A New Formula for the Average Bit Error Probability of Dual-Hop Amplify-and-Forward Relaying Systems over Generalized Shadowed Fading Channels

In this letter we propose a unified analytical expression for the average bit error probability of dual-hop amplify- and-forward relaying systems operating in the presence of both fast fading and shadowing. In order to provide a realistic end-to- end performance of the considered system we assume that both hops are subject to independent but not necessarily identically distributed Extended Generalized-K fading. Our newly derived formula is obtained in terms of the bivariate H-Fox function. A computationally efficient algorithm to evaluate the average bit error probability is also proposed. The accuracy of the proposed method is substantiated by various numerically evaluated and computer simulation results.

[1]  Mazen O. Hasna,et al.  Outage probability of multihop transmission over Nakagami fading channels , 2003, IEEE Communications Letters.

[2]  Fortunato Santucci,et al.  A unified framework for performance analysis of CSI-assisted cooperative communications over fading channels , 2009, IEEE Transactions on Communications.

[3]  Fortunato Santucci,et al.  A comprehensive framework for performance analysis of dual-hop cooperative wireless systems with fixed-gain relays over generalized fading channels , 2009, IEEE Transactions on Wireless Communications.

[4]  Yu. A. Brychkov,et al.  Integrals and series , 1992 .

[5]  E. Stacy.  A Generalization of the Gamma Distribution , 1962 .

[6]  Valentine A. Aalo,et al.  On the Error Rate Analysis of Dual-Hop Amplify-and-Forward Relaying in Generalized-K Fading Channels , 2010, J. Electr. Comput. Eng..

[7]  P. Mohana Shankar,et al.  Error Rates in Generalized Shadowed Fading Channels , 2004, Wirel. Pers. Commun..

[8]  Mohamed-Slim Alouini,et al.  A New Formula for the BER of Binary Modulations with Dual-Branch Selection over Generalized-K Composite Fading Channels , 2010, IEEE Transactions on Communications.

[9]  Mohamed-Slim Alouini,et al.  A unified framework for the statistical characterization of the SNR of amplify-and-forward multihop channels , 2010, 2010 17th International Conference on Telecommunications.

[10]  D. F. Hays,et al.  Table of Integrals, Series, and Products , 1966 .

[11]  Mohamed-Slim Alouini,et al.  A novel framework on exact average symbol error probabilities of multihop transmission over amplify-and-forward relay fading channels , 2010, 2010 7th International Symposium on Wireless Communication Systems.

[12]  Chengwen Xing,et al.  Exact Performance Analysis of Dual-Hop Semi-Blind AF Relaying over Arbitrary Nakagami-m Fading Channels , 2011, IEEE Transactions on Wireless Communications.

[13]  Mohamed-Slim Alouini,et al.  A new simple model for composite fading channels: Second order statistics and channel capacity , 2010, 2010 7th International Symposium on Wireless Communication Systems.

[14]  Chintha Tellambura,et al.  Performance Analysis of Wireless Systems from the MGF of the Reciprocal of the Signal-to-Noise Ratio , 2011, IEEE Communications Letters.

[15]  Fortunato Santucci,et al.  A comprehensive framework for performance analysis of cooperative multi-hop wireless systems over log-normal fading channels , 2010, IEEE Transactions on Communications.

[16]  Norman C. Beaulieu,et al.  A General Framework for Symbol Error Probability Analysis of Wireless Systems and Its Application in Amplify-and-Forward Multihop Relaying , 2010, IEEE Transactions on Vehicular Technology.

[17]  Jingxian Wu,et al.  Approximating a Sum of Random Variables with a Lognormal , 2007, IEEE Transactions on Wireless Communications.