TY - GEN
T1 - The Arbitrarily Varying Gaussian Relay Channel with Sender Frequency Division
AU - Pereg, Uzi
AU - Steinberg, Yossef
N1 - Publisher Copyright: © 2018 IEEE.
PY - 2019/2/5
Y1 - 2019/2/5
N2 - We consider the arbitrarily varying Gaussian relay channel with sender frequency division. We determine the random code capacity, and establish lower and upper bounds on the deterministic code capacity. It is observed that when the channel input is subject to a low power limit, the deterministic code capacity may be strictly lower than the random code capacity, and the gap vanishes as the input becomes less constrained. A second model addressed in this paper is the general case of primitive arbitrarily varying relay channels. We develop lower and upper bounds on the random code capacity, and give conditions under which the deterministic code capacity coincides with the random code capacity, and conditions under which it is lower. Then, we establish the capacity of the primitive counterpart of the arbitrarily varying Gaussian relay channel with sender frequency division. In this case, the deterministic and random code capacities are the same.
AB - We consider the arbitrarily varying Gaussian relay channel with sender frequency division. We determine the random code capacity, and establish lower and upper bounds on the deterministic code capacity. It is observed that when the channel input is subject to a low power limit, the deterministic code capacity may be strictly lower than the random code capacity, and the gap vanishes as the input becomes less constrained. A second model addressed in this paper is the general case of primitive arbitrarily varying relay channels. We develop lower and upper bounds on the random code capacity, and give conditions under which the deterministic code capacity coincides with the random code capacity, and conditions under which it is lower. Then, we establish the capacity of the primitive counterpart of the arbitrarily varying Gaussian relay channel with sender frequency division. In this case, the deterministic and random code capacities are the same.
KW - Arbitrarily varying channel
KW - Gaussian relay channel
KW - Markov block code
KW - deterministic code
KW - orthogonal sender components
KW - partial decode-forward
KW - random code
KW - sender frequency division
UR - http://www.scopus.com/inward/record.url?scp=85062884610&partnerID=8YFLogxK
U2 - 10.1109/ALLERTON.2018.8636093
DO - 10.1109/ALLERTON.2018.8636093
M3 - منشور من مؤتمر
T3 - 2018 56th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2018
SP - 1097
EP - 1103
BT - 2018 56th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2018
T2 - 56th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2018
Y2 - 2 October 2018 through 5 October 2018
ER -