On the Secrecy Mutual Information of Nakagami-m Fading SIMO Channel

In this paper, we consider the transmission of confidential message through non-identically and identically independent Nakagami-m fading single-input multiple-output (SIMO) channel in the presence of an eavesdropper. We are interested in protecting this message against eavesdropping i.e. the information is secure if it cannot be eavesdropped by any eavesdropper. Based on the problem of secure communications between transmitter and intended receiver over Nakagami-m fading channel where an eavesdropper observes their transmissions through another Nakagami-m fading channel, we derive the analytical expressions for the probability of non-zero secrecy mutual information, secure outage probability and ergodic secrecy mutual information of SIMO wireless communication systems over non-identically and identically independent Nakagami-m fading subchannels. Numerical results are presented and verified via Monte-Carlo simulation.

[1]  Hirofumi Suzwi,et al.  A Statistical Model for Urban Radio Propagation , 1977 .

[2]  H. Suzuki,et al.  A Statistical Model for Urban Radio Propogation , 1977, IEEE Trans. Commun..

[3]  Gregory W. Wornell,et al.  Secure Transmission With Multiple Antennas—Part II: The MIMOME Wiretap Channel , 2010, IEEE Transactions on Information Theory.

[4]  Richard E. Blahut,et al.  Secrecy capacity of SIMO and slow fading channels , 2005, Proceedings. International Symposium on Information Theory, 2005. ISIT 2005..

[5]  Ali Shahzadi,et al.  Secret key Capacity for Wireless Nakagami and Suzuki Fading Channels , 2007 .

[6]  Feng Zheng,et al.  On the Channel Capacity of Multiantenna Systems with Nakagami Fading , 2006, EURASIP J. Adv. Signal Process..

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

[8]  Frédérique E. Oggier,et al.  The secrecy capacity of the MIMO wiretap channel , 2007, 2008 IEEE International Symposium on Information Theory.

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

[10]  Claude E. Shannon,et al.  Communication theory of secrecy systems , 1949, Bell Syst. Tech. J..

[11]  Sergios Theodoridis,et al.  A Novel Efficient Cluster-Based MLSE Equalizer for Satellite Communication Channels with-QAM Signaling , 2006, EURASIP J. Adv. Signal Process..

[12]  Guanding Yu,et al.  On the Secrecy Capacity of Fading Wireless Channel with Multiple Eavesdroppers , 2007, 2007 IEEE International Symposium on Information Theory.

[13]  Frédérique E. Oggier,et al.  The secrecy capacity of the MIMO wiretap channel , 2008, ISIT.