TY - GEN
T1 - On the transmit beamforming for MIMO wiretap channels
T2 - 7th International Conference on Information Theoretic Security, ICITS 2013
AU - Girnyk, Maksym A.
AU - Gabry, Frédéric
AU - Vehkaperä, Mikko
AU - Rasmussen, Lars K.
AU - Skoglund, Mikael
PY - 2014/1/1
Y1 - 2014/1/1
N2 - With the growth of wireless networks, security has become a fundamental issue in wireless communications due to the broadcast nature of these networks. In this work, we consider MIMO wiretap channels in a fast fading environment, for which the overall performance is characterized by the ergodic MIMO secrecy rate. Unfortunately, the direct solution to finding ergodic secrecy rates is prohibitive due to the expectations in the rates expressions in this setting. To overcome this difficulty, we invoke the large-system assumption, which allows a deterministic approximation to the ergodic mutual information. Leveraging results from random matrix theory, we are able to characterize the achievable ergodic secrecy rates. Based on this characterization, we address the problem of covariance optimization at the transmitter. Our numerical results demonstrate a good match between the large-system approximation and the actual simulated secrecy rates, as well as some interesting features of the precoder optimization.
AB - With the growth of wireless networks, security has become a fundamental issue in wireless communications due to the broadcast nature of these networks. In this work, we consider MIMO wiretap channels in a fast fading environment, for which the overall performance is characterized by the ergodic MIMO secrecy rate. Unfortunately, the direct solution to finding ergodic secrecy rates is prohibitive due to the expectations in the rates expressions in this setting. To overcome this difficulty, we invoke the large-system assumption, which allows a deterministic approximation to the ergodic mutual information. Leveraging results from random matrix theory, we are able to characterize the achievable ergodic secrecy rates. Based on this characterization, we address the problem of covariance optimization at the transmitter. Our numerical results demonstrate a good match between the large-system approximation and the actual simulated secrecy rates, as well as some interesting features of the precoder optimization.
KW - Beamforming
KW - Large-system approximation
KW - MIMO wiretap channel
KW - Random matrix theory
UR - http://www.scopus.com/inward/record.url?scp=84958550978&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-04268-8_6
DO - 10.1007/978-3-319-04268-8_6
M3 - Conference article in proceedings
AN - SCOPUS:84958550978
SN - 978-3-319-04267-1
T3 - Lecture Notes in Computer Science
SP - 90
EP - 102
BT - Information Theoretic Security
PB - Springer
Y2 - 28 November 2013 through 30 November 2013
ER -