Matrix computations (3rd ed.)
An MMSE approach to the secrecy capacity of the MIMO Gaussian wiretap channel
EURASIP Journal on Wireless Communications and Networking - Special issue on wireless physical layer security
A note on the secrecy capacity of the multiple-antenna wiretap channel
IEEE Transactions on Information Theory
Towards the secrecy capacity of the Gaussian MIMO wire-tap channel: the 2-2-1 channel
IEEE Transactions on Information Theory
Secure transmission with multiple antennas I: the MISOME wiretap channel
IEEE Transactions on Information Theory
Sparse graph codes for compression, sensing, and secrecy
Sparse graph codes for compression, sensing, and secrecy
Guaranteeing Secrecy using Artificial Noise
IEEE Transactions on Wireless Communications
The worst additive noise under a covariance constraint
IEEE Transactions on Information Theory
Uplink-downlink duality via minimax duality
IEEE Transactions on Information Theory
The Capacity Region of the Gaussian Multiple-Input Multiple-Output Broadcast Channel
IEEE Transactions on Information Theory
Secure Broadcasting Over Fading Channels
IEEE Transactions on Information Theory
Secure Communication Over Fading Channels
IEEE Transactions on Information Theory
On the Secrecy Capacity of Fading Channels
IEEE Transactions on Information Theory
Interference Alignment for the Multiantenna Compound Wiretap Channel
IEEE Transactions on Information Theory
Secure transmission with multiple antennas I: the MISOME wiretap channel
IEEE Transactions on Information Theory
User selection in multiuser MIMO systems with secrecy considerations
Asilomar'09 Proceedings of the 43rd Asilomar conference on Signals, systems and computers
MAC with partially cooperating encoders and security constraints
Proceedings of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools
Achievable secrecy rates for wiretap OFDM with QAM constellations
Proceedings of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools
SLNR-Based Transmit Beamforming for MIMO Wiretap Channel
Wireless Personal Communications: An International Journal
Secure cooperative physical-layer coding for the internet of things
Proceedings of the International Workshop on Adaptive Security
Asymptotic Analysis on Secrecy Capacity in Large-Scale Wireless Networks
IEEE/ACM Transactions on Networking (TON)
| Hi-index | 754.90 |
The capacity of the Gaussian wiretap channel model is analyzed when there are multiple antennas at the sender, intended receiver and eavesdropper. The associated channel matrices are fixed and known to all the terminals. A computable characterization of the secrecy capacity is established as the saddle point solution to a minimax problem. The converse is based on a Sato-type argument used in other broadcast settings, and the coding theorem is based on Gaussian wiretap codebooks. At high signal-to-noise ratio (SNR), the secrecy capacity is shown to be attained by simultaneously diagonalizing the channel matrices via the generalized singular value decomposition, and independently coding across the resulting parallel channels. The associated capacity is expressed in terms of the corresponding generalized singular values. It is shown that a semi-blind "masked" multi-input multi-output (MIMO) transmission strategy that sends information along directions in which there is gain to the intended receiver, and synthetic noise along directions in which there is not, can be arbitrarily far from capacity in this regime. Necessary and sufficient conditions for the secrecy capacity to be zero are provided, which simplify in the limit of many antennas when the entries of the channel matrices are independent and identically distributed. The resulting scaling laws establish that to prevent secure communication, the eavesdropper needs three times as many antennas as the sender and intended receiver have jointly, and that the optimum division of antennas between sender and intended receiver is in the ratio of 2:1.