On the correlation between polarized BECs
On the correlation between polarized BECs
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极化 BEC 之间的相关性
DOI：
10.1109/isit.2013.6620333
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
E. Telatar
中科院分区：
文献类型：
--
作者：
Mani Bastani Parizi;E. Telatar
我们考虑了将Arıkan的极变换n倍应用于二进制擦除信道（BEC）合成的2n个信道。合成信道本身就是BECs，并且我们表明，对于几乎所有这些信道，它们的擦除事件之间的成对相关性都是渐进的：相关系数比n中的任何指数消失得更快。这种快速的相关性衰减使我们得出结论，极性码的块错误概率的联合界非常紧密。
We consider the 2n channels synthesized by the n-fold application of Arıkan's polar transform to a binary erasure channel (BEC). The synthetic channels are BECs themselves, and we show that, asymptotically for almost all these channels, the pairwise correlations between their erasure events are extremely small: the correlation coefficients vanish faster than any exponential in n. Such a fast decay of correlations allows us to conclude that the union bound on the block error probability of polar codes is very tight.