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首页> 外文期刊>IEEE Transactions on Information Theory >Coding for the optical channel: the ghost-pulse constraint
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Coding for the optical channel: the ghost-pulse constraint

机译：光信道编码：重影脉冲约束

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摘要

We consider a number of constrained coding techniques that can be used to mitigate a nonlinear effect in the optical fiber channel that causes the formation of spurious pulses, called "ghost pulses". Specifically, if b/sub 1/b/sub 2/...b/sub n/ is a sequence of bits sent across an optical channel, such that b/sub k/=b/sub l/=b/sub m/=1 for some k,l,m (not necessarily all distinct) but b/sub k+l-m/=0, then the ghost-pulse effect causes b/sub k+l-m/ to change to 1, thereby creating an error. Such errors do not occur if the sequence of bits satisfies the following constraint: for all integers k,l,m such that b/sub k/=b/sub l/=b/sub m/=1, we have b/sub k+l-m/=1. We call this the binary ghost-pulse (BGP) constraint. We will show, however, that the BGP constraint has zero capacity, implying that sequences satisfying this constraint cannot carry much information. Consequently, we consider a more sophisticated coding scheme, which uses ternary sequences satisfying a certain ternary ghost-pulse (TGP) constraint. We further relax these constraints by ignoring interactions between symbols that are more than a certain distance t apart in the transmitted sequence. Analysis of the resulting BGP(t) and TGP(t) constraints shows that these have nonzero capacities, and furthermore, the TGP(t)-constrained codes can achieve rates that are significantly higher than those for the corresponding BGP(t) codes. We also discuss the design of encoders and decoders for coding into the BGP, BGP(t), and TGP(t) constraints.
机译：我们考虑了许多约束编码技术，这些技术可用于减轻光纤通道中的非线性影响，这种非线性影响会导致形成伪脉冲（称为“虚假脉冲”）。具体来说，如果b / sub 1 / b / sub 2 / ... b / sub n /是通过光信道发送的比特序列，则b / sub k / = b / sub l / = b / sub m / = 1，对于某些k，l，m（不一定全然不同），但b / sub k + lm / = 0，则重影脉冲效应会使b / sub k + lm /变为1，从而产生错误。如果位序列满足以下约束，则不会发生此类错误：对于所有整数k，l，m，使得b / sub k / = b / sub l / = b / sub m / = 1，我们有b / sub k + lm / = 1。我们称其为二进制虚假脉冲（BGP）约束。但是，我们将显示BGP约束的容量为零，这意味着满足此约束的序列不能携带太多信息。因此，我们考虑一种更复杂的编码方案，该方案使用满足一定三元重影脉冲（TGP）约束的三元序列。通过忽略在发射序列中相距超过一定距离t的符号之间的相互作用，我们进一步放宽了这些约束。对所产生的BGP（t）和TGP（t）约束的分析表明，它们具有非零容量，此外，受TGP（t）约束的代码所能达到的速率明显高于对应的BGP（t）代码的速率。我们还将讨论用于编码到BGP，BGP（t）和TGP（t）约束中的编码器和解码器的设计。

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