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An Online Exploratory Maximum Likelihood Estimation Approach to Adaptive Kalman Filtering
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作者 Jiajun Cheng Haonan Chen +2 位作者 Zhirui Xue Yulong Huang Yonggang Zhang 《IEEE/CAA Journal of Automatica Sinica》 2025年第1期228-254,共27页
Over the past few decades, numerous adaptive Kalman filters(AKFs) have been proposed. However, achieving online estimation with both high estimation accuracy and fast convergence speed is challenging, especially when ... Over the past few decades, numerous adaptive Kalman filters(AKFs) have been proposed. However, achieving online estimation with both high estimation accuracy and fast convergence speed is challenging, especially when both the process noise and measurement noise covariance matrices are relatively inaccurate. Maximum likelihood estimation(MLE) possesses the potential to achieve this goal, since its theoretical accuracy is guaranteed by asymptotic optimality and the convergence speed is fast due to weak dependence on accurate state estimation.Unfortunately, the maximum likelihood cost function is so intricate that the existing MLE methods can only simply ignore all historical measurement information to achieve online estimation,which cannot adequately realize the potential of MLE. In order to design online MLE-based AKFs with high estimation accuracy and fast convergence speed, an online exploratory MLE approach is proposed, based on which a mini-batch coordinate descent noise covariance matrix estimation framework is developed. In this framework, the maximum likelihood cost function is simplified for online estimation with fewer and simpler terms which are selected in a mini-batch and calculated with a backtracking method. This maximum likelihood cost function is sidestepped and solved by exploring possible estimated noise covariance matrices adaptively while the historical measurement information is adequately utilized. Furthermore, four specific algorithms are derived under this framework to meet different practical requirements in terms of convergence speed, estimation accuracy,and calculation load. Abundant simulations and experiments are carried out to verify the validity and superiority of the proposed algorithms as compared with existing state-of-the-art AKFs. 展开更多
关键词 Adaptive Kalman filtering coordinate descent maximum likelihood estimation mini-batch optimization unknown noise covariance matrix
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Vulnerable brain regions in adolescent attention deficit hyperactivity disorder:An activation likelihood estimation meta-analysis
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作者 Yan-Ping Shu Qin Zhang +4 位作者 Da Li Jiao-Ying Liu Xiao-Ming Wang Qiang He Yong-Zhe Hou 《World Journal of Psychiatry》 2025年第4期298-309,共12页
BACKGROUND Attention deficit hyperactivity disorder(ADHD)is a prevalent neurodevelopmental disorder in adolescents characterized by inattention,hyperactivity,and impulsivity,which impact cognitive,behavioral,and emoti... BACKGROUND Attention deficit hyperactivity disorder(ADHD)is a prevalent neurodevelopmental disorder in adolescents characterized by inattention,hyperactivity,and impulsivity,which impact cognitive,behavioral,and emotional functioning.Resting-state functional magnetic resonance imaging(rs-fMRI)provides critical insights into the functional architecture of the brain in ADHD.Despite extensive research,specific brain regions consistently affected in ADHD patients during these formative years have not been comprehensively delineated.AIM To identify consistent vulnerable brain regions in adolescent ADHD patients using rs-fMRI and activation likelihood estimation(ALE)meta-analysis.METHODS We conducted a comprehensive literature search up to August 31,2024,to identify studies investigating functional brain alterations in adolescents with ADHD.We utilized regional homogeneity(ReHo),amplitude of low-frequency fluctuations(ALFF),dynamic ALFF(dALFF)and fractional ALFF(fALFF)analyses.We compared the regions of aberrant spontaneous neural activity in adolescents with ADHD with those in healthy controls(HCs)using ALE.RESULTS Fifteen studies(468 adolescent ADHD patients and 466 HCs)were included.Combining the ReHo and ALFF/fALFF/dALFF data,the results revealed increased activity in the right lingual gyrus[LING,Brodmann Area(BA)18],left LING(BA 18),and right cuneus(CUN,BA 23)in adolescent ADHD patients compared with HCs(voxel size:592-32 mm³,P<0.05).Decreased activity was observed in the left medial frontal gyrus(MFG,BA 9)and left precuneus(PCUN,BA 31)in adolescent ADHD patients compared with HCs(voxel size:960-456 mm³,P<0.05).Jackknife sensitivity analyses demonstrated robust reproducibility in 11 of the 13 tests for the right LING,left LING,and right CUN and in 11 of the 14 tests for the left MFG and left PCUN.CONCLUSION We identified specific brain regions with both increased and decreased activity in adolescent ADHD patients,enhancing our understanding of the neural alterations that occur during this pivotal stage of development. 展开更多
关键词 Attention deficit hyperactivity disorder ADOLESCENT Resting-state functional magnetic resonance imaging Activation likelihood estimation META-ANALYSIS Medial frontal gyrus PRECUNEUS Cuneus Lingual gyrus
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基于改进MLE参数辨识ARMAX模型的电力系统节点惯量评估
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作者 赵伟 武家辉 +1 位作者 买力哈巴 李伟 《电力系统保护与控制》 北大核心 2025年第16期39-49,共11页
随着风电渗透率的持续上升,电力系统的惯量水平显著下降,对系统频率稳定性构成了新的挑战。为有效评估风电并网情况下电力系统节点惯量的变化,提出了一种基于受控自回归滑动平均(autoregressive moving average with exogenous variable... 随着风电渗透率的持续上升,电力系统的惯量水平显著下降,对系统频率稳定性构成了新的挑战。为有效评估风电并网情况下电力系统节点惯量的变化,提出了一种基于受控自回归滑动平均(autoregressive moving average with exogenous variable,ARMAX)模型的改进最大似然估计(maximum likelihood estimation,MLE)参数辨识方法对系统机组直接相连节点进行惯量评估。首先,构建ARMAX模型对发电机组直接相连节点的动态特性进行建模,并利用改进MLE对模型参数进行辨识,以评估与机组直接相连的节点惯量。然后,基于k-means聚类算法对发电机组节点惯量进行分区,计算得到系统区域惯量和中心频率,并进一步对非发电机组节点频率进行自适应多项式拟合计算,得到其系统节点惯量。最后,搭建IEEE39含风力发电机组节点系统,绘制热力图直观展示电力系统节点和区域的惯量分布,验证了所提改进方法的有效性。该方法有助于精准识别系统中不同节点的动态响应特性,为风电并网系统的分析和规划提供了有力支持。 展开更多
关键词 最大似然 参数辨识 节点惯量 惯量分区 多项式拟合
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Beamspace maximum likelihood algorithm based on sum and difference beams for elevation estimation
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作者 CHEN Sheng ZHAO Yongbo +1 位作者 HU Yili PANG Xiaojiao 《Journal of Systems Engineering and Electronics》 SCIE CSCD 2024年第3期589-598,共10页
Beamspace super-resolution methods for elevation estimation in multipath environment has attracted significant attention, especially the beamspace maximum likelihood(BML)algorithm. However, the difference beam is rare... Beamspace super-resolution methods for elevation estimation in multipath environment has attracted significant attention, especially the beamspace maximum likelihood(BML)algorithm. However, the difference beam is rarely used in superresolution methods, especially in low elevation estimation. The target airspace information in the difference beam is different from the target airspace information in the sum beam. And the use of difference beams does not significantly increase the complexity of the system and algorithms. Thus, this paper applies the difference beam to the beamformer to improve the elevation estimation performance of BML algorithm. And the direction and number of beams can be adjusted according to the actual needs. The theoretical target elevation angle root means square error(RMSE) and the computational complexity of the proposed algorithms are analyzed. Finally, computer simulations and real data processing results demonstrate the effectiveness of the proposed algorithms. 展开更多
关键词 elevation estimation BEAMSPACE multipath environment maximum likelihood
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Multimodal abnormalities of brain structures in adolescents and young adults with major depressive disorder:An activation likelihood estimation meta-analysis
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作者 Yan-Ping Shu Qin Zhang +4 位作者 Yong-Zhe Hou Shuang Liang Zu-Li Zheng Jia-Lin Li Gang Wu 《World Journal of Psychiatry》 SCIE 2024年第7期1106-1117,共12页
BACKGROUND Major depressive disorder(MDD)in adolescents and young adults contributes significantly to global morbidity,with inconsistent findings on brain structural changes from structural magnetic resonance imaging ... BACKGROUND Major depressive disorder(MDD)in adolescents and young adults contributes significantly to global morbidity,with inconsistent findings on brain structural changes from structural magnetic resonance imaging studies.Activation likeli-hood estimation(ALE)offers a method to synthesize these diverse findings and identify consistent brain anomalies.METHODS We performed a comprehensive literature search in PubMed,Web of Science,Embase,and Chinese National Knowledge Infrastructure databases for neuroi-maging studies on MDD among adolescents and young adults published up to November 19,2023.Two independent researchers performed the study selection,quality assessment,and data extraction.The ALE technique was employed to synthesize findings on localized brain function anomalies in MDD patients,which was supplemented by sensitivity analyses.RESULTS Twenty-two studies comprising fourteen diffusion tensor imaging(DTI)studies and eight voxel-based morphome-try(VBM)studies,and involving 451 MDD patients and 465 healthy controls(HCs)for DTI and 664 MDD patients and 946 HCs for VBM,were included.DTI-based ALE demonstrated significant reductions in fractional anisotropy(FA)values in the right caudate head,right insula,and right lentiform nucleus putamen in adolescents and young adults with MDD compared to HCs,with no regions exhibiting increased FA values.VBM-based ALE did not demonstrate significant alterations in gray matter volume.Sensitivity analyses highlighted consistent findings in the right caudate head(11 of 14 analyses),right insula(10 of 14 analyses),and right lentiform nucleus putamen(11 of 14 analyses).CONCLUSION Structural alterations in the right caudate head,right insula,and right lentiform nucleus putamen in young MDD patients may contribute to its recurrent nature,offering insights for targeted therapies. 展开更多
关键词 Major depressive disorder ADOLESCENT Young adults NEUROIMAGING Diffusion tensor imaging Voxel-based morphometry Activation likelihood estimation META-ANALYSIS
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Vulnerable brain regions in adolescent major depressive disorder:A resting-state functional magnetic resonance imaging activation likelihood estimation meta-analysis
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作者 Hui Ding Qin Zhang +6 位作者 Yan-Ping Shu Bin Tian Ji Peng Yong-Zhe Hou Gang Wu Li-Yun Lin Jia-Lin Li 《World Journal of Psychiatry》 SCIE 2024年第3期456-466,共11页
BACKGROUND Adolescent major depressive disorder(MDD)is a significant mental health concern that often leads to recurrent depression in adulthood.Resting-state functional magnetic resonance imaging(rs-fMRI)offers uniqu... BACKGROUND Adolescent major depressive disorder(MDD)is a significant mental health concern that often leads to recurrent depression in adulthood.Resting-state functional magnetic resonance imaging(rs-fMRI)offers unique insights into the neural mechanisms underlying this condition.However,despite previous research,the specific vulnerable brain regions affected in adolescent MDD patients have not been fully elucidated.AIM To identify consistent vulnerable brain regions in adolescent MDD patients using rs-fMRI and activation likelihood estimation(ALE)meta-analysis.METHODS We performed a comprehensive literature search through July 12,2023,for studies investigating brain functional changes in adolescent MDD patients.We utilized regional homogeneity(ReHo),amplitude of low-frequency fluctuations(ALFF)and fractional ALFF(fALFF)analyses.We compared the regions of aberrant spontaneous neural activity in adolescents with MDD vs healthy controls(HCs)using ALE.RESULTS Ten studies(369 adolescent MDD patients and 313 HCs)were included.Combining the ReHo and ALFF/fALFF data,the results revealed that the activity in the right cuneus and left precuneus was lower in the adolescent MDD patients than in the HCs(voxel size:648 mm3,P<0.05),and no brain region exhibited increased activity.Based on the ALFF data,we found decreased activity in the right cuneus and left precuneus in adolescent MDD patients(voxel size:736 mm3,P<0.05),with no regions exhibiting increased activity.CONCLUSION Through ALE meta-analysis,we consistently identified the right cuneus and left precuneus as vulnerable brain regions in adolescent MDD patients,increasing our understanding of the neuropathology of affected adolescents. 展开更多
关键词 Major depressive disorder Resting-state functional magnetic resonance imaging ADOLESCENT Activation likelihood estimation META-ANALYSIS
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Local calibration of JPCP transverse cracking and IRI models using maximum likelihood estimation
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作者 Rahul Raj Singh Syed Waqar Haider James Bryce 《Journal of Road Engineering》 2024年第4期433-445,共13页
The calibration of transfer functions is essential for accurate pavement performance predictions in the PavementME design. Several studies have used the least square approach to calibrate these transfer functions. Lea... The calibration of transfer functions is essential for accurate pavement performance predictions in the PavementME design. Several studies have used the least square approach to calibrate these transfer functions. Least square is a widely used simplistic approach based on certain assumptions. Literature shows that these least square approach assumptions may not apply to the non-normal distributions. This study introduces a new methodology for calibrating the transverse cracking and international roughness index(IRI) models in rigid pavements using maximum likelihood estimation(MLE). Synthetic data for transverse cracking, with and without variability, are generated to illustrate the applicability of MLE using different known probability distributions(exponential,gamma, log-normal, and negative binomial). The approach uses measured data from the Michigan Department of Transportation's(MDOT) pavement management system(PMS) database for 70 jointed plain concrete pavement(JPCP) sections to calibrate and validate transfer functions. The MLE approach is combined with resampling techniques to improve the robustness of calibration coefficients. The results show that the MLE transverse cracking model using the gamma distribution consistently outperforms the least square for synthetic and observed data. For observed data, MLE estimates of parameters produced lower SSE and bias than least squares(e.g., for the transverse cracking model, the SSE values are 3.98 vs. 4.02, and the bias values are 0.00 and-0.41). Although negative binomial distribution is the most suitable fit for the IRI model for MLE, the least square results are slightly better than MLE. The bias values are-0.312 and 0.000 for the MLE and least square methods. Overall, the findings indicate that MLE is a robust method for calibration, especially for non-normally distributed data such as transverse cracking. 展开更多
关键词 Mechanistic empirical pavement design guide Transfer function Maximum likelihood estimation Transverse cracking International roughness index Rigid pavements
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基于K-MLE的宽浓度范围气体吸收光谱反演方法研究
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作者 俞沁怡 范博强 +5 位作者 尤坤 何莹 张世奇 蔡傲雪 韩泠然 张玉钧 《光谱学与光谱分析》 北大核心 2025年第9期2475-2483,共9页
基于朗伯-比尔定律的气体吸收光谱技术被广泛运用于各类污染气体的排放检测研究中,然而在进行高浓度气体测量时,由于设备局限性、气体饱和吸收等因素影响,光谱吸光度与浓度间出现的非线性偏移将使待测气体浓度的测量结果出现严重偏差。... 基于朗伯-比尔定律的气体吸收光谱技术被广泛运用于各类污染气体的排放检测研究中,然而在进行高浓度气体测量时,由于设备局限性、气体饱和吸收等因素影响,光谱吸光度与浓度间出现的非线性偏移将使待测气体浓度的测量结果出现严重偏差。利用待测光谱与标准光谱间的线性信号相关性反映两者浓度间的关系,提出对差分光密度谱间线性相关系数K值进行极大似然估计(K-MLE)来实现宽浓度范围内的气体浓度反演。基于移动区间法计算了气体吸收波段内不同波长处、不同区间大小内的线性相关系数,对相关系数集合进行区间估计后分段构建似然函数并求解最佳系数估计值,能够有效避免因信号扰动等问题引起的测量结果波动,最终结合浓度阈值与补偿方程实现宽范围内浓度反演。以对二氧化硫(SO_(2))气体的浓度检测为例,对不同浓度气体样品获得的30组光谱信号数据进行处理,用30组浓度均值的相对误差表征反演方法的准确性,用浓度测量值的标准差衡量反演方法的稳定性。在相同的低浓度条件下,宽带法、窄带法和K-MLE法计算得出的反演浓度均值误差分别为6.14%、22.13%和0.11%,在保证结果较好稳定性的前提下,K-MLE法实现了最佳测量精度;在0~508μL·L^(-1)的宽浓度范围内,K-MLE法浓度反演结果最大均值误差为0.98%,最大标准差为1.25,反演效果明显优于其他两种经典方法。结果表明,K-MLE法提供了一种有效的非线性偏移补偿方法,能够准确且稳定地实现宽浓度范围内的气体浓度反演。 展开更多
关键词 信号相关分析 极大似然估计 宽浓度范围 浓度反演方法
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A two-stage off-grid estimation for BTT data
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作者 Ruochen JIN Huahui HU +4 位作者 Laihao YANG Zhibo YANG Yu SUN Huan LIU Xuefeng CHEN 《Chinese Journal of Aeronautics》 2025年第7期185-202,共18页
Blade Tip Timing(BTT)enables non-contact measurements of rotating blades by placing probes strategically.Due to the uneven probe layout,BTT signals exhibit periodic irregularities.While recovering parameters like freq... Blade Tip Timing(BTT)enables non-contact measurements of rotating blades by placing probes strategically.Due to the uneven probe layout,BTT signals exhibit periodic irregularities.While recovering parameters like frequency from such signals is possible,achieving high-precision vibration parameters remains challenging.This paper proposed a novel two-stage off-grid estimation method.It leverages a unique array layout(coprime array)to obtain a regular augmented covariance matrix.Subsequently,parameters in the matrix are recovered using the sparse iterative covariance-based estimation method based on covariance fitting criteria.Finally,high-precision estimates of imprecise parameters are obtained using unconditional maximum likelihood estimation,effectively eliminating the effects of basis mismatch.Through substantial numerical and experimental validation,the proposed method demonstrates significantly higher accuracy compared to classical BTT parameter estimation methods,approaching the lower bound of unbiased estimation variance.Furthermore,due to its immunity to frequency gridding,it can track minor frequency deviations,making it more suitable for indicating blade condition. 展开更多
关键词 Blade tip timing Coprime array Maximum likelihood estimation OFF-GRID Rotating blade
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Some new results on parameter estimation of the exponential-Poisson distribution in ranked set sampling
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作者 CHEN Meng CHEN Wang-xue DENG Cui-hong 《Applied Mathematics(A Journal of Chinese Universities)》 2025年第2期413-428,共16页
The existence and uniqueness of the maximum likelihood estimator(MLE)of parameter for the exponential-Poisson distribution is discussed by Ku s[2007.A new lifetime distribution.Computational Statistics and Data Analys... The existence and uniqueness of the maximum likelihood estimator(MLE)of parameter for the exponential-Poisson distribution is discussed by Ku s[2007.A new lifetime distribution.Computational Statistics and Data Analysis 51(9):4497-4509]in simple random sampling(SRS).As an alternative to the MLEs in SRS,Joukar et al.[2021.Parameter estimation for the exponential-poisson distribution based on ranked set samples.Communication in Statistics-Theory and Methods 50(3):560-581]discussed the MLE of parameter for this distribution in ranked set sampling(RSS).However,they did not discuss the existence and uniqueness of the MLE in RSS and did not provide explicit expressions for the Fisher information in RSS.In this article,we discuss the existence and uniqueness of the MLE of parameter in RSS and give explicit expressions for the Fisher information in RSS.The MLEs will be compared in terms of asymptotic efficiencies.Numerical studies and a real data application show that these MLEs in RSS can be real competitors for those in SRS. 展开更多
关键词 ranked set sampling maximum likelihood estimator sher information number
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Efficient One-Way Time Synchronization for VANET withMLE-Based Multi-Stage Update
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作者 Hyeontae Joo Sangmin Lee +1 位作者 Kiseok Kim Hwangnam Kim 《Computers, Materials & Continua》 2025年第8期2789-2804,共16页
As vehicular networks become increasingly pervasive,enhancing connectivity and reliability has emerged as a critical objective.Among the enabling technologies for advanced wireless communication,particularly those tar... As vehicular networks become increasingly pervasive,enhancing connectivity and reliability has emerged as a critical objective.Among the enabling technologies for advanced wireless communication,particularly those targeting low latency and high reliability,time synchronization is critical,especially in vehicular networks.However,due to the inherent mobility of vehicular environments,consistently exchanging synchronization packets with a fixed base station or access point is challenging.This issue is further exacerbated in signal shadowed areas such as urban canyons,tunnels,or large-scale indoor hallswhere other technologies,such as global navigation satellite system(GNSS),are unavailable.One-way synchronization techniques offer a feasible approach under such transient connectivity conditions.One-way schemes still suffer from long convergence times to reach the required synchronization accuracy in these circumstances.In this paper,we propose a WLAN-based multi-stage clock synchronization scheme(WMC)tailored for vehicular networks.The proposed method comprises an initial hard update stage to rapidly achieve synchronization,followed by a high-precision stable stage based on Maximum Likelihood Estimation(MLE).By implementing the scheme directly at the network driver,we address key limitations of hard update mechanisms.Our approach significantly reduces the initial period to collect high-quality samples and offset estimation time to reach sub-50μs accuracy,and subsequently transitions to a refined MLE-based synchronization stage,achieving stable accuracy at approximately 30μs.The windowed moving average stabilized(reaching 90%of the baseline)in approximately 35 s,which corresponds to just 5.1%of the baseline time accuracy.Finally,the impact of synchronization performance on the localization model was validated using the Simulation of Urban Mobility(SUMO).The results demonstrate that more accurate conditions for position estimation can be supported,with an improvement about 38.5%in the mean error. 展开更多
关键词 One-way time synchronization maximum likelihood estimation hybrid clock update
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Life prediction for vacuum fluorescent display using maximum likelihood estimation 被引量:3
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作者 张建平 王睿韬 《Journal of Southeast University(English Edition)》 EI CAS 2009年第2期189-192,共4页
In order to obtain the life information of the vacuum fluorescent display (VFD) in a short time, a model of constant stress accelerated life tests (CSALT) is established with its filament temperature increased, an... In order to obtain the life information of the vacuum fluorescent display (VFD) in a short time, a model of constant stress accelerated life tests (CSALT) is established with its filament temperature increased, and four constant stress tests are conducted. The Weibull function is applied to describe the life distribution of the VFD, and the maximum likelihood estimation (MLE) and its iterative flow chart are used to calculate the shape parameters and the scale parameters. Furthermore, the accelerated life equation is determined by the least square method, the Kolmogorov-Smirnov test is performed to verify whether the VFD life meets the Weibull distribution or not, and selfdeveloped software is employed to predict the average life and the reliable life. Statistical data analysis results demonstrate that the test plans are feasible and versatile, that the VFD life follows the Weibull distribution, and that the VFD accelerated model satisfies the linear Arrhenius equation. The proposed method and the estimated life information of the VFD can provide some significant guideline to its manufacturers and customers. 展开更多
关键词 vacuum fluorescent display accelerated life test constant stress Weibull distribution maximum likelihood estimation
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基于LPNN的无源ML-TDOA估计 被引量:1
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作者 史红伟 左越 《沈阳工业大学学报》 CAS 北大核心 2024年第6期832-839,共8页
针对无源时差定位(TDOA)领域的非线性方程求解问题,提出了一种基于最大似然估计的改进型拉格朗日规划神经网络迭代求解算法。该算法利用最大似然估计构建代价函数,结合时空约束条件,建立TDOA方程的一般约束优化问题,并通过迭代求解算法... 针对无源时差定位(TDOA)领域的非线性方程求解问题,提出了一种基于最大似然估计的改进型拉格朗日规划神经网络迭代求解算法。该算法利用最大似然估计构建代价函数,结合时空约束条件,建立TDOA方程的一般约束优化问题,并通过迭代求解算法对网络的收敛性和渐近稳定性进行了证明。针对两种常见的阵列排布方式进行了仿真验证与性能分析。仿真实验结果表明,该算法能够提供精确的坐标估计,误差小于1.414×10^(-3)。与传统算法相比,该方法在各类噪声环境下表现出更优的性能,尤其在0 dB噪声环境下,其均方误差为0.7866。 展开更多
关键词 无源定位 时差定位 到达时间差 最大似然估计 拉格朗日规划神经网络 模拟神经网络 一般约束优化问题 代价函数
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Diagnostics in generalized nonlinear models based on maximum L_q-likelihood estimation 被引量:1
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作者 徐伟娟 林金官 《Journal of Southeast University(English Edition)》 EI CAS 2013年第1期106-110,共5页
In order to detect whether the data conforms to the given model, it is necessary to diagnose the data in the statistical way. The diagnostic problem in generalized nonlinear models based on the maximum Lq-likelihood e... In order to detect whether the data conforms to the given model, it is necessary to diagnose the data in the statistical way. The diagnostic problem in generalized nonlinear models based on the maximum Lq-likelihood estimation is considered. Three diagnostic statistics are used to detect whether the outliers exist in the data set. Simulation results show that when the sample size is small, the values of diagnostic statistics based on the maximum Lq-likelihood estimation are greater than the values based on the maximum likelihood estimation. As the sample size increases, the difference between the values of the diagnostic statistics based on two estimation methods diminishes gradually. It means that the outliers can be distinguished easier through the maximum Lq-likelihood method than those through the maximum likelihood estimation method. 展开更多
关键词 maximum Lq-likelihood estimation generalized nonlinear regression model case-deletion model generalized Cook distance likelihood distance difference of deviance
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Fast method for spreading sequence estimation of DSSS signal based on maximum likelihood function 被引量:12
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作者 Yanhua Peng Bin Tang Ming Lv 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2010年第6期948-953,共6页
To estimate the spreading sequence of the direct sequence spread spectrum (DSSS) signal, a fast algorithm based on maximum likelihood function is proposed, and the theoretical derivation of the algorithm is provided. ... To estimate the spreading sequence of the direct sequence spread spectrum (DSSS) signal, a fast algorithm based on maximum likelihood function is proposed, and the theoretical derivation of the algorithm is provided. By simplifying the objective function of maximum likelihood estimation, the algorithm can realize sequence synchronization and sequence estimation via adaptive iteration and sliding window. Since it avoids the correlation matrix computation, the algorithm significantly reduces the storage requirement and the computation complexity. Simulations show that it is a fast convergent algorithm, and can perform well in low signal to noise ratio (SNR). 展开更多
关键词 direct sequence spread spectrum (DSSS) signal spreading sequence maximum likelihood estimation mlE).
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Fast approximate maximum likelihood period estimation from incomplete timing data 被引量:2
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作者 Ye Haohuan Liu Zheng Jiang Wenli 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2013年第2期435-441,共7页
To estimate the period of a periodic point process from noisy and incomplete observations, the classical periodogram algorithm is modified. The original periodogram algorithm yields an estimate by performing grid sear... To estimate the period of a periodic point process from noisy and incomplete observations, the classical periodogram algorithm is modified. The original periodogram algorithm yields an estimate by performing grid search of the peak of a spectrum, which is equivalent to the periodogram of the periodic point process, thus its performance is found to be sensitive to the chosen grid spacing. This paper derives a novel grid spacing formula, after finding a lower bound of the width of the spectral mainlobe. By employing this formula, the proposed new estimator can determine an appropriate grid spacing adaptively, and is able to yield approximate maximum likelihood estimate (MLE) with a computational complexity of O(n2). Experimental results prove that the proposed estimator can achieve better trade-off between statistical accuracy and complexity, as compared to existing methods. Simulations also show that the derived grid spacing formula is also applicable to other estimators that operate similarly by grid search. 展开更多
关键词 Grid search Maximum likelihood period estimation Periodic point process PERIODOGRAM Pulse repetition frequency
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Maximum Likelihood Estimation of the Identification Parameters and Its Correction 被引量:2
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作者 An Kai, Ma Jiaguang & Fu Chengyu Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610041, P. R. China 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2002年第4期31-38,共8页
By taking the subsequence out of the input-output sequence of a system polluted by white noise, an independent observation sequence and its probability density are obtained and then a maximum likelihood estimation of ... By taking the subsequence out of the input-output sequence of a system polluted by white noise, an independent observation sequence and its probability density are obtained and then a maximum likelihood estimation of the identification parameters is given. In order to decrease the asymptotic error, a corrector of maximum likelihood (CML) estimation with its recursive algorithm is given. It has been proved that the corrector has smaller asymptotic error than the least square methods. A simulation example shows that the corrector of maximum likelihood estimation is of higher approximating precision to the true parameters than the least square methods. 展开更多
关键词 Probability density Noise Least square methods Corrector of maximum likelihood estimation.
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Joint polarization and DOA estimation based on improved maximum likelihood estimator and performance analysis for conformal array 被引量:1
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作者 SUN Shili LIU Shuai +2 位作者 WANG Jun YAN Fenggang JIN Ming 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2023年第6期1490-1500,共11页
The conformal array can make full use of the aperture,save space,meet the requirements of aerodynamics,and is sensitive to polarization information.It has broad application prospects in military,aerospace,and communic... The conformal array can make full use of the aperture,save space,meet the requirements of aerodynamics,and is sensitive to polarization information.It has broad application prospects in military,aerospace,and communication fields.The joint polarization and direction-of-arrival(DOA)estimation based on the conformal array and the theoretical analysis of its parameter estimation performance are the key factors to promote the engineering application of the conformal array.To solve these problems,this paper establishes the wave field signal model of the conformal array.Then,for the case of a single target,the cost function of the maximum likelihood(ML)estimator is rewritten with Rayleigh quotient from a problem of maximizing the ratio of quadratic forms into those of minimizing quadratic forms.On this basis,rapid parameter estimation is achieved with the idea of manifold separation technology(MST).Compared with the modified variable projection(MVP)algorithm,it reduces the computational complexity and improves the parameter estimation performance.Meanwhile,the MST is used to solve the partial derivative of the steering vector.Then,the theoretical performance of ML,the multiple signal classification(MUSIC)estimator and Cramer-Rao bound(CRB)based on the conformal array are derived respectively,which provides theoretical foundation for the engineering application of the conformal array.Finally,the simulation experiment verifies the effectiveness of the proposed method. 展开更多
关键词 conformal array maximum likelihood(ml)estimator manifold separation technology(MST) parameter estimation Cramer-Rao bound(CRB).
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Parameter Estimation of Maneuvering Target Using Maximum Likelihood Estimation for MIMO Radar with Colocated Antennas 被引量:1
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作者 Hai Li Ling Xu Zhe Zhang 《Journal of Computer and Communications》 2017年第3期69-74,共6页
The estimation of target parameters in MIMO radar signal processing is one of the most important research topics. An efficient implementation of the Maximum Likelihood estimator is presented in this paper to estimate ... The estimation of target parameters in MIMO radar signal processing is one of the most important research topics. An efficient implementation of the Maximum Likelihood estimator is presented in this paper to estimate the DOA (Direction of Arrival), initial velocity and acceleration of a maneuvering target in colocated MIMO radar. The target’s DOA is estimated in the first place, then a Maximum-Likelihood (ML) estimation based on peak search is applied to a two-dimensional grids providing estimation of initial velocity and acceleration. Simulations show that the MIMO radar has a better performance in DOA estimation than the phased array radar. By means of Monte Carlo simulations, the estimation error of initial velocity and acceleration on different SNRs are calculated. The results also suggest the effectiveness of this method. 展开更多
关键词 MIMO RADAR PARAMETER estimation MAXIMUM likelihood estimation
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