Absolute Position Encoders Using Double-Track Gray Codes

A slight increase in the physical dimensions of the single-track gray code (STGC) encoders in exchange for using fewer reading heads (fewer bits) is the subject that is addressed in this article. A construction algorithm is proposed to combine two STGCs in order to obtain a double-track gray code (D...

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Bibliographic Details
Published in:IEEE transactions on instrumentation and measurement Vol. 74; pp. 1 - 7
Main Authors: Fakhri, Ashkan, Mallah Livani, Abdolber
Format: Journal Article
Language:English
Published: New York IEEE 01.01.2025
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Absolute position encoder
Algorithms
Coders
Codes
Detectors
double track
Encoding
encoding and decoding
gray code
Head
Heuristic algorithms
Light emitting diodes
Magnetic heads
Mathematical models
Radar tracking
Reflective binary codes
single track
ISSN:0018-9456, 1557-9662
Online Access:Get full text
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Summary:A slight increase in the physical dimensions of the single-track gray code (STGC) encoders in exchange for using fewer reading heads (fewer bits) is the subject that is addressed in this article. A construction algorithm is proposed to combine two STGCs in order to obtain a double-track gray code (DTGC). The proposed algorithm can be repeatedly used to obtain triple-track gray codes (TTGCs) and so on. The proposed algorithm can be used to quickly obtain very high period codes with a sufficiently small number of tracks. Furthermore, it can be used to obtain desirable codes by trading off the number of tracks and the length of the code. For a given desired period, this tradeoff may provide the opportunity of using fewer bits compared to STGCs. In particular, length n period <inline-formula> <tex-math notation="LaTeX">2^{n} </tex-math></inline-formula> encoders can be constructed with almost half the number of tracks of the corresponding conventional gray code encoders.
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ISSN:0018-9456
1557-9662
DOI:10.1109/TIM.2024.3493887