用于提高截止速率的信道合并和分裂
Channel combining and splitting for cutoff rate improvement
摘要：
离散无记忆通道（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$W_1$、$W_2$组成的信道$W$，容量函数总是满足$C(W_1)+C(W_2) \le C(W)$，而存在$R_0(W_1)+R_0(W_2) > R_0(W)$的例子。Massey在他对模拟为$M$元擦除信道的光调制系统的研究中注意到了可以通过信道分裂“产生”截止速率这一事实。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。Pinsker的早期工作的截止率的改善和Imai-Hirakawa多层次编码的关系，所提出的方法进行了讨论。
英文摘要：
The cutoff rate $R_0(W)$ 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 $W_1$, $W_2$, the capacity function always satisfies $C(W_1)+C(W_2) \le C(W)$, while there are examples for which $R_0(W_1)+R_0(W_2) > R_0(W)$. This fact that 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.
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