A Coding and Decoding Algorithm for Two-Dimensional Absolute Position Measuring Sensor
A technology for measuring sensors and two-dimensional encoding, applied in the field of sensor encoding and decoding algorithms, can solve problems such as low efficiency, complex construction methods and decoding algorithms, and achieve the effect of improving fault tolerance.
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[0016] The present invention will be further described below in conjunction with the accompanying drawings and embodiments.
[0017] S=s 0 the s 1 ...s N-1 is the period N=2 n The n-order binary M sequence of -1 is generated based on the primitive polynomial p(D) on the n-order GF(2) field, and satisfies the following recursive formula:
[0018]
[0019] where p v ∈{0,1} is the coefficient of the primitive polynomial p(D), s -1 ,s -2 ,...,s -n as the initial condition.
[0020] S can be generated by n LFSRs (Linear Feedback Shift Registers) represented by Equation 1, such as figure 1 shown. It is formed by cascading n LFSRs, and the state of the register is the content of the current register. When the register is working, every time the discrete time increases by one time unit, the content in the register is shifted to the right by one bit, and the feedback element is shifted into the leftmost register at the same time. The output of the register generates an M ...
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