TY - GEN
T1 - On the secure degrees of freedom of 2 x 2 x 2 multi-hop network with untrusted relays
AU - Seif, Mohamed
AU - Tandon, Ravi
AU - Li, Ming
N1 - Funding Information:
The work of M. Seif and R. Tandon was supported by the U.S. NSF through grants CCF-1559758 and CNS-1715947. The work of M. Seif and M. Li was supported in part by the U.S. NSF grant CNS-1564477, and ONR YIP grant N00014-16-1-2650.
Publisher Copyright:
© 2018 IEEE.
PY - 2018/7/27
Y1 - 2018/7/27
N2 - We study the impact of untrusted relays on the degrees of freedom of multi-antenna multi-hop networks. In par- ticular, we consider the two user two-hop interference network, where two source nodes want to send independent messages securely to their designated receivers through the help of two untrusted relays. The relays are considered untrusted in terms of eavesdropping the messages sent by the sources. Moreover, we also assume that the messages are confidential, i.e., each receiver must not be able to decode the information meant for the other receiver. We assume that all the terminals (i.e., sources, relays, and the receivers) are equipped with multiple number of antennas. The goal of this work is to understand the secure degrees of freedom (SDoF) region of this multi-hop MIMO network under the two constraints of a) untrusted relays; and b) confidential messages. To cope with the untrusted nature of relays, we present achievable schemes in which both sources mix their information symbols with artificial noises so that the signals at each relay are completely immersed in the artificial noises space. However, this mixing must be done carefully, so as to ensure the feasibility of interference neutralization in the second hop to allow successful decoding at the respective destination. To this end, we devise transmission schemes based on interference alignment and interference neutralization techniques. The main contributions of this work are as follows: a) we present an upper bound on the SDoF region as a function of the number of antennas at the terminals, b) we present two achievable schemes, the first scheme is based on secure interference alignment and neutralization and is shown to be information theoretically optimal when all terminals have the same number of antennas; and a second scheme, based on secure sub-space alignment and neutralization, which is shown to be optimal for another specific antenna configuration. To the best of our knowledge, these are the first results on multi-hop MIMO relay networks with untrusted relays and confidential messages.
AB - We study the impact of untrusted relays on the degrees of freedom of multi-antenna multi-hop networks. In par- ticular, we consider the two user two-hop interference network, where two source nodes want to send independent messages securely to their designated receivers through the help of two untrusted relays. The relays are considered untrusted in terms of eavesdropping the messages sent by the sources. Moreover, we also assume that the messages are confidential, i.e., each receiver must not be able to decode the information meant for the other receiver. We assume that all the terminals (i.e., sources, relays, and the receivers) are equipped with multiple number of antennas. The goal of this work is to understand the secure degrees of freedom (SDoF) region of this multi-hop MIMO network under the two constraints of a) untrusted relays; and b) confidential messages. To cope with the untrusted nature of relays, we present achievable schemes in which both sources mix their information symbols with artificial noises so that the signals at each relay are completely immersed in the artificial noises space. However, this mixing must be done carefully, so as to ensure the feasibility of interference neutralization in the second hop to allow successful decoding at the respective destination. To this end, we devise transmission schemes based on interference alignment and interference neutralization techniques. The main contributions of this work are as follows: a) we present an upper bound on the SDoF region as a function of the number of antennas at the terminals, b) we present two achievable schemes, the first scheme is based on secure interference alignment and neutralization and is shown to be information theoretically optimal when all terminals have the same number of antennas; and a second scheme, based on secure sub-space alignment and neutralization, which is shown to be optimal for another specific antenna configuration. To the best of our knowledge, these are the first results on multi-hop MIMO relay networks with untrusted relays and confidential messages.
KW - Degrees of freedom (DoF)
KW - Multi-hop networks
KW - Secrecy
KW - Secure degrees of freedom
UR - http://www.scopus.com/inward/record.url?scp=85051440082&partnerID=8YFLogxK
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U2 - 10.1109/ICC.2018.8422287
DO - 10.1109/ICC.2018.8422287
M3 - Conference contribution
AN - SCOPUS:85051440082
SN - 9781538631805
T3 - IEEE International Conference on Communications
BT - 2018 IEEE International Conference on Communications, ICC 2018 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2018 IEEE International Conference on Communications, ICC 2018
Y2 - 20 May 2018 through 24 May 2018
ER -