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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| Vydáno v: | IEEE transactions on instrumentation and measurement Ročník 74; s. 1 - 7 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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IEEE
01.01.2025
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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| ISSN: | 0018-9456, 1557-9662 |
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| Abstract | 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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| AbstractList | 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 [Formula Omitted] encoders can be constructed with almost half the number of tracks of the corresponding conventional gray code encoders. 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. |
| Author | Fakhri, Ashkan Mallah Livani, Abdolber |
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| SubjectTerms | 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 |
| Title | Absolute Position Encoders Using Double-Track Gray Codes |
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