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Adaptive nonlinear Kalman filters based on credibility theory with noise correlation

Chinese Journal of Aeronautics 2024年第6期37卷 232-243页

作者： Quanbo GE Zihao SONG Bingtao ZHU Bingjun ZHANG School of Automation Nanjing University of Information Science and TechnologyNanjing 210044China Jiangsu Collaborative Innovation Center on Atmospheric Environment and Equipment Technology Nanjing 210044China School of Electrical and Automation Engineering East China Jiaotong UniversityNanchang 330013China School of Logistics Engineering Shanghai Maritime UniversityShanghai 201306China School of Electronic and Information Engineering Tongji UniversityShanghai 200092China

To solve the divergence problem and overcome the difficulty in guaranteeing filtering accuracy during estimation of the process noise covariance or the measurement noise covariance with traditional new information-based nonlinear filtering methods,we design a new method for estimating noise statistical characteristics of nonlinear systems based on the credibility Kalman Filter(KF)theory considering noise *** method first extends credibility to the Unscented Kalman Filter(UKF)and Extended Kalman Filter(EKF)based on the credibility ***,an optimization model for nonlinear credibility under noise related conditions is established considering noise correlation.A combination of filtering smoothing and credibility iteration formula is used to improve the real-time performance of the nonlinear adaptive credibility KF algorithm,further expanding its application scenarios,and the derivation process of the formula theory is ***,the performance of the nonlinear credibility filtering algorithm is simulated and analyzed from multiple perspectives,and a comparative analysis conducted on specific experimental *** simulation and experimental results show that the proposed credibility EKF and credibility UKF algorithms can estimate the noise covariance more accurately and effectively with lower average estimation time than traditional methods,indicating that the proposed algorithm has stable estimation performance and good real-time performance.

关键词： Kalman filter Extended Kalman Filter(EKF) Unscented Kalman Filter(UKF) Credibility noise correlation

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Characterizing noise correlation and enhancing coherence via qubit motion

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Fundamental Research 2021年第1期1卷 10-15页

作者： Jiaxiu Han Zhiyuan Li Jingning Zhang Huikai Xu Kehuan Linghu Yongchao Li Chengyao Li Mo Chen Zhen Yang Junhua Wang Teng Ma Guangming Xue Yirong Jin Haifeng Yu Beijing Academy of Quantum Information Sciences Beijing 100193China

The identification of spacial noise correlation is of critical importance in developing error-corrected quantum devices,but it has barely been studied so *** this work,we utilize an effective method called qubit motion,to efficiently determine the noise correlations between any pair of qubits in a 7-qubit superconducting quantum *** noise correlations between the same pairs of qubits are also investigated when the qubits are at distinct operating ***’s more,in this multi-qubit system with the presence of noise correlations,we demonstrate the enhancing effect of qubit motion on the coherence of logic qubits,and we propose a Motion-CPMG operation sequence to more efficiently protect the logic state from decoherence,which is experimentally demonstrated to extend the coherence time of logic qubits by nearly one order of magnitude.

关键词： Qubit motion noise correlation Decoherence CPMG Quantum error correction

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Filtering for linear systems with noise correlation and its application to singular systems

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Chinese Physics B 2004年第12期13卷 1977-1981页

作者：吴健荣宋士吉 DepartmentofAppliedMathematics UniversityofScienceandTechnologyofSuzhouSuzhou215009China DepartmentofAutomation TsinghuaUniversityBeijing100084China

In this paper, an optimal filter for a stochastic linear system with previous stage noise correlation is *** on this result, together with the decomposition techniques of the stochastic singular linear system, the des... 详细信息

关键词： filter stochastic system singular system noise correlation

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Stochastic Nature in Cellular Processes

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Communications in Theoretical Physics 2011年第11期56卷 913-921页

作者：刘波刘圣君王祺晏世伟耿轶钊 SAKATA Fumihiko GAO Xing-Fa Key Laboratory for Biomedical Effects of Nanomaterials and Nanosafety Institute of High Energy Physics Chinese Academy of Sciences Beijing 100049 China College of Nuclear Science and Technology Beijing Normal University Beijing 100875 China Key Laboratory of Beam Technology and Material Modification of Ministry of Education Beijing Normal University Beijing 100875 China Beijing Radiation Center Beijing 100875 China Center of Theoretical Physics National Laboratory of Heavy Ion Accelerator of Lanzhou Lanzhou 730000 China Institute of Applied Beam Science Graduate School of Science and Technology Ibaraki University Mito 310-8512 Japan

The importance of stochasticity in cellular processes is increasingly recognized in both theoretical andexperimental *** features of stochasticity in gene regulation and expression are briefly reviewed in thisarticle,which include the main experimental phenomena,classification,quantization and regulation of *** and transmission of noise in cascade networks are analyzed further and the stochastic simulation methodsthat can capture effects of intrinsic and extrinsic noise are described.

关键词： stochasticity noise correlation gene expression noise transmission

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Equipartition and retrieval of Green's function

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Earthquake Science 2010年第5期23卷 397-402页

作者： Richard L.Weaver Department of Physics University of Illinois

Physical and mathematical arguments are presented for equipartition as the statistical state achieved by a ran- dom field, independent of its sources, in the limit of enough scattering. The arguments are simplest for the case of thermally excited fields, but are shown to apply also, with caveats, in non-equilibrium acoustics and seismology. Practical implications are discussed.

关键词： noise correlation equipartition elastic waves information entropy

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90% <i>SNR</i>Improvement with Multi-Port Hall Plates

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Journal of Applied Mathematics and Physics 2020年第8期8卷 1568-1605页

作者： Udo Ausserlechner Sense and Control Department Infineon Technologies AG Villach Austria

For Hall plates, the ratio of signal over thermal noise is determined by material properties, thickness, layout geometry, magnetic field, and the electric power at which the plate is operated. For traditional Hall plates with four contacts, the optimum choice is a symmetrical device with medium-sized contacts. This paper shows that the signal-to-noise-ratio (SNR) can be further increased by up to 90% for Hall plates with more than four contacts. Supply currents flow through several pairs of contacts, while a signal conditioning circuit taps output voltages at all pairs of contacts and sums them up. We compute the total thermal noise of the sum of correlated noise voltages and relate it to the total magnetic sensitivity. We also prove that for electrically linear devices a spinning current scheme cancels out zero point errors (offset errors) in a strict sense. All our investigations use the definite resistance matrix of multi-port Hall plates. We develop an analytical theory based on recent advances in the theory of Hall plates, and then we compute the integrals and matrices numerically for symmetrical Hall plates with six to 40 contacts. We also present measurements in accordance with our theory.

关键词： Multi-Port Hall Plates noise correlation noise Efficiency Signal to noise Ratio Spinning Scheme Thermal noise Toeplitz Matrix

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Combining choice-related activity measurement and electricalperturbation to probe readout of sensory signals

Combining choice-related activity measurement and electrical...

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中国神经科学学会第十二届全国学术会议

作者： Xue-Fei Yu Yong Gu Institute of Neuroscience and Key Laboratory of Primate Neurobiology Chinese Academy of Sciences

One frequently applied method for associating neural activity with the animal’s perceptual choice is to identify choice realted signals in sensory cortices. In particular, choice related signals describe how neuronal responses covary with perceptual choices on a trial by trial basis. It also quantifies how much an ideal observer can predict the upcoming choice totally based on the preceding responses. Choice related signals so far have been identified among many sensory areas, and have been used as a tool for probing readout. However, this traditional view has now received increasingly arguments as in numerous theoretical works, yet experimental evidence is still missing. In the current study, we combined choice related activity measurement and electrical perturbation technique to probe readout of visual motion signals from multiple sensory cortical areas including MST, MT and VIP. We identified two groups of cells with roughly equal proportion: sensory-choice congruent cells（SCCC） in which choice signals are congruent with respect to the sensory preference, and sensory-choice opposite cells（SCOC） in which choice signals are incongruent with the sensory preference. We found that in areas of MST and MT, microstimulating SCCC generated effects on the animal’s behavioral choice that were consistent with the choice-related signals. In contrast, stimulating SCOC generated effects opposite to the choice-related signals. Based on these experimental results, we proposed two points that could underlie this phenomenon. First, SCOC is correlated with SCCC in a way that is unexpected from the normal noise-signal correlation structure. Second, the readout weight of SCOC should be degraded compared to SCCC. To test this, we constructed a feed-forward network model that implemented the above two conditions. We showed that the model reproduced data pattern similar to that seen in the neurophysiological experiment. Finally, our work also showed that although choice related signals i

关键词： sensory decoding choice related signals noise correlation microstimulation macaque

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