On the universality of Burnashev's error exponent
On the universality of Burnashev's error exponent
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论伯纳舍夫误差指数的普遍性
DOI：
10.1109/tit.2005.850229
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发表时间：
2005
影响因子：
2.5
通讯作者：
E. Telatar
中科院分区：
文献类型：
--
作者：
A. Tchamkerten;E. Telatar
我们考虑通信的时不变离散无记忆信道（DMC）与无噪声和瞬时反馈。我们假设发射机和接收机不知道底层信道，但是，它们知道它属于某些特定的DMC家族。最近的研究结果表明，对于某些家庭（例如，二进制对称信道和Z信道），存在普遍实现低于容量的任何速率同时达到Burnashev误差指数的编码方案。我们表明，这是不是在一般情况下，通过推导出一个普遍实现的误差指数的上限。
We consider communication over a time-invariant discrete memoryless channel (DMC) with noiseless and instantaneous feedback. We assume that the transmitter and the receiver are not aware of the underlying channel, however, they know that it belongs to some specific family of DMCs. Recent results show that for certain families (e.g., binary-symmetric channels and Z channels) there exist coding schemes that universally achieve any rate below capacity while attaining Burnashev's error exponent. We show that this is not the case in general by deriving an upper bound to the universally achievable error exponent.