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

Fan Zhang1, Hengjun Zhu2, Kan Bian3

  • 1School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510006, China. zhangfan1107@bjtu.edu.cn.

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Summary
This summary is machine-generated.

Single-track Gray codes (STGCs) offer advantages for angular sensors. Researchers discovered novel STGC types, expanding coding theory and enabling a new absolute encoder prototype.

Keywords:
Gray codeabsolute encoderabsolute position codingabsolute position sensingnecklacesingle-track Gray code

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Area of Science:

  • Information Theory
  • Coding Theory
  • Sensor Technology

Background:

  • Single-track Gray codes (STGCs) are an advanced absolute position coding method for angular sensors.
  • Existing STGC coding theory is incomplete, making construction challenging despite their advantages over traditional Gray codes and linear feedback shift register codes.
  • Current research focuses on k-spaced head STGCs, specifically necklace and self-dual necklace orderings.

Purpose of the Study:

  • To address the incomplete coding theory of STGCs and facilitate their construction.
  • To discover novel types of STGCs beyond the existing k-spaced head categories.
  • To propose a unified framework for STGCs and validate their practical application.

Main Methods:

  • Development of three constraints on generating sequences to optimize a searching algorithm.
  • Exhaustive search for length-6 STGCs using the accelerated algorithm.
  • Design and prototyping of a single-track absolute encoder.

Main Results:

  • Complete search results for length-6 STGCs obtained, identifying 132 unique codes.
  • Discovery of two novel STGC types with non-k-spaced heads: twin-necklace and triplet-necklace ordering STGCs.
  • Proposal of a generalized d-plet-necklace ordering STGC, unifying all known STGC types.

Conclusions:

  • The study successfully expands the known STGC coding theory by introducing new code types and a generalized framework.
  • The developed STGCs are practically viable, as demonstrated by a functional single-track absolute encoder prototype.
  • STGCs offer a convenient and effective alternative to traditional position coding methods in angular sensing applications.