Performance Analysis of Multihop Wireless Links Over Generalized- $K$ Fading Channels

The performance of multihop links is studied in this contribution by both analysis and simulations when communicating over generalized-K (KG) fading channels. The performance metrics considered include symbol error rate (SER), outage probability, level crossing rate (LCR), and average outage duration (AOD). First, the expressions for both the SER and outage probability are derived by approximating the probability density function (pdf) of the end-to-end signal-to-noise ratio (SNR) using an equivalent end-to-end pdf. We show that this equivalent end-to-end pdf is accurate for analyzing the outage probability. Then, the second-order statistics of LCR and AOD of multihop links are analyzed. Finally, the performance of multihop links is investigated by either simulations or evaluation of the expressions derived. Our performance results show that the analytical expressions obtained can be well justified by the simulation results. The studies show that the KG channel model and the expressions derived in this paper are highly efficient for the prediction of the performance metrics and statistics for the design of multihop communication links.

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

[2]  Sofiène Affes,et al.  On the Level Crossing Rate and Average Fade Duration of Composite Multipath/Shadowing Channels , 2008, IEEE GLOBECOM 2008 - 2008 IEEE Global Telecommunications Conference.

[3]  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.

[4]  Mohamed-Slim Alouini,et al.  Digital Communication over Fading Channels: Simon/Digital Communications 2e , 2004 .

[5]  Theodore S. Rappaport,et al.  Wireless Communications: Principles and Practice (2nd Edition) by , 2012 .

[6]  Mazen O. Hasna,et al.  Average outage duration of multihop communication systems with regenerative relays , 2003, The 57th IEEE Semiannual Vehicular Technology Conference, 2003. VTC 2003-Spring..

[7]  Mazen O. Hasna,et al.  Average outage duration of multihop communication systems with regenerative relays , 2005, IEEE Transactions on Wireless Communications.

[8]  P. Takis Mathiopoulos,et al.  Diversity reception over generalized-K (KG) fading channels , 2007, IEEE Transactions on Wireless Communications.

[9]  Valeri Kontorovich,et al.  On the Second Order Statistics of Generalized Gamma Process , 2006, 2006 IEEE 17th International Symposium on Personal, Indoor and Mobile Radio Communications.

[10]  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.

[11]  M. Yacoub,et al.  On higher order statistics of the Nakagami-m distribution , 1999 .

[12]  I. S. Gradshteyn,et al.  Table of Integrals, Series, and Products , 1976 .

[13]  Ali Abdi,et al.  On the utility of gamma PDF in modeling shadow fading (slow fading) , 1999, 1999 IEEE 49th Vehicular Technology Conference (Cat. No.99CH36363).

[14]  George K. Karagiannidis,et al.  On the performance analysis of digital communications over generalized-K fading channels , 2006, IEEE Communications Letters.

[15]  Hazem H. Refai,et al.  Adaptability and Configurability in Cognitive Radio Design on Small Form Factor Software Radio Platform , 2012, Wirel. Pers. Commun..

[16]  George P. Efthymoglou On the Performance Analysis of Digital Modulations in Generalized-K Fading Channels , 2012, Wirel. Pers. Commun..

[17]  Lie-Liang Yang,et al.  Error probability of digital communications using relay diversity over Nakagami-m fading channels , 2008, IEEE Transactions on Wireless Communications.

[18]  P. Shankar Outage probabilities in shadowed fading channels using a compound statistical model , 2005 .

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

[20]  Gordon L. Stüber Principles of mobile communication , 1996 .

[21]  S. O. Rice,et al.  Statistical properties of a sine wave plus random noise , 1948, Bell Syst. Tech. J..

[22]  Theodore S. Rappaport,et al.  Wireless communications - principles and practice , 1996 .