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Genetic Optimization of LDPC Codes to Improve the Correction of Burst Errors

机译:LDPC码的遗传优化,以改善突发错误的校正

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Error correction plays a crucial role when transmitting data from the source to the destination through a noisy channel. It has found many applications in television broadcasting services, data transmission in radiation harsh environment (e. g. space probes or physical experiments) or memory storages influenced by Single Event Effects (SEE). Low Density Parity Check (LDPC) codes provide an important technique to correct these errors.The parameters of error correction depend both on the decoding algorithm and on the LDPC code given by the parity-check matrix. Therefore, a particular design of the paritycheck matrix is necessary. Moreover, with the development of high performance computing, the application of genetic optimization algorithms to design the parity-check matrices has been enabled.In this article, we present the application of the genetic optimization algorithm to produce error correcting codes with special properties, especially the burst types of errors. The results show the bounds of correction capabilities for various code lengths and various redundancies of LDPC codes. This is particularly useful when designing systems under the influence of noise combined with the application of the error correction codes.
机译:通过噪声通道将数据从源传输到目的地时,纠错起着至关重要的作用。在电视广播服务,在恶劣的辐射环境下的数据传输(例如,太空探测器或物理实验)或受单事件效应(SEE)影响的存储器中已经发现了许多应用。低密度奇偶校验(LDPC)码提供了纠正这些错误的重要技术。纠错参数既取决于解码算法,也取决于奇偶校验矩阵给出的LDPC码。因此,奇偶校验矩阵的特定设计是必要的。此外,随着高性能计算的发展,遗传优化算法已经可以用于奇偶校验矩阵的设计。本文介绍了遗传优化算法在产生具有特殊性质的纠错码方面的应用。错误的突发类型。结果显示了针对各种代码长度和LDPC代码的各种冗余的校正能力的范围。在设计受噪声影响的系统并结合使用纠错码时,这特别有用。

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