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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

Inactive Publication Date: 2015-02-25
XI AN JIAOTONG UNIV
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AI Technical Summary

Benefits of technology

This patented technology uses binary sequences with specific codes that are used instead of traditional methods like analog or digital techniques which require large amounts of space. It allows faster processing speeds while maintaining accuracy compared to existing systems.

Problems solved by technology

The technical problem addressed in this patented text relates to improving the performance and efficiency of linear motion grate sensor systems for precise measurements. Specifically, existing methods involve binary or gray codes with overlapping code symbols between them, requiring longer encoders and higher costs than true ones due to increased processing times required during decode operations. A unique approach called Double Structure Sequence Encoder (DSSE), combined both Random Code Grading Scheme(RSCS)/Determinable Codes (DFC)) and Quantum Dot Interference Distance Scale (QDIM2) offers better accuracy compared to previous designs without sacrificing redundancy.

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  • Single-code-channel absolute encoding and decoding method based on dual periodic sequences
  • Single-code-channel absolute encoding and decoding method based on dual periodic sequences
  • Single-code-channel absolute encoding and decoding method based on dual periodic sequences

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Embodiment Construction

[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.

[0...

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Abstract

The invention discloses a single-code-channel absolute encoding and decoding method based on dual periodic sequences. The code elements of an order m sequence and the code elements of an order m sequence are arranged in a staggered mode to form the single-code-channel absolute code , wherein, < , and are relatively prime, and and are the periods of the two sequences and . According to the single-code-channel absolute encoding and decoding method based on dual periodic sequences, the absolute positions of the code words of the single-code-channel absolute code is related to the code word ordinal number of the two m sequences and , and thus the difficulty for a pseudo random code to search for the absolute position of the code words is effectively overcome. A method combining an analytical calculation method and a table look-up method is adopted for decoding, and the method has the advantages of being small in occupied internal storage and high in decoding speed. The single-code-channel absolute encoding and decoding method is suitable for design and manufacturing of high-speed and high-accuracy linear displacement long gratings.

Description

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Claims

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Application Information

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Owner XI AN JIAOTONG UNIV
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