Does the Performance of LDPC Codes Depend on the Channel?
Does the Performance of LDPC Codes Depend on the Channel?
复制标题
DOI：
10.1109/tcomm.2006.885042
复制
发表时间：
2006-12
影响因子：
8.3
通讯作者：
M. Franceschini;G. Ferrari;R. Raheli
中科院分区：
文献类型：
--
作者：
M. Franceschini;G. Ferrari;R. Raheli
在这封信中，我们讨论了低密度奇偶校验(LDPC)码在无记忆信道上的性能。利用最近提出的基于外部信息传递(EXIT)图的分析技术，我们解释了一个已知事实，即LDPC码集的误比特率(BER)性能几乎不依赖于特定的无记忆信道。这一结果已经在对称通道的文献中部分观察到，并且在这里被扩展到非对称通道。我们推测并证明了LDPC码集的性能主要且仅取决于信道输入和输出之间的互信息(MI)。作为对这一猜想的验证，我们比较了几种不同码率的LDPC码在五种典型的无记忆(对称和非对称)信道上的性能，得到了与基于退出图的预测非常一致的结果
In this letter, we discuss the performance of low-density parity-check (LDPC) codes on memoryless channels. Using a recently proposed analysis technique based on extrinsic information transfer (EXIT) charts, we present an interpretation of the known fact that the bit-error rate (BER) performance of an ensemble of LDPC codes shows little dependence on the specific memoryless channel. This result has been partially observed in the literature for symmetric channels and is here extended to asymmetric channels. We conjecture and demonstrate that the performance of an ensemble of LDPC codes depends primarily and solely on the mutual information (MI) between the input and the output of the channel. As a validation of this conjecture, we compare the performance of a few LDPC codes with various rates for five representative memoryless (both symmetric and asymmetric) channels, obtaining results in excellent agreement with the EXIT chart-based prediction