NDLI: Design of a precise subdivision system for gratings using a modified CORDIC algorithm

Content Provider	IET Digital Library
Author	Zhu, Weibin Ye, Shengjin Huang, Yao Xue, Zi
Abstract	The authors have proposed a robust linearisation method for determining the angles of sinusoidal signals generated by gratings. This scheme solves the problem of non-linear subdivision by compensating sinusoidal signal. The conventional coordinate rotation digital computer (CORDIC) algorithm is optimised by double-rotation iteration, and the calculation accuracy of arcsine and arccosine functions is improved. A pipeline preprocessing circuit based on the CORDIC is designed for the signal compensation and digital subdivision. The two processes are implemented on a field-programmable gate array chip, which exhibits a wide input range and good dynamic response. A theoretical analysis using stable signals from a function generator verifies that the subdivision system achieves the ideal subdivision effect. The subdivision system is further applied to an angle-measuring device for a 16,384-line circular grating. The results of subdivision exhibit good linearity for the grating moiré signal. Compared to the angular measurement by a laser interferometer within the three grating lines, the angle-measurement accuracy of ±0.000138° (0.5″) and the relative error is ±0.63% over a travel angle of three grating lines. Notably, the measurement error of the subdivision system is only half of that in a similar commercial product (MicroE system).
Starting Page	1284
Ending Page	1291
Page Count	8
ISSN	1751858X
Volume Number	13
e-ISSN	17518598
Issue Number	Issue 8, Nov (2019)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cds/13/8
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cds.2019.0150
Journal	IET Circuits, Devices & Systems
Publisher Date	2019-10-01
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Amplitude Deviation Angle-measurement Accuracy Angle-measuring Device Angular Measurement Arccosine Function Circular Grating Digital Arithmetic Method Digital Subdivision Direct Current Offset Deviation Double-rotation Iteration Dynamic Response Error Compensation Field Programmable Gate Array Field-programmable Gate Array Chip Function Generator Grating Line Grating Moiré Signal Ideal Subdivision Effect Interpolation And Function Approximation Light Interferometers Logic And Switching Circuit Logic Circuit Measurement Error MicroE System Modified CORDIC Algorithm Moiré Signals Nonlinear Subdivision Numerical Analysis Precise Subdivision System Design Robust Linearisation Method Rotation Digital Computer Algorithm Signal Generator Sinusoidal Signal Spatial Variables Measurement Stable Signal
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering

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