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Asymptotic expansions for the AWGN channel with feedback under a peak power constraint | IEEE Conference Publication | IEEE Xplore

Asymptotic expansions for the AWGN channel with feedback under a peak power constraint


Abstract:

This paper investigates the asymptotic expansion for the size of block codes defined for the additive white Gaussian noise (AWGN) channel with feedback under the followin...Show More

Abstract:

This paper investigates the asymptotic expansion for the size of block codes defined for the additive white Gaussian noise (AWGN) channel with feedback under the following setting: A peak power constraint is imposed on every transmitted codeword (i.e., maximum per-codeword power constraint), and the average error probability of decoding the transmitted message is non-vanishing as the blocklength increases. It is well-known that the presence of feedback does not increase the first-order asymptotics (i.e., capacity) in the asymptotic expansion for the AWGN channel. The main contribution of this paper is proving an upper bound on the asymptotic expansion for the AWGN channel with feedback. Combined with existing achievability results for the AWGN channel, our result implies that the presence of feedback does not improve the second- and third-order asymptotics.
Date of Conference: 14-19 June 2015
Date Added to IEEE Xplore: 01 October 2015
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Conference Location: Hong Kong, China

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