Cyclic position codes

Error detection/correction and fault detection/recovery – Pulse or data error handling – Digital data error correction

Reexamination Certificate

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C714S781000

Reexamination Certificate

active

07082562

ABSTRACT:
A method of determining an offset, modulo n, of at least one point with respect to a sequence of at least 2n symbols, the sequence consisting of a repeating codeword of a cyclic position code, the cyclic position code having length n and minimum distance dmin, the method including: obtaining, from the sequence and at a position corresponding to the at least one point, a subsequence of length w symbols, where w≧n−dmin+1; mapping the subsequence to a codeword of the cyclic position code most likely to match the subsequence in the presence of symbol errors in the subsequence; and determining an offset, in the sequence, of the codeword thus obtained, and thereby determining the offset of the at least one point.

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