Asymptotic MIMO artificial-noise secrecy rates with eigenmode partitioning

In a multiple-input multiple-output (MIMO) wiretap channel system, it has been shown that artificial noise can be transmitted in the null space of the main channel to guarantee the secrecy at the intended receiver. Previous formulas for MIMO asymptotic capacity assume that all channel eigenmodes will be utilized. However, optimizing over possible antenna configurations requires partitioning the available eigenmodes. With only some eigenmodes used for signal transmission, finding an exact closed-form asymptotic solution is, in general, intractable. We present a large-scale MIMO approximation with eigenmode partitioning, accurate for realistic numbers of antennas, and with greatly reduced computational complexity.

[1]  Sergio Verdu,et al.  Multiuser Detection , 1998 .

[2]  A. Lee Swindlehurst,et al.  Utility of beamforming strategies for secrecy in multiuser MIMO wiretap channels , 2009, 2009 47th Annual Allerton Conference on Communication, Control, and Computing (Allerton).

[3]  Shlomo Shamai,et al.  The impact of frequency-flat fading on the spectral efficiency of CDMA , 2001, IEEE Trans. Inf. Theory.

[4]  Dan Popescu,et al.  Information capacity of a random signature multiple-input multiple-output channel , 2000, IEEE Trans. Commun..

[5]  Gregory W. Wornell,et al.  Secure Transmission With Multiple Antennas I: The MISOME Wiretap Channel , 2010, IEEE Transactions on Information Theory.

[6]  Matthew R. McKay,et al.  On the Design of Artificial-Noise-Aided Secure Multi-Antenna Transmission in Slow Fading Channels , 2012, IEEE Transactions on Vehicular Technology.

[7]  2014 IEEE International Workshop on Information Forensics and Security, WIFS 2014, Atlanta, GA, USA, December 3-5, 2014 , 2014, WIFS.

[8]  Jing Wang,et al.  Optimal Power Allocation for Joint Beamforming and Artificial Noise Design in Secure Wireless Communications , 2011, 2011 IEEE International Conference on Communications Workshops (ICC).

[9]  A. D. Wyner,et al.  The wire-tap channel , 1975, The Bell System Technical Journal.

[10]  Miguel R. D. Rodrigues,et al.  Secrecy Capacity of Wireless Channels , 2006, 2006 IEEE International Symposium on Information Theory.

[11]  Antonia Maria Tulino,et al.  Random Matrix Theory and Wireless Communications , 2004, Found. Trends Commun. Inf. Theory.

[12]  R. Negi,et al.  Secret communication in presence of colluding eavesdroppers , 2005, MILCOM 2005 - 2005 IEEE Military Communications Conference.

[13]  Antonia Maria Tulino,et al.  Capacity of multiple-transmit multiple-receive antenna architectures , 2002, IEEE Trans. Inf. Theory.

[14]  Chong-Yung Chi,et al.  Guaranteeing Secrecy using Artificial Noise with Quantized Channel Feedback , 2009 .

[15]  Hsuan-Jung Su,et al.  On Secrecy Rate of the Generalized Artificial-Noise Assisted Secure Beamforming for Wiretap Channels , 2012, IEEE Journal on Selected Areas in Communications.

[16]  Mounir Ghogho,et al.  Outage Probability Based Power Distribution Between Data and Artificial Noise for Physical Layer Security , 2012, IEEE Signal Processing Letters.

[17]  Matthieu R. Bloch,et al.  Physical-Layer Security: From Information Theory to Security Engineering , 2011 .

[18]  Andrea J. Goldsmith,et al.  Capacity limits of MIMO channels , 2003, IEEE J. Sel. Areas Commun..

[19]  S. Verdu,et al.  MIMO capacity with channel state information at the transmitter , 2004, Eighth IEEE International Symposium on Spread Spectrum Techniques and Applications - Programme and Book of Abstracts (IEEE Cat. No.04TH8738).

[20]  David Tse,et al.  Linear Multiuser Receivers: Effective Interference, Effective Bandwidth and User Capacity , 1999, IEEE Trans. Inf. Theory.

[21]  Imre Csiszár,et al.  Broadcast channels with confidential messages , 1978, IEEE Trans. Inf. Theory.

[22]  Matthew R. McKay,et al.  Secure Transmission With Artificial Noise Over Fading Channels: Achievable Rate and Optimal Power Allocation , 2010, IEEE Transactions on Vehicular Technology.

[23]  Chong-Yung Chi,et al.  On the Impact of Quantized Channel Feedback in Guaranteeing Secrecy with Artificial Noise: The Noise Leakage Problem , 2011, IEEE Trans. Wirel. Commun..

[24]  A. Lee Swindlehurst,et al.  On the use of artificial interference for secrecy with imperfect CSI , 2011, 2011 IEEE 12th International Workshop on Signal Processing Advances in Wireless Communications.

[25]  Matthieu R. Bloch,et al.  Wireless Information-Theoretic Security , 2008, IEEE Transactions on Information Theory.