TY - GEN
T1 - The Gaussian channel with noisy feedback
T2 - 2014 52nd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2014
AU - Ben-Yishai, Assaf
AU - Shayevitz, Ofer
N1 - Publisher Copyright: © 2014 IEEE.
PY - 2014/1/30
Y1 - 2014/1/30
N2 - Consider a pair of terminals connected by two independent additive white Gaussian noise channels, and limited by individual power constraints. The first terminal would like to reliably send information to the second terminal, within a given error probability. We construct an explicit interactive scheme consisting of only (non-linear) scalar operations, by endowing the Schalkwijk-Kailath noiseless feedback scheme with modulo arithmetic. Our scheme achieves a communication rate close to the Shannon limit, in a small number of rounds. For example, for an error probability of 10-6, if the Signal to Noise Ratio (SNR) of the feedback channel exceeds the SNR of the forward channel by 20dB, our scheme operates 0.8dB from the Shannon limit with only 19 rounds of interaction. In comparison, attaining the same performance using state of the art Forward Error Correction (FEC) codes requires two orders of magnitude increase in delay and complexity. On the other extreme, a minimal delay uncoded system with the same error probability is bounded away by 9dB from the Shannon limit.
AB - Consider a pair of terminals connected by two independent additive white Gaussian noise channels, and limited by individual power constraints. The first terminal would like to reliably send information to the second terminal, within a given error probability. We construct an explicit interactive scheme consisting of only (non-linear) scalar operations, by endowing the Schalkwijk-Kailath noiseless feedback scheme with modulo arithmetic. Our scheme achieves a communication rate close to the Shannon limit, in a small number of rounds. For example, for an error probability of 10-6, if the Signal to Noise Ratio (SNR) of the feedback channel exceeds the SNR of the forward channel by 20dB, our scheme operates 0.8dB from the Shannon limit with only 19 rounds of interaction. In comparison, attaining the same performance using state of the art Forward Error Correction (FEC) codes requires two orders of magnitude increase in delay and complexity. On the other extreme, a minimal delay uncoded system with the same error probability is bounded away by 9dB from the Shannon limit.
UR - http://www.scopus.com/inward/record.url?scp=84938904931&partnerID=8YFLogxK
U2 - 10.1109/ALLERTON.2014.7028450
DO - 10.1109/ALLERTON.2014.7028450
M3 - منشور من مؤتمر
T3 - 2014 52nd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2014
SP - 152
EP - 159
BT - 2014 52nd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2014
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 30 September 2014 through 3 October 2014
ER -