Exact analytical solution for end-to-end SNR of multihop AF relaying systems

A new method that leads to exact solutions for performance metrics related to the end-to-end signal-to-noise ratio (SNR) of multihop amplify-and-forward (AF) relaying systems is reported. The approach uses a generalized transformed characteristic function (GTCF) to find the exact average symbol error probability, ergodic capacity and outage probability of generic multihop AF relaying systems. The new GTCF method is illustrated by deriving exact solutions for Nakagami-m fading channels.

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

[2]  Norman C. Beaulieu,et al.  A Precise Approximation for Performance Evaluation of Amplify-and-Forward Multihop Relaying Systems , 2011, IEEE Transactions on Wireless Communications.

[3]  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)..

[4]  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.

[5]  S. Rice.  Efficient evaluation of integrals of analytic functions by the trapezoidal rule , 1973 .

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

[7]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[8]  I. Miller.  Probability, Random Variables, and Stochastic Processes , 1966 .

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

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

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

[12]  Athanasios Papoulis,et al.  Probability, Random Variables and Stochastic Processes , 1965 .

[13]  D. Owen.  Handbook of Mathematical Functions with Formulas , 1965 .

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

[15]  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.

[16]  Norman C. Beaulieu,et al.  An Accurate Approximation to the Average Error Probability of Cooperative Diversity in Nakagami-m Fading , 2010, IEEE Transactions on Wireless Communications.

[17]  Masoud Ardakani,et al.  Performance Bounds for AF Multi-Hop Relaying over Nakagami Fading , 2010, 2010 IEEE Wireless Communication and Networking Conference.

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