Absolute angle measurement using a phase-encoded binary graduated disk |
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| Affiliation: | 1. Korea Research Institute of Standards and Science, 267 Gajeong-ro, Yuseong-gu, Daejeon, Republic of Korea;2. Korea University of Science and Technology, 217 Gajeong-ro, Yuseong-gu, Daejeon, Republic of Korea;1. Department of Surgical Sciences, Università di Cagliari, Via Binaghi 4, 09121 Cagliari, Italy;2. Department of Management and Production Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy;3. Thermodynamics Division, Istituto Nazionale di Ricerca Metrologica, Strada delle Cacce 91, 10135 Torino, Italy;4. CNR Institute of Acoustics and Sensors “O. M. Corbino”, Via Fosso del Cavaliere 100, 00133 Roma, Italy;1. School of Automation Science and Electrical Engineering, Beihang University, Beijing, China;2. Beijing Simulation Center, Beijing, China;1. Automation and Micro-Mechatronics Systems Department, FEMTO-ST Institute, Univ. Bourgogne Franche-Comté, UMR CNRS 6174, ENSMM, UFC, Besançon, France;2. Applied Mechanics Department, FEMTO-ST Institute, Univ. Bourgogne Franche-Comté, UMR CNRS 6174, ENSMM, UFC, Besançon, France;3. Sección Física, Departamento de Ciencias, Pontificia Universidad Católica del Perú, Apartado 1761, Lima, Peru;1. The Interuniversity Center for the New Techniques and Medical Technologies, Cracow, Poland;2. Institute of Applied Mechanics, Cracow University of Technology, Cracow, Poland |
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| Abstract: | A new absolute angle measurement method using a phase-encoded binary graduated disk (PE-BGD) is presented. An absolute position binary code (APBC) is encoded by shifting the positions of binary patterns, and can be sub-divided by detecting their positions with sub-pixel resolution of a multi-element detector. Using an n-bit linear shift feedback register, we expressed a recursive APBC dividing the full circle by 2n ? 1 angular positions. An experimental setup was constructed with a microscopic imaging system, a rotation stage having a precision angle encoder, and two kinds of PE-BGDs which employed 10-bit and 13-bit APBC. The resolution of the APBC, which equals to signal period of the PE-BGD, used in each disk is 0.352° and 0.044°, respectively. We evaluated its performance by comparing the readouts of the proposed system and the angle encoder, throughout the full circle range and for one signal period. In the full circle range, the differences between two measurement systems were less than 1/50 of the resolution of the APBC. We also proved that the absolute angle could be measured with small nonlinearity error, which was less than 1/600 of the signal period. |
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| Keywords: | Absolute angle measurement Angle encoder Graduated disk Absolute position binary code Nonlinearity error |
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