The capacity of the Gaussian channel with feedback
The capacity of the Gaussian channel with feedback
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带反馈的高斯信道的容量
DOI：
10.1002/j.1538-7305.1970.tb04286.x
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发表时间：
1970
影响因子：
--
通讯作者：
P. Ebert
中科院分区：
文献类型：
--
作者：
P. Ebert
在本文中，我们提供了一个严格的证明，反馈不能增加信道的容量与加性有色高斯噪声的两个以上的因素。我们还给出了一个更严格的约束，表明容量的任何增加都小于信号和噪声之间的归一化相关性。它进一步表明，高斯信号和线性反馈处理将实现容量。实际的含义是：（i）反馈应该被用来简化编码和解码，因为在增加容量的方式中几乎没有得到什么好处，以及（ii）使用线性反馈的各种建议方案正在做正确的事情。
In this paper we provide a rigorous proof that feedback cannot increase the capacity of the channel with additive colored gaussian noise by more than a factor of two. We also give a tighter bound showing that any increase in capacity is less than the normalized correlation between the signal and noise. It is further shown that gaussian signals and linear feedback processing will achieve capacity. The practical implications are that (i) feedback should be used to simplify encoding and decoding since there is little to be gained in the way of increased capacity and (ii) the various proposed schemes which use linear feedback are doing the correct thing.