Error Exponent for Gaussian Channels With Partial Sequential Feedback
Error Exponent for Gaussian Channels With Partial Sequential Feedback
复制标题
具有部分顺序反馈的高斯通道的误差指数
DOI：
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发表时间：
2007
影响因子：
2.5
通讯作者：
M. Honig
中科院分区：
文献类型：
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作者：
Manish Agarwal;Dongning Guo;M. Honig
本文研究了加性白色高斯噪声信道下分组编码的误差指数，其中信道输出符号的一小部分（<formula formulatype="inline"><tex Notation="TeX">$f$</tex></formula>）通过无噪反馈透露给发射机。如果码率超过<formula formulatype="inline"><tex Notation="TeX">$fC$</tex></formula>，其中<formula formulatype="inline"><tex Notation="TeX">$C$</tex></formula>是信道容量，则解码错误的概率不能比块长度的指数衰减更快。然而，如果码率低于<formula formulatype="inline"><tex Notation="TeX">$fC$</tex></formula>，则错误概率可以随着块长度以比指数更快的速度减小，如全反馈（<formula formulatype="inline"><tex Notation="TeX">$f=1$</tex></formula>）。这是通过组合反馈码和前向差错控制码，并在接收机处对它们进行联合解码来实现的。该方案可以获得比速率分裂更高的可靠性，在速率分裂中，反馈和前向码独立地编码单独的源消息。
This paper studies the error exponent of block coding over an additive white Gaussian noise channel where a fraction (<formula formulatype="inline"><tex Notation="TeX">$f$</tex></formula>) of the channel output symbols are revealed to the transmitter through noiseless feedback. If the code rate exceeds <formula formulatype="inline"><tex Notation="TeX">$fC$</tex></formula>, where <formula formulatype="inline"><tex Notation="TeX">$C$</tex> </formula> is the channel capacity, then the probability of decoding error cannot decay faster than exponentially with block length. However, if the code rate is below <formula formulatype="inline"> <tex Notation="TeX">$fC$</tex></formula>, the error probability can decrease faster than exponentially with the block length, as with full feedback (<formula formulatype="inline"><tex Notation="TeX">$f=1$</tex></formula>). This is achieved by combining a feedback code and a forward error control code, and jointly decoding them at the receiver. This scheme can attain higher reliability than rate splitting in which feedback and forward codes independently encode separate source messages.