On the reliability function for a noisy feedback Gaussian channel: Zero rate
On the reliability function for a noisy feedback Gaussian channel: Zero rate
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关于噪声反馈高斯信道的可靠性函数：零率
DOI：
10.1134/s0032946012030015
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发表时间：
2012
影响因子：
1.2
通讯作者：
Hirosuke Yamamoto
中科院分区：
文献类型：
--
作者：
M. Burnashev;Hirosuke Yamamoto
采用具有独立加性高斯噪声的离散时间信道进行信息传输。还存在一个具有独立加性高斯噪声的反馈信道，发射机通过该反馈信道无延迟地观测前向信道的所有输出。考虑了非指数数目的消息的传输(即，传输速率为零)，并且研究了这种信道组合的可实现的译码错误指数。结果表明，对于反馈信道中的任意有限噪声，其可达误差指数均优于无反馈信道的类似误差指数。本文提出的传输/译码方法加强了作者先前用于BSC的方法。特别是，对于小的反馈噪声，它提供了23.6%的增益(而不是早先获得的14.3%的BSC)。
A discrete-time channel with independent additive Gaussian noise is used for information transmission. There is also a feedback channel with independent additive Gaussian noise, and the transmitter observes all outputs of the forward channel without delay via this feedback channel. Transmission of a nonexponential number of messages is considered (i.e., the transmission rate is zero), and the achievable decoding error exponent for such a combination of channels is investigated. It is shown that for any finite noise in the feedback channel the achievable error exponent is better than the similar error exponent for a no-feedback channel. The transmission/decoding method developed in the paper strengthens the method earlier used by the authors for a BSC. In particular, for small feedback noise, it provides a gain of 23.6% (instead of 14.3% obtained earlier for a BSC).