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Absolute Position Coding Method for Angular Sensor-Single-Track Gray Codes. | LitMetric

Absolute Position Coding Method for Angular Sensor-Single-Track Gray Codes.

Sensors (Basel)

School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510006, China.

Published: August 2018

Single-track Gray codes (STGCs) is a type of absolute position coding method for novel angular sensors, because it has single-track property over traditional Gray codes and mono-difference over linear feedback shift register codes. However, given that the coding theory of STGCs is incomplete, STGC construction is still a challenging task even though it has been defined for more than 20 years. Published coding theories and results on STGCs are about two types of STGC, namely, necklace and self-dual necklace ordering, which are collectively called as -spaced head STGCs. To find a new code, three constraints on generating sequences are proposed to accelerate the searching algorithm, and the complete searching result of length-6 STGCs is initially obtained. Among the entire 132 length-6 STGCs, two novel types of STGCs with non--spaced heads are found, and the basic structures of these codes with the general length are proposed and defined as twin-necklace and triplet-necklace ordering STGCs. Furthermore, -plet-necklace ordering STGC, which unifies all the known STGCs by changing the value of , is also defined. Finally, a single-track absolute encoder prototype is designed to prove that STGCs are as convenient as the traditional position coding methods.

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC6111776PMC
http://dx.doi.org/10.3390/s18082728DOI Listing

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