On the reliability function for a BSC with noisy feedback
On the reliability function for a BSC with noisy feedback
复制标题
带有噪声反馈的平衡计分卡的可靠性函数
DOI：
10.1134/s0032946010020018
复制
发表时间：
2010
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
信息传输采用二进制对称信道。还有另一个有噪声的二进制对称信道（反馈信道），发射机通过反馈信道无延迟地观察前向信道的所有输出。考虑指数数量的消息的传输（即，传输速率为正）。研究了这种信道组合可实现的译码误差指数。结果表明，如果反馈信道的交叉概率小于某一正值，则可实现的误差指数优于无反馈信道的译码误差指数。
A binary symmetric channel is used for information transmission. There is also another noisy binary symmetric channel (feedback channel), and the transmitter observes without delay all outputs of the forward channel via the feedback channel. Transmission of an exponential number of messages is considered (i.e., the transmission rate is positive). The achievable decoding error exponent for this combination of channels is studied. It is shown that if the crossover probability of the feedback channel is less than a certain positive value, then the achievable error exponent is better than the decoding error exponent of a channel without feedback.