Variable-length Coding Error Exponents for the AWGN Channel with Noisy Feedback at Zero-Rate

A one-way additive white Gaussian noise (AWGN) channel with active feedback sent over another AWGN feedback channel is considered. Achievable error exponents are presented in the finite message / zero-rate regime for a variable length coding (VLC) scheme. This coding scheme uses a form of round-robi...

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Bibliographic Details
Published in:Proceedings / IEEE International Symposium on Information Theory pp. 2254 - 2258
Main Authors: Palacio-Baus, Kenneth, Devroye, Natasha
Format: Conference Proceeding
Language:English
Published: IEEE 01.07.2019
Subjects:
AWGN channels
Decoding
Encoding
Noise measurement
Receivers
Synchronization
Transmitters
ISSN:2157-8117
Online Access:Get full text
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Summary:A one-way additive white Gaussian noise (AWGN) channel with active feedback sent over another AWGN feedback channel is considered. Achievable error exponents are presented in the finite message / zero-rate regime for a variable length coding (VLC) scheme. This coding scheme uses a form of round-robin scheduling of messages, and a simplex-based feedback code to obtain reliable feedback and remain synchronized, despite the noise in the feedback link. Our results show that this new VLC scheme under an almost-sure power constraint achieves an error exponent similar to an achievable exponent attained using a fixed block length scheme under a much more relaxed expected block power constraint, and is larger than that achieved by schemes without feedback. 1
ISSN:2157-8117
DOI:10.1109/ISIT.2019.8849578