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A Hybrid Coding Scheme for the Gilbert-Elliott Channel

机译:Gilbert-Elliott信道的混合编码方案

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摘要

In this paper, we study the performance of different graph-based error correcting codes over Gilbert-Elliott channels. We propose a hybrid coding scheme in which each code bit is checked by both a parity check and a Hamming code. A hybrid code can be represented by a code-to-code graph, which can be used to optimize the code. Asymptotic minimum distance properties of the hybrid code are derived and it is shown that the expected minimum distance of the hybrid code increases linearly with respect to the code length. Simulation results show that for a typical Gilbert-Elliott channel, hybrid codes can outperform regular low-density parity check (LDPC) codes by more than an order of magnitude in terms of bit error rate.
机译:在本文中,我们研究了Gilbert-Elliott通道上不同基于图的纠错码的性能。我们提出了一种混合编码方案,其中每个代码位都通过奇偶校验和汉明码进行校验。混合代码可以由代码到代码图表示,该图可用于优化代码。推导了混合码的渐近最小距离特性,结果表明,混合码的预期最小距离相对于码长呈线性增长。仿真结果表明,对于典型的Gilbert-Elliott信道,就误码率而言,混合码的性能可比常规的低密度奇偶校验(LDPC)码高出一个数量级。

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