检索结果-内蒙古大学图书馆

least square algorithm based on bias compensated principle for parameter estimation of canonical state space model

MEASUREMENT & CONTROL 2022年第5-6期55卷 330-339页

作者： Liu, Longlong Long, Zhen Azar, Ahmad Taher Zhu, Quanmin Ibraheem, Ibraheem Kasim Humaidi, Amjad J. Ocean Univ China Sch Math Sci Qingdao Peoples R China Prince Sultan Univ Coll Comp & Informat Sci Riyadh Saudi Arabia Benha Univ Fac Comp & Artificial Intelligence Banha Egypt Univ West England Dept Engn Design & Math Bristol Avon England Dijlah Univ Coll Dept Comp Tech Engn Baghdad Iraq Univ Technol Baghdad Control & Syst Engn Dept Al Sina St Baghdad 19006 Iraq

Due to the existence of system noise and unknown state variables, it is difficult to realize unbiased estimation with minimum variance for the parameter estimation of canonical state space model. This paper presents a new least squares estimator based on bias compensation principle to solve this problem, transforms canonical state space into the form suitable for the least square algorithm, introduces an augmented parameter vector and an auxiliary variable, derives parameter estimation formula based on noise compensation, realizes the unbiased estimation, and gives the specific algorithm. A simulation example is provided to verify the effectiveness of the estimator.

关键词： least square algorithm bias compensated principle parameter estimation canonical state space model

来源：评论

学校读者我要写书评

暂无评论

Improved Eccentricity Self-Detection Method Based on least square algorithm for Polar Coordinate Encoder

引用

IEEE SENSORS JOURNAL 2021年第23期21卷 26902-26911页

作者： Zhao, Guobo Lei, Biao Ye, Guoyong Ban, Yaowen Li, Xuan Liu, Hui Liu, Hongzhong Xi An Jiao Tong Univ State Key Lab Mfg Syst Engn Xian 710049 Peoples R China Zhengzhou Univ Light Ind Henan Key Lab Intelligent Mfg Mech Equipment Zhengzhou 450002 Peoples R China

Eccentricity error is the main error source of rotary encoder. In our previous work, a novel polar coordinate encoder has been presented for eccentricity self-detection and error compensation. In this paper, an improved eccentricity self-detection method based on least square algorithm is presented. We first establish the radial displacement equation in terms of rotary angle and eccentricity. Then, overdetermined equations can be constructed by taking sampling points into radial displacement equation, from which the optimal solution of eccentricity can be determined using least squares algorithm. Thus, angle compensation can be performed by submitting the calculated eccentricity into eccentricity error model. The proposed method offers a new strategy for automatic eccentricity self-detection and angle compensation of rotary encoder. Both simulation analysis and experimental test are performed to prove the effectiveness of the proposed method.

关键词： Gratings Mathematical models Adaptive optics Optical variables measurement Displacement measurement Tools Optical imaging Eccentricity self-detection least square algorithm eccentricity error compensation polar coordinate encoder

来源：评论

学校读者我要写书评

暂无评论

Diameter fitting by least square algorithm based on the data acquired with a 2-D laser scanner

Diameter fitting by least square algorithm based on the data...

引用

International Conference on Advanced in Control Engineering and Information Science (CEIS)

作者： Wang Dian Liu Jinhao Wang Jianli Beijing Forestry Univ Beijing 100085 Peoples R China

For improving the working efficiency of the forestry harvester, a laser scanner was used to collect the 2-d scan data of the target living-trees. First of all, the noise of the scanning data are filtered with a extraction algorithm. Furthermore, the diameters of the living-trees are calculated out with the least square algorithm and the curve fitting. The results of the research and experiment show that the extraction algorithm the least square algorithm are accurate;the mean error of the calculation is 4.29 millimetre. (C) 2011 Published by Elsevier Ltd. Selection and/or peer-review under responsibility of [CEIS 2011]

关键词： Laser Scan extraction algorithm least square algorithm curve fitting

来源：评论

学校读者我要写书评

暂无评论

Realization of the Instantaneous Frequency Measurement Employing the least square algorithm on DSP

Realization of the Instantaneous Frequency Measurement Emplo...

引用

2011 International Conference on Computers, Communications, Control and Automation

作者： WANG Lian-shi YAO Zhen-dong School of Electrical Engineering Chengdu University of Information Technology

ISBN: (纸本)9781612841021

At present, most oscillators of the radar transmitter are magnetron because of its simple and convenience. However, because of the instability of frequency, it is difficult to meet the requirement of the modern Doppler radar. In this paper, we employ the least square method to realize the real-time measurement of the radar transmission frequency, and make the magnetron meet the requirement of the modern Doppler radar. We implement the algorithm in the fixed-point DSP TMS320C5402 and MATLAB, and compare the two results, which prove that the accuracy of the least square algorithm realized in DSP meets the requirement of projects.

关键词： Doppler radar instantaneous frequency measurement least square algorithm fixed-point DSP

来源：评论

学校读者我要写书评

暂无评论

A flexible self-calibration method for large-stroke motion stage by using the multi-region stitching strategy based on least square algorithm

引用

APPLIED PHYSICS EXPRESS 2020年第5期13卷

作者： Huang Shengzhou Li Mujun Wang Lei Su Yongsheng Wang Fengtao Liang Yi Minist Educ Key Lab Adv Percept & Intelligent Control High En Wuhu 241000 Peoples R China Anhui Polytech Univ Sch Mech & Automot Engn Wuhu 241000 Peoples R China Univ Sci & Technol China Dept Precis Machinery & Precis Instrumentat Hefei 230026 Peoples R China

In this letter, a flexible self-calibration method for large-stroke motion stage (LSMS) was proposed, which adopted the multi-region stitching strategy based on least square algorithm. Through the segmentation of LSMS and the stitching correction of small regions, the compensation of positional accuracy of LSMS was carried out successfully, which breaks through the technical limitation that the current self-calibration method can only calibrate a limited area. This presented method can be expected to realize the calibration of LSMS of arbitrary size instead of high-cost laser interferometer measurement system.

关键词： large-stroke motion stage self-calibration multi-region stitching least square algorithm digital micromirror device digital grating mode

来源：评论

学校读者我要写书评

暂无评论

Diameter Fitting by least square algorithm Based on the Data Acquired with a 2-D Laser Scanner

引用

Procedia Engineering 2011年 15卷 1560-1564页

作者： Wang Dian Liu Jinhao Wang Jianli Beijing Forestry University Hai Dian District Beijing and 100085 China

For improving the working efficiency of the forestry harvester, a laser scanner was used to collect the 2-d scan data of the target living-trees. First of all, the noise of the scanning data are filtered with a extraction algorithm. Furthermore, the diameters of the living-trees are calculated out with the least square algorithm and the curve fitting. The results of the research and experiment show that the extraction algorithm the least square algorithm are accurate; the mean error of the calculation is 4.29 millimetre.

关键词： Laser Scan extraction algorithm least square algorithm curve fitting

来源：评论

学校读者我要写书评

暂无评论

Study On Near-Field Crosstalk Cancellation Based On least square algorithm

Study On Near-Field Crosstalk Cancellation Based On Least Sq...

引用

Asia-Pacific Signal and Information Processing Association Annual Summit and Conference

作者： Pengyun Guang Zhonghua Fu Lei Xie Wenjie Zhao Northwestern Polytechnical University Xi'an Shaanxi China Luoyang Electric Equipment Test Center

ISBN: (纸本)9781509024018

Crosstalk cancellation is an important issue in loudspeaker-based virtual auditory. Most of the correlated researches focus on far-field situation. This paper addresses near-field crosstalk cancellation problem, which has more challenges and seldom been addressed. Firstly loudspeaker can no longer be modeled as point source so that the head related transfer functions (HRTF) is very difficult to measure and the crosstalk problem is more complicated. Secondly any tiny user's head movement can not be neglected. In this paper, we use the boundary element calculation method with a scanned dummy-head (BHead210) model to obtain near-field HRTF data. Then by simulating loudspeaker as a combination of multiple synchronized point sources and considering possible head-position biases, a robust crosstalk cancellation method based on least square error is proposed. We evaluate the cancellation performance on system condition number, dynamic range loss and channel separation factor. The simulation results conclude that the proposed method is more suitable in near-field crosstalk cancellation task.

关键词： Study Near-Field Crosstalk Cancellation Based least square algorithm

来源：评论

学校读者我要写书评

暂无评论

Research on least square Channel Estimation algorithm Based on Phase Compensation 2

Research on Least Square Channel Estimation Algorithm Based ...

引用

2nd IEEE International Conference on Computer and Communications (ICCC)

作者： Dang Jingjing Cheng Li Yuan Meng Wuhan Inst Technol Sch Elect & Informat Engn Wuhan Hubei Peoples R China

ISBN: (纸本)9781467390262

Channel estimation is very important in a communication system. An important indicator for the evaluation of a wireless communication system is the symbol error rate of channel estimation. With the analysis of least square (LS) channel estimation algorithm, this paper proposed an improved LS channel estimation algorithm based on phase compensation. Experimental results show that this algorithm can effectively reduce the symbol error rate of the system and improve the accuracy of the LS algorithm. Furthermore, the proposed algorithm reduces the impacts of system's frequency offset on channel estimation.

关键词： symbol error rate channel estimation least square algorithm

来源：评论

学校读者我要写书评

暂无评论

Reduced-order identification methods: Hierarchical algorithm or variable elimination algorithm

引用

AUTOMATICA 2025年 172卷

作者： Chen, Jing Mao, Yawen Wang, Dongqing Gan, Min Zhu, Quanmin Liu, Feng Jiangnan Univ Sch Sci Wuxi 214122 Peoples R China Qingdao Univ Coll Elect Engn Qingdao 266071 Peoples R China Qingdao Univ Coll Comp Sci & Technol Qingdao 266071 Peoples R China Univ West England Dept Engn Design & Math Bristol BS16 1QY England Stevens Inst Technol Sch Syst & Enterprises Hoboken NJ 07030 USA

Reduced-order identification algorithms are usually used in machine learning and big data technologies, where the large-scale systems widely exist. For large-scale system identification, traditional least squares algorithm involves high-order matrix inverse calculation, while traditional gradient descent algorithm has slow convergence rates. The reduced-order algorithm proposed in this paper has some advantages over the previous work: (1) via sequential partitioning of the parameter vector, the calculation of the inverse of a high-order matrix can be reduced to low-order matrix inverse calculations;(2) has a better conditioned information matrix than that of the gradient descent algorithm, thus has faster convergence rates;(3) its convergence rates can be increased by using the Aitken acceleration method, therefore the reduced-order based Aitken algorithm is at least quadratic convergent and has no limitation on the step-size. The properties of the reduced-order algorithm are also given. Simulation results demonstrate the effectiveness of the proposed algorithm. (c) 2024 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

关键词： Reduced-order algorithm least square algorithm Gradient descent algorithm Condition number Hierarchical identification algorithm Variable elimination algorithm

来源：评论

学校读者我要写书评

暂无评论

Laser spot center location by using the gradient-based and least square algorithms

Laser spot center location by using the gradient-based and l...

引用

IEEE International Instrumentation and Measurement Technology Conference (I2MTC)

作者： Xin, Lei Xu, Lijun Cao, Zhang Beihang Univ Sch Instrumentat & Optoelect Engn Beijing 100191 Peoples R China

ISBN: (纸本)9781467346214

A new method for laser spot center location by using the gradient-based and the least square algorithms is introduced in this paper. Compared with the traditional gravity-based algorithm, the results obtained by the proposed method are of higher accuracy. In the experiments, the dimension of the image detected by the CCD is 1024x768. The relative errors of the results were calculated in order to validate the method proposed in this paper. Comparisons of the results were made between the proposed method and the gravity-based algorithm. Results show that the proposed method is of higher accuracy for the center location and the accuracy can be improved by increasing the number of the selected points in the least square algorithm.

关键词： laser spot gradient-based algorithm center location least square algorithm

来源：评论

学校读者我要写书评

暂无评论

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案：

请选择收藏分类：

通借通还

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：