Single-Track Gray Codes and Sequences

2007 ◽  
pp. 129-133 ◽  
Author(s):  
Tuvi Etzion
Keyword(s):  
Gray Codes ◽  
Single Track

Near optimal single-track Gray codes

1996 ◽  
Vol 42 (3) ◽  
pp. 779-789 ◽  
Author(s):  
T. Etzion ◽  
K.G. Paterson
Keyword(s):  
Gray Codes ◽  
Single Track

scholarly journals Absolute Position Coding Method for Angular Sensor—Single-Track Gray Codes

Sensors ◽  
2018 ◽  
Vol 18 (8) ◽  
pp. 2728 ◽  
Author(s):  
Fan Zhang ◽  
Hengjun Zhu ◽  
Kan Bian ◽  
Pengcheng Liu ◽  
Jianhui Zhang
Keyword(s):  
Coding Theory ◽  
Linear Feedback ◽  
Gray Codes ◽  
Single Track ◽  
Absolute Position ◽  
Coding Method ◽  
Position Coding ◽  
Absolute Encoder ◽  
Feedback Shift Register ◽  
Generating Sequences

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 k-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-k-spaced heads are found, and the basic structures of these codes with the general length n are proposed and defined as twin-necklace and triplet-necklace ordering STGCs. Furthermore, d-plet-necklace ordering STGC, which unifies all the known STGCs by changing the value of d, 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.

Single-track Gray codes

1996 ◽  
Vol 42 (5) ◽  
pp. 1555-1561 ◽  
Author(s):  
A.P. Hiltgen ◽  
K.G. Paterson ◽  
M. Brandestini
Keyword(s):  
Gray Codes ◽  
Single Track

Single-track Gray codes

2002 ◽  
Author(s):  
A.P. Hiltgen ◽  
K.G. Paterson ◽  
M. Brandestini
Keyword(s):  
Gray Codes ◽  
Single Track

The structure of single-track Gray codes

1999 ◽  
Vol 45 (7) ◽  
pp. 2383-2396 ◽  
Author(s):  
M. Schwartz ◽  
T. Etzion
Keyword(s):  
Gray Codes ◽  
Single Track

Upper bound of single-track Gray codes and the combined coding method of period 2n

Ifost ◽  
2013 ◽  
Author(s):  
Fan Zhang ◽  
Hengjun Zhu ◽  
Ying Li ◽  
Cheng Qiu
Keyword(s):  
Upper Bound ◽  
Gray Codes ◽  
Single Track ◽  
Period 2 ◽  
Coding Method
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