On the zero-rate error exponent for a BSC with noisy feedback

On the zero-rate error exponent for a BSC with noisy feedback For 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 outputs of the forward channel via the feedback channel. Transmission of non-exponentially many messages is considered (i.e., the transmission rate is zero). The achievable decoding error exponent for this 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 similar error exponent of the no-feedback channel. The described transmission method and the corresponding lower bound for the error exponent can be improved, as well as extended to positive transmission rates. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

On the zero-rate error exponent for a BSC with noisy feedback

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Publisher
Springer Journals
Copyright
Copyright © 2008 by Pleiades Publishing, Ltd.
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1134/S0032946008030034
Publisher site
See Article on Publisher Site

Abstract

For 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 outputs of the forward channel via the feedback channel. Transmission of non-exponentially many messages is considered (i.e., the transmission rate is zero). The achievable decoding error exponent for this 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 similar error exponent of the no-feedback channel. The described transmission method and the corresponding lower bound for the error exponent can be improved, as well as extended to positive transmission rates.

Journal

Problems of Information TransmissionSpringer Journals

Published: Oct 18, 2008

References

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