Absolute grating ruler multi-track encoding method
A technology of absolute grating ruler and encoding method, which is applied in the direction of converting sensor output, measuring device, instrument, etc., to achieve the effect of improving measurement accuracy, easy generation, and large encoding capacity
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[0033] Generation of m-order pseudo-random sequence:
[0034] Such as figure 1 , assuming the initial state is ( a n-4 a n-3 a n-2 a n-1 )= (1000), the feedback logic is:
[0035] a n-1 =a n-3 ⊕ a n-4 .
[0036] Then a set of pseudorandom sequences can be obtained:
[0037] The m-sequence pseudo-random code feedback series is n, and the code length is
[0038] L m =2 n -1
[0039] The recurring relational expression of the m-sequence linear feedback shift register:
[0040]
[0041] Ruojing k Shifting times, the output of the lth stage is:
[0042]
[0043] The characteristic polynomial of an m-sequence linear feedback shift register:
[0044]
[0045] The original polynomial of the m-sequence linear feedback shift register:
[0046]The necessary and sufficient condition for an n-stage linear feedback shift register to generate m sequences is that its characteristic polynomial is a primitive polynomial of degree n. If an n-degree polynomial...
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