Single-code-channel absolute encoding and decoding method based on dual periodic sequences
An absolute encoding and decoding method technology, which is applied in the field of industrial control, can solve the problems of large memory occupation, time-consuming, and inability to meet high-speed and high-precision gratings for decoding algorithms, and achieve the effect of occupying less memory
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[0029] The invention provides a coding / decoding technology suitable for manufacturing high-speed and high-precision long gratings. The given method constructs the code based on the compound operation of the double-period sequence. In theory, an arbitrary length code can be given, while the decoding only depends on the properties of the two-period sequence. Therefore, the given single-channel absolute encoding / decoding algorithm has very obvious advantages when a longer encoding sequence is required.
[0030] Definition: Let the ordered codeword set of t-bit word length containing p positions be W={W i |i=1,2,...,p}, where is the codeword at the i-th position, and the symbol Takes '0' or '1'. If any two codewords in W are different, and for any i, W i After t-1 symbols and W i+1 The first t-1 symbols of the same, then the set W is called a single-channel absolute code, and the sequence constructed according to W It is called a single-track absolute coding sequence.
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