least squares(WLS) approach,which makes it possible to attain the Cramér-Rao lower bound(CRLB) at a sufficiently high noise level before the threshold effect occurs. 展开更多
关键词 approximate maximum likelihood(AML) maximum likelihood(ML) source localization time differences of arrival(TDOA) frequency differences of arrival(FDOA)
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Fast parallel factor decomposition technique for coherently distributed source localization 被引量:2
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作者 CHENG Qianlin ZHANG Xiaofei CAO Renzheng 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2018年第4期667-675,共9页
This paper links parallel factor(PARAFAC) analysis to the problem of nominal direction-of-arrival(DOA) estimation for coherently distributed(CD) sources and proposes a fast PARAFACbased algorithm by establishing... This paper links parallel factor(PARAFAC) analysis to the problem of nominal direction-of-arrival(DOA) estimation for coherently distributed(CD) sources and proposes a fast PARAFACbased algorithm by establishing the trilinear PARAFAC model.Relying on the uniqueness of the low-rank three-way array decomposition and the trilinear alternating least squares regression, the proposed algorithm achieves nominal DOA estimation and outperforms the conventional estimation of signal parameter via rotational technique CD(ESPRIT-CD) and propagator method CD(PM-CD)methods in terms of estimation accuracy. Furthermore, by means of the initialization via the propagator method, this paper accelerates the convergence procedure of the proposed algorithm with no estimation performance degradation. In addition, the proposed algorithm can be directly applied to the multiple-source scenario,where sources have different angular distribution shapes. Numerical simulation results corroborate the effectiveness and superiority of the proposed fast PARAFAC-based algorithm. 展开更多
关键词 source localization coherently distributed (CD)source parallel factor analysis propagator method (PM) trilin-ear decomposition
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Comparison of two Bayesian-point-estimation methods in multiple-source localization 被引量:1
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作者 LI Qianqian MING Pingshou +2 位作者 YANG Fanlin ZHANG Kai WU Ziyin 《Acta Oceanologica Sinica》 SCIE CAS CSCD 2018年第6期11-17,共7页
Environmental uncertainty represents the limiting factor in matched-field localization. Within a Bayesian framework, both the environmental parameters, and the source parameters are considered to be unknown variables.... Environmental uncertainty represents the limiting factor in matched-field localization. Within a Bayesian framework, both the environmental parameters, and the source parameters are considered to be unknown variables. However, including environmental parameters in multiple-source localization greatly increases the complexity and computational demands of the inverse problem. In the paper, the closed-form maximumlikelihood expressions for source strengths and noise variance at each frequency allow these parameters to be sampled implicitly, substantially reducing the dimensionality and difficulty of the inversion. This paper compares two Bayesian-point-estimation methods: the maximum a posteriori(MAP) approach and the marginal posterior probability density(PPD) approach to source localization. The MAP approach determines the sources locations by maximizing the PPD over all source and environmental parameters. The marginal PPD approach integrates the PPD over the unknowns to obtain a sequence of marginal probability distribution over source range or depth.Monte Carlo analysis of the two approaches for a test case involving both geoacoustic and water-column uncertainties indicates that:(1) For sensitive parameters such as source range, water depth and water sound speed, the MAP solution is better than the marginal PPD solution.(2) For the less sensitive parameters, such as,bottom sound speed, bottom density, bottom attenuation and water sound speed, when the SNR is low, the marginal PPD solution can better smooth the noise, which leads to better performance than the MAP solution.Since the source range and depth are sensitive parameters, the research shows that the MAP approach provides a slightly more reliable method to locate multiple sources in an unknown environment. 展开更多
关键词 source localization Bayesian-point-estimation method uncertain environment
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GLOBAL BLOW-UP FOR A HEAT SYSTEM WITH LOCALIZED SOURCES AND ABSORPTIONS 被引量:1
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作者 Chen Youpeng 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2007年第2期213-225,共13页
In this paper there are established the global existence and finite time blow-up results of nonnegative solution for the following parabolic system ut = △u + v^P(x0, t) - au^τ, x ∈ Ω, t 〉 0, △u + v^P(x0, t... In this paper there are established the global existence and finite time blow-up results of nonnegative solution for the following parabolic system ut = △u + v^P(x0, t) - au^τ, x ∈ Ω, t 〉 0, △u + v^P(x0, t) - bu^τ, x ∈ Ω, t 〉 0 subject to homogeneous Dirichlet conditions and nonnegative initial data, where x0 ∈ Ω is a fixed point, p, q, r, s ≥ 1 and a, b 〉 0 are constants. In the situation when nonnegative solution (u, v) of the above problem blows up in finite time, it is showed that the blow-up is global and this differs from the local sources case. Moreover, for the special case r = s = 1, lim t→T*(T*-t)^p+1/pq-1u(x,t)=(p+1)^1/pq-1(q+1)^p/pq-1(pq-1)^-p+1/pq-1, lim t→T*(T*-t)^q+1/pq-1u(x,t)=(p+1)^1/pq-1(q+1)^p/pq-1(pq-1)^-p+1/pq-1 are obtained uniformly on compact subsets of/2, where T* is the blow-up time. 展开更多
关键词 heat system localized source absorption global blow-up asymptotic behavior
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