TY - GEN
T1 - Secure communication in the low-SNR regime
T2 - 2009 IEEE International Symposium on Information Theory, ISIT 2009
AU - Gursoy, Mustafa Cenk
PY - 2009
Y1 - 2009
N2 - Secrecy capacity of a multiple-antenna wiretap channel is studied in the low signal-to-noise ratio (SNR) regime. Expressions for the first and second derivatives of the secrecy capacity with respect to SNR at SNR = 0 are derived. Transmission strategies required to achieve these derivatives are identified. In particular, it is shown that it is optimal in the low-SNR regime to transmit in the maximum-eigenvalue eigenspace of φ = Hm-Nm/N e HeHe where Hm and He denote the channel matrices associated with the legitimate receiver and eavesdropper, respectively, and Nm and Ne are the noise variances at the receiver and eavesdropper, respectively. Energy efficiency is analyzed by finding the minimum bit energy required for secure and reliable communications, and the wideband slope. Increased bit energy requirements under secrecy constraints are quantified. Finally, the impact of fading is investigated.
AB - Secrecy capacity of a multiple-antenna wiretap channel is studied in the low signal-to-noise ratio (SNR) regime. Expressions for the first and second derivatives of the secrecy capacity with respect to SNR at SNR = 0 are derived. Transmission strategies required to achieve these derivatives are identified. In particular, it is shown that it is optimal in the low-SNR regime to transmit in the maximum-eigenvalue eigenspace of φ = Hm-Nm/N e HeHe where Hm and He denote the channel matrices associated with the legitimate receiver and eavesdropper, respectively, and Nm and Ne are the noise variances at the receiver and eavesdropper, respectively. Energy efficiency is analyzed by finding the minimum bit energy required for secure and reliable communications, and the wideband slope. Increased bit energy requirements under secrecy constraints are quantified. Finally, the impact of fading is investigated.
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U2 - 10.1109/ISIT.2009.5205914
DO - 10.1109/ISIT.2009.5205914
M3 - Conference contribution
AN - SCOPUS:70449487065
SN - 9781424443130
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 2291
EP - 2295
BT - 2009 IEEE International Symposium on Information Theory, ISIT 2009
Y2 - 28 June 2009 through 3 July 2009
ER -