TY - GEN
T1 - Asymmetric compute-and-forward
AU - Ntranos, Vasilis
AU - Cadambe, Viveck R.
AU - Nazer, Bobak
AU - Caire, Giuseppe
N1 - Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2013
Y1 - 2013
N2 - This paper generalizes the compute-and-forward framework to allow for unequal (or asymmetric) power allocation across transmitters. Each transmitter's codebook is formed using a fine lattice that is chosen to ensure decodability as well as a coarse lattice that is chosen to enforce the power constraint. The employed lattices are drawn from a nested lattice chain, which makes it possible for the receivers to decode integerlinear combinations of the transmitted codewords. Like the original compute-and-forward framework, this scheme has a natural interpretation in terms of sending linear combinations of messages that are vectors over a finite field. Interestingly, each transmitter's power constraint and noise tolerance can be viewed in terms of restrictions on the available 'signal levels'. That is, transmitters with less power must send zeros along higher order levels and transmitters that need to tolerate more noise must send zeros along lower order levels.
AB - This paper generalizes the compute-and-forward framework to allow for unequal (or asymmetric) power allocation across transmitters. Each transmitter's codebook is formed using a fine lattice that is chosen to ensure decodability as well as a coarse lattice that is chosen to enforce the power constraint. The employed lattices are drawn from a nested lattice chain, which makes it possible for the receivers to decode integerlinear combinations of the transmitted codewords. Like the original compute-and-forward framework, this scheme has a natural interpretation in terms of sending linear combinations of messages that are vectors over a finite field. Interestingly, each transmitter's power constraint and noise tolerance can be viewed in terms of restrictions on the available 'signal levels'. That is, transmitters with less power must send zeros along higher order levels and transmitters that need to tolerate more noise must send zeros along lower order levels.
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U2 - 10.1109/Allerton.2013.6736658
DO - 10.1109/Allerton.2013.6736658
M3 - Conference contribution
AN - SCOPUS:84897678099
SN - 9781479934096
T3 - 2013 51st Annual Allerton Conference on Communication, Control, and Computing, Allerton 2013
SP - 1174
EP - 1181
BT - 2013 51st Annual Allerton Conference on Communication, Control, and Computing, Allerton 2013
PB - IEEE Computer Society
T2 - 51st Annual Allerton Conference on Communication, Control, and Computing, Allerton 2013
Y2 - 2 October 2013 through 4 October 2013
ER -