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Relevant bibliographies by topics / Error separation technique

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Academic literature on the topic 'Error separation technique'

Author: Grafiati

Published: 4 June 2021

Last updated: 17 February 2022

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Journal articles on the topic "Error separation technique"

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Linxiang, Cao, Wang Hong, Li Xiongua, and Shen Qinghong. "Full-harmonic error separation technique." Measurement Science and Technology 3, no. 12 (December 1, 1992): 1129–32. http://dx.doi.org/10.1088/0957-0233/3/12/002.

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Liu, Wenwen, JunSen Fu, Biao Wang, and Shanlin Liu. "Five-point cylindricity error separation technique." Measurement 145 (October 2019): 311–22. http://dx.doi.org/10.1016/j.measurement.2019.05.072.

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Ma, Yu Zhen, Xin Hua Wang, Yan Hui Kang, and Xiao Dong. "Roundness Measurement and Error Separation Technique." Applied Mechanics and Materials 303-306 (February 2013): 390–93. http://dx.doi.org/10.4028/www.scientific.net/amm.303-306.390.

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A new three-point method for spindle roundness error measuring was introduced, three capacitive sensors were installed on the measured shaft circularly, and with a certain angle each other, while the spindle was rotating with a certain speed, the capacitive sensors had measurement on the circular profile simultaneously, then through linear combination for three-sensor output signals, the roundness error was effectively separated from the spindle error. There were no strict requirement to initial installation position by using capacitive sensors, as long as ensuring the change of measured rotor error within the linear range of sensors, we could realize effective measurement. The experiment results have verified the effectiveness of roundness error measuring system based on three capacitive sensors.

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Huang, Li Ling, and Fu Gui Huang. "Characteristics Identification of Straightness Error on Error Separation Technique." Applied Mechanics and Materials 268-270 (December 2012): 1410–15. http://dx.doi.org/10.4028/www.scientific.net/amm.268-270.1410.

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The straightness error was measured from a certain part surface by CMM. The paper expounded the principle of error separation technique, and separated the straightness error into deterministic error and random error. It proved strictly an opinion that random error is obedient to normal distribution. Extraction point of random error far outweighs the extraction point which is obtained from deterministic error. Based on the principle of sampling signal, a conclusion can be pointed out that utilizing the characteristic of random error to recover the signal of straightness error without distortion is feasible and normal distribution model can be used in the computer simulation to study the problem of extraction point.

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Liu, Wenwen, Hao Zeng, Shanlin Liu, HongTao Wang, and Wanyu Chen. "Four-point error separation technique for cylindricity." Measurement Science and Technology 29, no. 7 (May 29, 2018): 075007. http://dx.doi.org/10.1088/1361-6501/aac15b.

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Cui, Min, and Wei Yi Deng. "Application of Error Separation Technique on the Virtual Detector of Gear Error." Advanced Materials Research 538-541 (June 2012): 3038–42. http://dx.doi.org/10.4028/www.scientific.net/amr.538-541.3038.

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On the foundation of conventional double-flank gear rolling tester, a virtual detector of gear error taking personal computer as the core is developed with the use of virtual instrument technology. Systematic error is analyzed through error separation technique. The structure of the detecting system , the design of the system software based on LabVIEW, and the separation of different radial component deviations of gear are presented.

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Cappa, S., D. Reynaerts, and F. Al-Bender. "A sub-nanometre spindle error motion separation technique." Precision Engineering 38, no. 3 (July 2014): 458–71. http://dx.doi.org/10.1016/j.precisioneng.2013.12.011.

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Zhang, Lei, Yu Zhang, and Lin Ba. "Conditions of Precision Measurement for Error Separation by Multi-Probe Method." Advanced Materials Research 24-25 (September 2007): 315–20. http://dx.doi.org/10.4028/www.scientific.net/amr.24-25.315.

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There are some applications of error separation technique in actual measurement. However there exists a series of theoretical and technical obstacles, and the error separation technique lacks the objective assessment. The further discussion about the character of error separation technique by multi-probe method is made in this paper and six criteria for precision measurement of error separation technique by multi-probe method is also advanced. That is, (1) The criterion for veracity of error separation; (2) The criterion for periodicity of combination signal; (3) The criterion for the remnant first-harmonic in combination signal; (4) The criterion for validity of error separation results; (5) The criterion for validity of probes’ fixing angles ; (6) The criterion for nonzero character of weight function. These criteria are significant for the objective evaluation of the measuring apparatus’ measurement precision, the validity of the sampling data, and the confidence level of error separation results. The validity of the measuring condition was proved by the online measurement experiment.

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ZHANG, Lei. "Theory and Experiment of Three-probe Error Separation Technique." Journal of Mechanical Engineering 45, no. 06 (2009): 256. http://dx.doi.org/10.3901/jme.2009.06.256.

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Fung, Eric H. K., and S. M. Yang. "An error separation technique for measuring straightness motion error of a linear slide." Measurement Science and Technology 11, no. 10 (September 28, 2000): 1515–21. http://dx.doi.org/10.1088/0957-0233/11/10/313.

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Dissertations / Theses on the topic "Error separation technique"

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Rogers, Wendy Laurel. "A Mahalanobis-distance-based image segmentation error measure with applications in automated microscopy /." Thesis, McGill University, 1985. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=66025.

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Magalhães, Rita de Cássia Alves de. "Sistema para medição de erro de planicidade." Universidade de São Paulo, 2006. http://www.teses.usp.br/teses/disponiveis/18/18135/tde-04102006-151448/.

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A acuracidade dos processos de medição e de montagem que utilizam os desempenos como referência depende principalmente da planicidade dessas superfícies. Se a referência está fora das especificações é inútil utilizar instrumentos sofisticados e de alta acuracidade. Neste trabalho é apresentado um sistema para medição de desvios de planicidade de desempenos. O sistema é constituído por dois transdutores de deslocamento do tipo LVDT fixados no eixo z de uma máquina de medir a três coordenadas (MM3C). Durante a medição a intenção é avaliar apenas os desvios da superfície, no entanto os mancais das MM3C não se deslocam perfeitamente e as leituras obtidas são as componentes dos desvios da superfície e do movimento dos mancais. Para eliminar os componentes de erros da máquina dos dados medidos, pode-se usar as técnicas de separação de erros, e então, o desvio da superfície pode ser determinado. O sistema de medição proposto possui uma interface eletrônica que possibilita a aquisição dos sinais da régua óptica da MM3C e dos transdutores de deslocamento do tipo LVDT. Possui, também, um programa computacional que utiliza as técnicas de separação de erros para determinar o desvio de planicidade do mensurando. O sistema desenvolvido foi utilizado para medir o desvio de planicidade de uma superfície. Para verificar a eficiência do mesmo foi realizada uma comparação entre os valores de erro de planicidade obtidos através de medição com o sistema proposto e aqueles obtidos com interferômetro a laser e nível eletrônico.
The accuracy of measurement and assembly process using surface plates depends mainly on these surfaces flatness. If the surface plate does not meet the flatness specification, it is ineffective to apply high technology instruments of measurement. This research proposes is to develop a flatness measurement system for surface plates using two electronic comparators attached to the coordinate measuring machine (CMM). During a measurement process, the purpose is to evaluate the workpiece profile. However, the signals picked up by sensors include the workpiece profile and component motion error. In order to separate these errors, error separation techniques can be applied. The proposed measurement system has an electronic interface to collect data from the CMM optical scale and from the electronic comparators. The collected data are sent to a computer prepared with an algorithm for applying the error separation equations and for compute the flatness error. A surface was measured using the proposed measurement system. To evaluate its efficiency, the results were compared to the measurements made using electronic level and laser interferometric system.

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Sagawa, Juliana Keiko. "Sistema automatizado para a medição de desvios de forma e orientação." Universidade de São Paulo, 2008. http://www.teses.usp.br/teses/disponiveis/18/18146/tde-13012014-185047/.

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O modo de produção vigente exige cada vez mais rapidez, precisão e eficiência nos processos. Em resposta a essas tendências, constituem-se desafios à área de Metrologia a obtenção de sistemas de medição e algoritmos de avaliação de erros mais precisos; a avaliação de incertezas com precisão; e a execução de medições com rapidez. Neste trabalho apresenta-se um Sistema Automatizado de medição para avaliação dos desvios de forma e orientação de componentes. O sistema é baseado na utilização de um robô industrial com seis graus de liberdade e sensores de deslocamento do tipo LVDT. O emprego de sistemas como o proposto para a avaliação de desvios geométricos está condicionado à utilização de um modelo matemático de separação de erros, uma vez que a acurácia de posicionamento e a repetibilidade dos robôs disponíveis atualmente não são adequadas à medição de grandezas micrométricas. Além da aplicação do modelo de separação de erros, este trabalho inclui a elaboração modelos e rotinas de processamento de dados para a avaliação de desvios geométricos. Sistemas similares desenvolvidos foram aplicados principalmente à medição de desvios de retilineidade, e em alguns casos, circularidade. Neste trabalho, buscou-se ampliar o escopo de aplicações deste tipo de sistema, de forma a abranger não só a avaliação dos desvios de retilineidade, mas também a avaliação dos desvios de planicidade e perpendicularismo. Além disso, o enfoque da pesquisa foi dirigido à avaliação do desempenho do sistema e do modelo de separação de erros, por meio da realização de testes experimentais com três peças distintas e por meio de análise comparativa com sistemas convencionais de medição. Os resultados obtidos comprovaram a eficiência do sistema proposto, que destacou-se também por apresentar boa repetibilidade.
The current production system demands fast, efficient and precise processes. In order to address these issues, most of the research efforts in the Metrology area have been focused into the development of faster and more accurate measuring systems as well as into the definition of methods to better evaluate uncertainties in measurement. This work presents an automated system for the evaluation of form and orientation deviations of mechanical components. A six-degree-of-freedom industrial robot and LVDT sensors are used to take the measurements. The implementation of the proposed system depends on the application of a mathematical model for error separation since the accuracy of positioning and repeatability presented by the currently available industrial robots are not suitable for measuring micrometric deviations. Besides the application of the error separation model, this work also includes the development of data processing algorithms for the evaluation of geometrical deviations. Few similar systems to the proposed one were developed and applied mainly for straightness and, in some cases, roundness measurements. This work aimed at broadening the range of applications of this kind of measuring systems, making them suitable for the evaluation of flatness and orthogonality deviations. Additionally, the focus of the research was set to the performance evaluation of the system and the error separation model. In order to do that, experimental tests with three different parts were carried out. The values found were compared to the values of the deviations measured with conventional GD&T practice. The obtained results showed the efficiency of the proposed system, which also presented good repeatability.

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Shang, Lei, and lei shang@ieee org. "Modelling of Mobile Fading Channels with Fading Mitigation Techniques." RMIT University. Electrical and Computer Engineering, 2006. http://adt.lib.rmit.edu.au/adt/public/adt-VIT20061222.113303.

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This thesis aims to contribute to the developments of wireless communication systems. The work generally consists of three parts: the first part is a discussion on general digital communication systems, the second part focuses on wireless channel modelling and fading mitigation techniques, and in the third part we discuss the possible application of advanced digital signal processing, especially time-frequency representation and blind source separation, to wireless communication systems. The first part considers general digital communication systems which will be incorporated in later parts. Today's wireless communication system is a subbranch of a general digital communication system that employs various techniques of A/D (Analog to Digital) conversion, source coding, error correction, coding, modulation, and synchronization, signal detection in noise, channel estimation, and equalization. We study and develop the digital communication algorithms to enhance the performance of wireless communication systems. In the Second Part we focus on wireless channel modelling and fading mitigation techniques. A modified Jakes' method is developed for Rayleigh fading channels. We investigate the level-crossing rate (LCR), the average duration of fades (ADF), the probability density function (PDF), the cumulative distribution function (CDF) and the autocorrelation functions (ACF) of this model. The simulated results are verified against the analytical Clarke's channel model. We also construct frequency-selective geometrical-based hyperbolically distributed scatterers (GBHDS) for a macro-cell mobile environment with the proper statistical characteristics. The modified Clarke's model and the GBHDS model may be readily expanded to a MIMO channel model thus we study the MIMO fading channel, specifically we model the MIMO channel in the angular domain. A detailed analysis of Gauss-Markov approximation of the fading channel is also given. Two fading mitigation techniques are investigated: Orthogonal Frequency Division Multiplexing (OFDM) and spatial diversity. In the Third Part, we devote ourselves to the exciting fields of Time-Frequency Analysis and Blind Source Separation and investigate the application of these powerful Digital Signal Processing (DSP) tools to improve the performance of wireless communication systems.

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Liu, Pei-Ying, and 劉沛縈. "Roundness measurement and error separation technique." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/90014136781550257311.

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碩士
國立中興大學
機械工程學系所
98
The multistep method is one of the error separation techniques. It is widely used to roundness measuring instruments, the repeatability of the spindle turntable must be required very precision, verification of the measuring accuracy of the multistep method. and multistep method can of harmonic restraint. In this paper, we measurement precision article and the reference circle at same time, therefore the measurement data has no relation with the repeatability of the spindle turntable, to improve accuracy ,presented a error separating method-the combined multi-step method can get rid of harmonic restraint. In this paper, in comparison with the multi-step separation technique commonly used in roundness measuring instruments, mixed multi-step can be used to totally eliminate any harmonics restraint in the range of 1–180 upr and to make the error separation system very simple. The experimental instruments, the roundness measurement instrument is equipped with a rotating spindle. Include an incremental encoder on the spindle, a DC motor, the contact probe and laser interferometers, software for data acquisition and evaluation. Finally we compute the least squares roundness of a spherical article We measure the roundness of this spherical article four times to verify the repeatability of our system.

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Tao, Jun-Yang, and 陶俊揚. "Using Error Signal Separation Techniques to Improve Narrowband Active Noise Control System." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/18136621427271106618.

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碩士
中原大學
電機工程研究所
101
In this thesis, we proposed a new direct/parallel active noise control (ANC) system to cancel narrowband noise. In general the traditional direct/parallel ANC system has different convergent speed in every channels, worse noise reduction effect and reducing convergent speed of the ANC system. Therefore we use notch filter and empirical mode decomposition (EMD) methods to separate of the signal frequency component, so each adaptive filter uses the separated error signal to update the adaptive filter in the direct/parallel controller with the same frequency component. The simulations by Matlab were done to verify the performance with error signal separation technique. The way by using notch filter provides better performance than EMD.

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Book chapters on the topic "Error separation technique"

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Chen, Junghuei, and David Wood. "A new DNA separation technique with a low error rate." In DNA Based Computers III, 47–56. Providence, Rhode Island: American Mathematical Society, 1999. http://dx.doi.org/10.1090/dimacs/048/04.

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"2D-DIGE A Powerful Tool for Proteome Analysis." In Protocols used in Molecular Biology, edited by Sudhir K. Shekhar, Jai Godheja, and Dinesh Raj Modi, 67–73. BENTHAM SCIENCE PUBLISHERS, 2020. http://dx.doi.org/10.2174/9789811439315120010010.

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In the recent past, two dimensional gel electrophoresis has emerged as a powerful molecular biology tool for the comparative expression profiling of complex protein sample. It involves the separation as well as the resolution of diverse proteins sample on the basis of isoelectric points and molecular mass of protein in two dimension ways. In this way, it reflects the view of overall proteome status including differentiation in protein expression levels, post-translational modifications etc. Moreover, this allows the identification of novel biological signatures, which may give a particular identity of pathological background to cells or tissues associated with various types of cancers and neurological disorders. Therefore, by utilizing such tools, one can clearly investigate and compare the effects of particular drugs on cells of tissues and also one can analyze the effects of disease on the basis of variations in protein expression profile at broad spectrum. Recently, to get more error-less and accurate proteome profile, conventional 2-D gel electrophoresis has been enhanced with the inclusion of different types of protein labeling dyes which enables a more comparative analysis of diverse protein sample in a single 2-D gel. In this advanced technique (2-D-DIGE), protein samples are labeled with three different types of CyDyes (Cy2, Cy3, and Cy5) separately and combined and further resolved on the same gel. This will facilitate the more accurate spot matching on a single gel platform and will also minimize the experimental variations as commonly reported in the conventional 2D-gel electrophoresis. Therefore, in the present proteomic research era, 2D-DIGE has proved to be an extremely powerful tool with great sensitivity for up to 125 ng of proteins in clinical research volubility especially, neurological and cancer related disorders.

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Zhu, Ye, Yongjian Fu, and Huirong Fu. "Preserving Privacy in Time Series Data Mining." In Developments in Data Extraction, Management, and Analysis, 325–46. IGI Global, 2013. http://dx.doi.org/10.4018/978-1-4666-2148-0.ch015.

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Time series data mining poses new challenges to privacy. Through extensive experiments, the authors find that existing privacy-preserving techniques such as aggregation and adding random noise are insufficient due to privacy attacks such as data flow separation attack. This paper also presents a general model for publishing and mining time series data and its privacy issues. Based on the model, a spectrum of privacy preserving methods is proposed. For each method, effects on classification accuracy, aggregation error, and privacy leak are studied. Experiments are conducted to evaluate the performance of the methods. The results show that the methods can effectively preserve privacy without losing much classification accuracy and within a specified limit of aggregation error.

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Yang, Huabo, Lijun Zhang, and Yuan Cao. "Error Separation Techniques Based on Telemetry and Tracking Data for Ballistic Missile." In Modern Telemetry. InTech, 2011. http://dx.doi.org/10.5772/24761.

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Nounou, Mohamed N., Hazem N. Nounou, and Muddu Madakyaru. "Multiscale Filtering and Applications to Chemical and Biological Systems." In Handbook of Research on Novel Soft Computing Intelligent Algorithms, 749–86. IGI Global, 2014. http://dx.doi.org/10.4018/978-1-4666-4450-2.ch025.

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Measured process data are a valuable source of information about the processes they are collected from. Unfortunately, measurements are usually contaminated with errors that mask the important features in the data and degrade the quality of any related operation. Wavelet-based multiscale filtering is known to provide effective noise-feature separation. Here, the effectiveness of multiscale filtering over conventional low pass filters is illustrated though their application to chemical and biological systems. For biological systems, various online and batch multiscale filtering techniques are used to enhance the quality of metabolic and copy number data. Dynamic metabolic data are usually used to develop genetic regulatory network models that can describe the interactions among different genes inside the cell in order to design intervention techniques to cure/manage certain diseases. Copy number data, however, are usually used in the diagnosis of diseases by determining the locations and extent of variations in DNA sequences. Two case studies are presented, one involving simulated metabolic data and the other using real copy number data. For chemical processes it is shown that multiscale filtering can greatly enhance the prediction accuracy of inferential models, which are commonly used to estimate key process variables that are hard to measure. In this chapter, we present a multiscale inferential modeling technique that integrates the advantages of latent variable regression methods with the advantages of multiscale filtering, and is called Integrated Multiscale Latent Variable Regression (IMSLVR). IMSLVR performance is illustrated via a case study using synthetic data and another using simulated distillation column data.

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Česnulevičius, Algimantas, Artūras Bautrėnas, Linas Bevainis, and Donatas Ovodas. "Classical and Modern Remote Mapping Methods for Vegetation Cover." In Vegetation Index and Dynamics [Working Title]. IntechOpen, 2021. http://dx.doi.org/10.5772/intechopen.97427.

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Plant classification is quite complex and multilevel. All living organisms are divided into domains, kingdoms, types, classes, ranks, families, tribes, and species. This classification complexity is also reflected in the classification of biogeographic maps, which is much simpler. Based on floristic dependence, vegetation is grouped by connecting it into spatial (territorial) complexes. This paper presents the interfaces of mapping methods with taxonomic vegetation types at different hierarchical levels. At the same time, examples of vegetation mapping techniques from national and thematic atlases of different countries are presented in this article. UAV aerial photographs are widely used for local mapping of vegetation areas. The authors of this article propose a new methodology that can be used to assess the ecological condition of young trees and the volume of mature forest wood. The methodology is based on the separation of tree crown areas in UAV aerial photographs and photo color analysis. For automated area calculation of young trees, a PixRGB software has been developed to determine the area of pixels of the same color in aerial photographs. The software is based on the comparison of young tree crown area calculations in AutoCAD software and area measurements of individual color spectrum pixels. In the initial stage, aerial photographs are transformed to the exact size of the photographed area. Transformations were performed with an error of less than 2–3 cm. The transformation of the spectrum of aerial photographs allowed to concentrate the color of the image of young trees in a relatively narrow color range. Studies performed in 2019–2020 to assess the ecological condition of trees and the amount of wood using UAV INSPIRE 1 and PixRGB color analysis software showed the effectiveness of the applied methodology.

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Conference papers on the topic "Error separation technique"

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Guo, Lifeng, Ken Chen, and Xusheng Zhai. "Error separation technique for double flank gear testing." In Seventh International Symposium on Instrumentation and Control Technology, edited by Jiancheng Fang and Zhongyu Wang. SPIE, 2008. http://dx.doi.org/10.1117/12.806560.

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Yamaoka, Atsushi, and Keiichi Yamaguchi. "A Novel Error Separation Technique for Quadrature Modulators and Demodulators." In 2007 IEEE Radio and Wireless Symposium. IEEE, 2007. http://dx.doi.org/10.1109/rws.2007.351893.

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Mack, Stephen K., Timothy Rich, James E. Webb, Paul G. Dewa, and Horst Schreiber. "Error separation technique for microlithographic lens testing with null configurations." In 26th Annual International Symposium on Microlithography, edited by Christopher J. Progler. SPIE, 2001. http://dx.doi.org/10.1117/12.435669.

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Gu, Wei, Jiubin Tan, and Jingzhi Huang. "Theoretical analysis of harmonic suppression in multi-step error separation technique." In International Symposium on Precision Engineering Measurement and Instrumentation, edited by Junning Cui, Jiubin Tan, and Xianfang Wen. SPIE, 2015. http://dx.doi.org/10.1117/12.2181410.

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Wei, Zhong-wei, Hong-wei Jing, Long Kuang, and Shi-bin Wu. "Error separation technique for measuring aspheric surface based on dual probes." In ISPDI 2013 - Fifth International Symposium on Photoelectronic Detection and Imaging, edited by Farzin Amzajerdian, Astrid Aksnes, Weibiao Chen, Chunqing Gao, Yongchao Zheng, and Cheng Wang. SPIE, 2013. http://dx.doi.org/10.1117/12.2034649.

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Li, Jishun, Luoping Zhang, Zhimin Ni, and Maisheng Hong. "Actual profile reconstruction of a precision cylinder based on error separation technique." In Intelligent Systems and Advanced Manufacturing, edited by Kevin G. Harding and John W. V. Miller. SPIE, 2002. http://dx.doi.org/10.1117/12.455245.

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Peng, ZHANG, ZHOU Guangcheng, GAO Cong, SHAN Dongri, and YAN Peng. "Design of Roundness and Cylindricity Detector for Axle Housing Based on Multi-Step Error Separation Technique." In 2018 IEEE International Conference on Information and Automation (ICIA). IEEE, 2018. http://dx.doi.org/10.1109/icinfa.2018.8812450.

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Tan, Jiubin, Dong-Sheng Li, Xifu Qiang, Xi-Ping Zhao, and Wenguo Yang. "Error separation technique of "two-point and two-setting method" and application in contactless automatic measurement." In Measurement Technology and Intelligent Instruments, edited by Li Zhu. SPIE, 1993. http://dx.doi.org/10.1117/12.156482.

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Fung, Eric H. K., N. J. Hou, M. Zhu, and W. O. Wong. "A Novel Integrated Sensing System (ISS) for Monitoring Motion Errors of a Precision Linear Slide." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-86013.

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In order to improve the accuracy and reliability of scanning coordinate measure machines (CMM), the dynamic errors of the CMM axes have to be continuously monitored and compensated in the measurement process. This paper proposes a novel method and develops an Integrated Sensing System (ISS) to on-machine determine the three error components of a precision linear slide [1]: the straightness motion, the yaw and the roll under the effect of thermal distortion caused by friction and drive. The ISS is proposed for an illustrative model of a linear slide. It consist of eight distance sensors installed in a stationary stage, and five temperature sensors mounted at various parts of the working machine. The stationary stage is mounted opposite to the profile of the moving slide axis. The error separation algorithm of this novel method is based on Fourier series techniques. A pre-built thermal error model [2] based on thermal modal analysis [3] is used to obtain the deformations of different machine components. Then thermal looping [3] technique is used to estimate thermally-induced profile variations of the slide. The Fourier series technique is then applied to the pre-processed outputs of the distance sensors to obtain the profiles and the motion errors. Computer simulation confirmed the effectiveness of the ISS by comparing the calculated results with the pre-define inputs under thermal compensation [2] and no thermal compensation situations.

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Fung, Eric H. K., M. Zhu, X. Z. Zhang, and W. O. Wong. "An Improved Fourier Eight-Sensor (F8S) Method for Separating Straightness, Yawing and Rolling Errors of a Linear Slide." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-37611.

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This paper proposes an improved Fourier eight-sensor (F8S) measurement method for separating the straightness, yawing and rolling motion errors as well as determining the profile of a linear slide. The previous F8S method [1] used the constant parameters C2 and C4 to estimate the profile function f1(θ) in different angle ranges and f2(θ) is also computed with the same fused sensor data. By constant parameters, the profile estimation and error separation are implemented via iterative method which is a time-consuming procedure and can not maintain the acceptable accuracy. Here, the improved F8S method applies the matrix technique instead of the iterative method to estimate the profile functions by three distinct sets of C2 and C4 parameters and different fused sensor data according to the linear slide motion within different angle ranges. Furthermore various errors can be separated through simple equations based on the calculated profile functions. In the second part of this paper the uncertainty induced by the sensor reading error is analyzed in both frequency and spatial domains, and the uncertainty for the profile function can also be obtained. The simulation results confirm that the improved F8S method provides better performance and effectiveness, and is more feasible than the previous F8S method [1].

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