An Accurate Performance Analysis for Regenerative Multi-hop Relaying in Wireless Networks Over Composite Multipath/Shadowed Fading

This paper presents and evaluates the performance of wireless networks that utilize the decode-and-forward relay. This multi-hop relaying scheme communicates over Extended Generalized-$${\mathcal {K}}$$K ($$\hbox {EG}{\mathcal {K}}$$EGK) composite fading channels to create performance evaluation. To this effect, new exact and easy to compute formulas for several performance metrics are derived. More specifically, new and exact-form mathematical formulas are derived for the cumulative distribution function, the generalized moments of the overall end-to-end signal-to-noise ratio, the outage probability ($${\hbox {P}}_{\text{out}}$$Pout), the ergodic capacity ($${\mathcal {C}}_{\text{Ergodic}}$$CErgodic), the moment generating function, and the average error probability ($${\hbox {Pr(e)}}$$Pr(e)) for different modulation schemes. Moreover, we carried out a series of computer simulation experiments in order to testify the accuracy of the derived framework. Finally, we discussed the impact of different parameters including fading/shadowing parameters, transmitted power and the number of hops on the derived expressions.

[1]  M. Schwartz,et al.  Communication Systems and Techniques , 1996, IEEE Communications Magazine.

[2]  Norman C. Beaulieu,et al.  On the Ergodic Capacity of Wireless Relaying Systems over Rayleigh Fading Channels , 2008, IEEE Transactions on Wireless Communications.

[3]  Arak M. Mathai,et al.  The H-Function with Applications in Statistics and Other Disciplines. , 1981 .

[4]  A. Kilbas.  H-Transforms: Theory and Applications , 2004 .

[5]  D. B. D. Costa,et al.  Capacity analysis of cooperative systems with relay selection in Nakagami-m fading , 2009, IEEE Commun. Lett..

[6]  Jiaru Lin,et al.  Performance of Dual-Hop Transmissions with Fixed Gain Relays over Generalized-K Fading Channels , 2009, 2009 IEEE International Conference on Communications.

[7]  Lie-Liang Yang,et al.  Performance Analysis of Multihop Wireless Links Over Generalized- $K$ Fading Channels , 2012, IEEE Transactions on Vehicular Technology.

[8]  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.

[9]  Kostas Peppas,et al.  A New Formula for the Average Bit Error Probability of Dual-Hop Amplify-and-Forward Relaying Systems over Generalized Shadowed Fading Channels , 2012, IEEE Wireless Communications Letters.

[10]  Mohammed Aloqlah,et al.  Performance study of decode and forward based multi-hop relaying in wireless networks over extended generalized-K fading channels , 2016, 2016 International Conference on Computing, Networking and Communications (ICNC).

[11]  Norman C. Beaulieu,et al.  A closed-form expression for the outage probability of decode-and-forward relaying in dissimilar Rayleigh fading channels , 2006, IEEE Communications Letters.

[12]  George K. Karagiannidis,et al.  Nonregenerative Dual-Hop Cooperative Links with Selection Diversity , 2006, EURASIP J. Wirel. Commun. Netw..

[13]  Mazen O. Hasna,et al.  A performance study of dual-hop transmissions with fixed gain relays , 2003, 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03)..

[14]  Mohamed-Slim Alouini,et al.  Coded Communication over Fading Channels , 2005 .

[15]  Stefan Panić,et al.  Performance of Dual-Hop Relaying Over Shadowed Ricean Fading Channels , 2011 .

[16]  Mohamed-Slim Alouini,et al.  Product of the Powers of Generalized Nakagami-m Variates and Performance of Cascaded Fading Channels , 2009, GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference.

[17]  Salama Ikki,et al.  Performance Analysis of Dual Hop Relaying over Non-Identical Weibull Fading Channels , 2009, VTC Spring 2009 - IEEE 69th Vehicular Technology Conference.

[18]  Mohammed Aloqlah.  End-to-end performance analysis of dual-hop relaying systems over Extended Generalized K-fading channels , 2013, ICT 2013.

[19]  Mazen O. Hasna,et al.  Harmonic mean and end-to-end performance of transmission systems with relays , 2004, IEEE Transactions on Communications.

[20]  George S. Tombras,et al.  Dual-hop transmissions with fixed-gain relays over Generalized-Gamma fading channels , 2010, ArXiv.

[21]  Goran T. Djordjevic,et al.  Analytical Model for Outage Probability of Interference-Limited Systems over Extended Generalized-K Fading Channels , 2012, IEEE Communications Letters.

[22]  Mohamed-Slim Alouini,et al.  Digital Communication Over Fading Channels: A Unified Approach to Performance Analysis , 2000 .

[23]  Osamah S. Badarneh,et al.  Performance Analysis of Dual-Hop Systems with Decode-and-Forward Relays over Generalized Fading Channels , 2013, J. Commun..

[24]  Salama Ikki,et al.  Performance Analysis of Dual-Hop Relaying Communications Over Generalized Gamma Fading Channels , 2007, IEEE GLOBECOM 2007 - IEEE Global Telecommunications Conference.

[25]  Mounir Ghogho,et al.  Tight Bounds for Ergodic Capacity of Dual-Hop Fixed-Gain Relay Networks under Rayleigh Fading , 2011, IEEE Communications Letters.

[26]  Mohammed,et al.  Performance Analysis of Multi-hop Systems with Decode-and-Forward Relays over Extended Generalized-K Fading Channels , 2015 .

[27]  Michail Matthaiou,et al.  Capacity Bounds for AF Dual-hop Relaying in ${\cal G}$ Fading Channels , 2012, IEEE Transactions on Vehicular Technology.

[28]  M. A. Chaudhry,et al.  On a Class of Incomplete Gamma Functions with Applications , 2001 .

[29]  K. Gupta,et al.  An integral involving generalized function of two variables , 1972 .

[30]  Mazen O. Hasna,et al.  End-to-end performance of transmission systems with relays over Rayleigh-fading channels , 2003, IEEE Trans. Wirel. Commun..

[31]  Gregory W. Wornell,et al.  Cooperative diversity in wireless networks: Efficient protocols and outage behavior , 2004, IEEE Transactions on Information Theory.

[32]  George K. Karagiannidis,et al.  Performance bounds of multihop wireless communications with blind relays over generalized fading channels , 2006, IEEE Transactions on Wireless Communications.