Thomson Licensing

Xiao-Ming Chen

Meinolf Blawat

Klaus Gaedke

Peter Georg Baum

Ulrich Gries

Oliver Theis

Michael Arnold

Ingo Huetter

Friedrich Timmermann

Marco Georgi

A method () and an apparatus () for encoding information in codeword sequences are described which help avoid synthesizing reverse complementary nucleotide sequences, making them suitable for synthesizing nucleic acid strands. Multiple codes are provided (), consisting of a same amount of corresponding code words. No word belongs to more than one code. Each code could completely encode all information units which are encoded using code word sequences generated from the codes. Generating () a sequence comprises: selecting (), from code words of a code, a next code word to be appended to the sequence; appending () the next code word if a concatenation of the sequence and the next code word does not contain a reverse complementary of any code symbol sequence that at least partly contains the next code word; and otherwise () selecting a corresponding next code word from a different code and repeating the appending.

Method and apparatus for encoding information units in code word sequences avoiding reverse complementarity

A method and an arrangement for cycle slip detection for timing recovery of a received analog signal including asynchronously sampled digital data are implemented with a timing recovery control loop using a technique known as interpolated timing recovery and improved cycle slip detection as well as improved cycle slip correction based on said cycle slip detection. The method includes using an output signal of the loop filter in the control loop for timing recovery, generating averaged timing error values from said filtered timing error signal and accumulating changes of the averaged timing error values in adjacent blocks of samples which exceed a first threshold. Accumulated averaged timing error changes of adjacent blocks which exceed a second threshold are then declared as cycle slip and the number of cycle slips is determined by a third threshold being a tolerance threshold.

Cycle slip detection for timing recovery

For algebraic single symbol error correction and detection, a method is proposed which achieves correcting single symbol errors at unknown positions within codewords, identifying cases where multiple symbols within a codeword are uncorrectably corrupted, and identifying cases where a single symbol within a codeword is uncorrectably corrupted. The method comprises the steps of calculating a syndrome of a received word, splitting the syndrome into two parts, checking 3 integer weight quantities calculated from the two syndrome parts, converting the syndrome into a vector of integer valued 'orthogonal bit error weights' associated to the received bits, and toggling those bits of the received word, where the associated 'orthogonal bit error weight' is in the upper half of its possible value range.

Method for error correction and error detection of binary data

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Hannover, Germany

Xiao-Ming Chen