Noisy feedback improves the BSC reliability function
Noisy feedback improves the BSC reliability function
复制标题
噪声反馈提高了 BSC 可靠性功能
DOI：
10.1109/isit.2009.5205852
复制
发表时间：
2009
期刊：
影响因子：
--
通讯作者：
M. Burnashev
中科院分区：
文献类型：
--
作者：
Hirosuke Yamamoto;M. Burnashev
对于信息传输，使用二进制对称信道。还存在另一个有噪声的二进制对称信道（反馈信道），并且发射机经由该反馈信道无延迟地观察前向信道的所有输出。整个传输时间是固定的。考虑指数数量的消息的传输（即传输速率为正）。可实现的解码错误指数，这样的组合的通道进行了研究。研究表明，如果反馈信道的交叉概率小于某个正值，则可实现的误差指数优于无反馈信道的误差指数的最佳已知下界。
For the information transmission a binary symmetric channel is used. There is also another noisy binary symmetric channel (feedback channel), and the transmitter observes without delay all the outputs of the forward channel via that feedback channel. The overall transmission time is fixed. The transmission of a exponential number of messages (i.e. the transmission rate is positive) is considered. The achievable decoding error exponent for such a combination of channels is investigated. 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 best known lower bound for the error exponent of the no-feedback channel.