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Random coding for additive Gaussian channels with feedback

机译：带反馈的加性高斯信道的随机编码

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摘要

A random coding strategy for discrete-time additive Gaussian noise channels with feedback is analyzed. It has long been known that feedback may increase the capacity of such channels as long as the additive noise process is not white. Here, it is proved that a strictly positive gain is always achieved and that, as the signal power goes to zero, the ratio of feedback capacity to capacity without feedback may be strictly greater than one if the noise spectrum has a null. This is not the case when the noise spectrum is bounded away from zero. It is also demonstrated that random coding, where the codewords are chosen from an ensemble of stationary Gaussian sequences, does not achieve capacity.
机译：分析了具有反馈的离散时间加性高斯噪声信道的随机编码策略。早就知道，只要加性噪声过程不是白色的，反馈就可以增加这种通道的容量。在此证明了，始终可以获得严格的正增益，并且当信号功率变为零时，如果噪声频谱为零，则反馈容量与没有反馈的容量之比可能严格大于1。当噪声频谱限制为零时，情况并非如此。还证明了随机编码不能实现容量，在随机编码中，代码字是从固定的高斯序列集合中选择的。

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