A General Framework for Symbol Error Probability Analysis of Wireless Systems and Its Application in Amplify-and-Forward Multihop Relaying

New exact single-integral expressions for the evaluation of the average error probability of a wireless communication system are derived for a variety of modulation schemes in terms of the moment-generating function (MGF) of the reciprocal of the instantaneous received signal-to-noise ratio (SNR). The expressions obtained form a framework for performance evaluation of wireless communication systems for which the well-known MGF-based performance analysis method cannot be used, that is, systems for which the MGF of the instantaneous received SNR is not known or cannot be derived in closed-form. Using the framework obtained, the error probability performance in general fading of an amplify-and-forward (AF) multihop relaying system with both variable-gain and fixed-gain relays is then evaluated. In particular, a new expression for the MGF of the reciprocal of the instantaneous received SNR of an AF multihop system with fixed-gain relays is derived. Numerical examples show precise agreement between simulation results and theoretical results.

[1]  Norman C. Beaulieu,et al.  On the ergodic capacity of multi-hop wireless relaying systems , 2009, IEEE Transactions on Wireless Communications.

[2]  Norman C. Beaulieu,et al.  Capacity of amplify-and-forward multi-hop relaying systems under adaptive transmission , 2010, IEEE Transactions on Communications.

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

[4]  George M. Dillard,et al.  Recursive Computation of the Generalized Q Function , 1973, IEEE Transactions on Aerospace and Electronic Systems.

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

[6]  R C Robertson,et al.  Digital Communications Over Fading Channels , 2004 .

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

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

[9]  Joseph Lipka,et al.  A Table of Integrals , 2010 .

[10]  Mazen O. Hasna,et al.  A performance study of dual-hop transmissions with fixed gain relays , 2004, IEEE Transactions on Wireless Communications.

[11]  Fortunato Santucci,et al.  On the Performance of CSI-Assisted Cooperative Communications over Generalized Fading Channels , 2008, 2008 IEEE International Conference on Communications.

[12]  Halim Yanikomeroglu,et al.  Multihop diversity in wireless relaying channels , 2004, IEEE Transactions on Communications.

[13]  Norman C. Beaulieu,et al.  On the performance of amplify-and-forward cooperative systems with fixed gain relays , 2008, IEEE Transactions on Wireless Communications.

[14]  Pin-Han Ho,et al.  GSIS: A Secure and Privacy-Preserving Protocol for Vehicular Communications , 2007, IEEE Transactions on Vehicular Technology.

[15]  Dongweon Yoon,et al.  On the general BER expression of one- and two-dimensional amplitude modulations , 2002, IEEE Trans. Commun..

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

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

[18]  Panagiotis Papadimitratos,et al.  Secure vehicular communication systems: design and architecture , 2008, IEEE Communications Magazine.