Title :
Rank property of the MIMO Gaussian wiretap channel with an average power constraint
Author :
Fakoorian, S. Ali A. ; Jing Huang ; Swindlehurst, A.L.
Author_Institution :
Center for Pervasive Commun. & Comput., Univ. of California Irvine, Irvine, CA, USA
Abstract :
This paper considers a multiple-input multiple-output (MIMO) Gaussian wiretap channel, where there exists a transmitter, a legitimate receiver and an eavesdropper, each equipped with multiple antennas. In particular, we study the rank of the optimal input covariance matrix that achieves the secrecy capacity of the multiple antenna MIMO Gaussian wiretap channel under an average power constraint. The rank and other properties of the optimal solution are derived based on certain relationships between the channel matrices for the legitimate receiver and eavesdropper. Such properties are useful steps towards characterizing the general solution to the MIMO wiretap problem with an average power constraint.
Keywords :
Gaussian channels; MIMO communication; antenna arrays; channel capacity; covariance matrices; radio receivers; radio transmitters; telecommunication security; wireless channels; average power constraint; channel matrices; eavesdropper; legitimate receiver; multiple antenna MIMO Gaussian wiretap channel; multiple antennas; multiple-input multiple-output Gaussian wiretap channel; optimal input covariance matrix; physical layer security; rank property; secrecy capacity; MIMOWiretap Channel; Physical Layer Security; Secrecy Capacity;
Conference_Titel :
Signals, Systems and Computers (ASILOMAR), 2012 Conference Record of the Forty Sixth Asilomar Conference on
Conference_Location :
Pacific Grove, CA
Print_ISBN :
978-1-4673-5050-1
DOI :
10.1109/ACSSC.2012.6489038
