Secrecy Capacity of $\kappa-\mu$ Shadowed Fading Channels

Secure outage probability and strictly positive secrecy capacity (SPSC) expressions are derived for single-input multiple-output systems over <inline-formula> <tex-math notation="LaTeX">$\kappa -\mu$ </tex-math></inline-formula> shadowed fading channels. Also, a novel approximation for the SPSC is derived in terms of a single Gauss hypergeometric function. A close match is observed among the results obtained through the derived analytical expressions, the approximation, and Monte Carlo simulations.

[1]  Xian Liu,et al.  Probability of Strictly Positive Secrecy Capacity of the Rician-Rician Fading Channel , 2013, IEEE Wireless Communications Letters.

[2]  Mathini Sellathurai,et al.  Secrecy capacity of Nakagami-m fading wireless channels in the presence of multiple eavesdroppers , 2009, 2009 Conference Record of the Forty-Third Asilomar Conference on Signals, Systems and Computers.

[3]  Xiaoyu Chen,et al.  On High-Order Capacity Statistics of Spectrum Aggregation Systems over $κ$-$μ$ and $κ$-$μ$ shadowed Fading Channels , 2016, ArXiv.

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

[5]  Suman Kumar Approximate Outage Probability and Capacity for $\kappa$ - $\mu$ Shadowed Fading , 2015 .

[6]  Tomoaki Ohtsuki,et al.  Secure outage probability over κ-μ fading channels , 2017, 2017 IEEE International Conference on Communications (ICC).

[7]  Jin Jin,et al.  Effective Rate of MISO Systems Over $\kappa $ - $\mu $ Shadowed Fading Channels , 2017, IEEE Access.

[8]  Sataya D. Dubey,et al.  Compound gamma, beta and F distributions , 1970 .

[9]  Jules M. Moualeu,et al.  On the Secrecy Performance Analysis of SIMO Systems Over $\kappa$ – $\mu$ Fading Channels , 2017, IEEE Communications Letters.

[10]  Suman Kumar,et al.  Outage Probability and Rate for κ-μ Shadowed Fading in Interference Limited Scenario , 2017, IEEE Trans. Wirel. Commun..

[11]  Suman Kumar,et al.  Approximate Outage Probability and Capacity for $\kappa$- $\mu$ Shadowed Fading , 2015, IEEE Wireless Communications Letters.

[12]  Eduardo Martos-Naya,et al.  The $\kappa$– $\mu$ Shadowed Fading Model: Unifying the $\kappa$– $\mu$ and $\eta$– $\mu$ Distributions , 2016, IEEE Transactions on Vehicular Technology.

[13]  M. Abramowitz,et al.  Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .

[14]  Gauss M. Cordeiro,et al.  The McDonald inverted beta distribution , 2012, J. Frankl. Inst..

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

[16]  Simon L. Cotton,et al.  Secrecy Capacity Analysis Over κ-μ Fading Channels: Theory and Applications , 2015, IEEE Trans. Commun..

[17]  Linglong Dai,et al.  Effective capacity of communication systems over κ-μ shadowed fading channels , 2015, ArXiv.