摘要:
A probability is determined, including by obtaining a set of probability ratios, wherein each probability ratio in the set is a ratio of a first probability to a second probability. A probability P(Em=z) that an mth error symbol Em has a level of z is determining based at least in part on one or more dominant error patterns.
摘要:
In general, the disclosure describes techniques for detecting and correcting single or multiple occurrences of data error patterns. This disclosure discusses the generation and application of high-rate error-pattern-correcting codes to correct single instances of targeted error patterns in codewords, and to further correct a significant portion of multiple instances of targeted error patterns, with the least redundancy. In accordance with the techniques, a lowest-degree generator polynomial may be constructed that targets a set of dominant error patterns that make up a very large percentage of all observed occurrences of errors. The lowest-degree generator polynomial produces distinct, non-overlapping syndrome sets for the target error patterns. The lowest-degree generator polynomial may be constructed such that no two error patterns within the list of dominant error patterns map to the same syndrome set, and the single occurrence and starting position of any of the target error patterns can be successfully identified.
摘要:
A method of analyzing soft symbol information in a communication system that transmits multiple independent data streams is disclosed. The method includes setting a trellis structure using a fixed spatial delay constraint, calculating a joint probability between a targeted symbol and a set of observation samples either recursively or nonrecursively, and approximating a likelihood function for a given branch by a single probability density function with mean and variance computed based on available soft information on past symbols relative to the branch that is being currently considered.
摘要:
In general, the disclosure describes techniques for detecting and correcting single or multiple occurrences of data error patterns. This disclosure discusses the generation and application of high-rate error-pattern-correcting codes to correct single instances of targeted error patterns in codewords, and to further correct a significant portion of multiple instances of targeted error patterns, with the least redundancy. In accordance with the techniques, a lowest-degree generator polynomial may be constructed that targets a set of dominant error patterns that make up a very large percentage of all observed occurrences of errors. The lowest-degree generator polynomial produces distinct, non-overlapping syndrome sets for the target error patterns. The lowest-degree generator polynomial may be constructed such that no two error patterns within the list of dominant error patterns map to the same syndrome set, and the single occurrence and starting position of any of the target error patterns can be successfully identified.
摘要:
In a method of detecting an error pattern in a codeword transmitted across a noisy communication channel, a codeword is detected. A syndrome is then generated by applying a generator polynomial to the codeword. The generator polynomial is adapted to produce a distinct syndrome set for each of “L” (L>1) different error patterns potentially introduced in the codeword during transmission across the communication channel. A type of an error pattern within the codeword is detected based on the syndrome or a shifted version of the syndrome, and then a start position of the error pattern within the codeword.
摘要:
A method of constructing an effective generator polynomial for error correction by which a unique set of syndromes for each error event is produced is provided. The method includes preparing a set of dominant error events from the intersymbol interference characteristics of media; and generating a codeword from the data using a non-primitive generator polynomial that produces a unique syndrome set which can completely specify each dominant error event.
摘要:
Provided are a method of decoding an LDPC code for producing several different decoders using a parity-check matrix of the LDPC code, and an LDPC code system including the same. The system includes: an LDPC encoder outputting an LDPC codeword through a channel; a first LDPC decoder decoding the LDPC codeword received through the channel, and when the decoding has failed in a second LDPC decoder, decoding the LDPC codeword according to original parity check matrix of the LDPC codeword, using soft information newly generated after the decoding is ended in the second LDPC decoder; and the second LDPC decoder, when the decoding has failed in the first LDPC decoder, receiving the soft information on each bit from the first LDPC, and decoding the LDPC codeword according to a new parity-check matrix produced from the parity-check matrix of the LDPC codeword using the received soft information on each bit.
摘要:
A signal is encoded by receiving input data. A first portion of the input data is encoded to obtain a first set of encoded data. At least some part of the input data is processed to determine which one of a plurality of subsets the input data corresponds to. In the event the input data corresponds to a first subset having a greater signal margin (SM) than a second subset, the first set of encoded data and a second portion of the input data are output. In the event the input data corresponds to the second subset, the second portion of the input data is encoded to obtain a second set of encoded data and the first set of encoded data and the second set of encoded data are output.
摘要:
A signal is encoded by receiving input data. A first portion of the input data is encoded to obtain a first set of encoded data. At least some part of the input data is processed to determine which one of a plurality of subsets the input data corresponds to. In the event the input data corresponds to a first subset having a greater signal margin (SM) than a second subset, the first set of encoded data and a second portion of the input data are output. In the event the input data corresponds to the second subset, the second portion of the input data is encoded to obtain a second set of encoded data and the first set of encoded data and the second set of encoded data are output.
摘要:
A method of constructing an effective generator polynomial for error correction by which a unique set of syndromes for each error event is produced is provided. The method includes preparing a set of dominant error events from the intersymbol interference characteristics of media; and generating a codeword from the data using a non-primitive generator polynomial that produces a unique syndrome set which completely specifies each dominant error event.