Error exponents of discrete memoryless channels and AWGN channels with noisy feedback

Error exponents of discrete memoryless channels and AWGN channels with noisy feedback
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离散无记忆通道和带噪声反馈的 AWGN 通道的误差指数

DOI:
10.1109/isita.2010.5649359
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发表时间:
2010
期刊:
2010 International Symposium On Information Theory & Its Applications
影响因子:
--
通讯作者:
Hirosuke Yamamoto
Hirosuke Yamamoto
中科院分区:
--
文献类型:
--
作者:
Akari Sato;Hirosuke Yamamoto

文献摘要

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本文将Yamamoto-Itoh方案推广到有噪声反馈的情况,并在离散无记忆信道和加性白色高斯信道下,给出了推广的Yamamoto-Itoh方案的误差指数的下界。此外,研究表明,即使反馈信道有噪声,广义Yamamoto-Itoh方案也能改善误差指数,且随着反馈噪声的减小,广义Yamamoto-Itoh方案的误差指数趋于原Yamamoto-Itoh方案的误差指数.
In this paper, Yamamoto-Itoh scheme, which is a blockwise variable length coding scheme originally proposed to the case of noiseless feedback, is generalized to the case of noisy feedback, and some lower bounds of the error exponent of the generalized Yamamoto-Itoh scheme are derived for discrete memoryless channels and additive white Gaussian channels. Furthermore, it is shown that error exponent can be improved by the generalized Yamamoto-Itoh scheme even if a feedback channel is noisy, and the error exponent of the generalized Yamamoto-Itoh scheme tends to the one of the original Yamamoto-Itoh scheme as the feedback noise becomes small.