Channel combining and splitting for cutoff rate improvement
Channel combining and splitting for cutoff rate improvement
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DOI：
10.1109/isit.2005.1523420
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发表时间：
2005-08
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通讯作者：
E. Arıkan
中科院分区：
文献类型：
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作者：
E. Arıkan
离散无记忆信道（DMC）W的截止速率R 0（W）通常与信道容量C（W）一起用作品质因数。给定由两个可能相关的子信道W1、W2组成的信道W，容量函数总是满足C（W1）+ C（W2）≤ C（W），而存在R 0（W1）+R 0（W2）> R 0（W）的示例。Massey在他对模拟为M 'ary擦除信道的光调制系统的研究中注意到了截止速率可以通过信道分裂“产生”的事实。本文论证了通过信道合并和信道分裂的方法，对于一般的DMC，可以获得类似的截止速率增益。文中还讨论了该方法与Pinsker早期关于提高截止率的工作以及与Imai-Hirakawa多电平编码的关系
The cutoff rate R0(W) of a discrete memoryless channel (DMC) W is often used as a figure of merit, alongside the channel capacity C(W). Given a channel W consisting of two possibly correlated subchannels W1, W2, the capacity function always satisfies C(W1) + C(W2) les C(W), while there are examples for which R0(W1) + R0(W 2) > R0(W). This fact that the cutoff rate can be "created" by channel splitting was noticed by Massey in his study of an optical modulation system modeled as a M'ary erasure channel. This paper demonstrates that similar gains in cutoff rate can be achieved for general DMC's by methods of channel combining and splitting. Relation of the proposed method to Pinsker's early work on cutoff rate improvement and to Imai-Hirakawa multi-level coding are also discussed