End-to-end performance of transmission systems with relays over Rayleigh-fading channels

End-to-end performance of two-hop wireless communication systems with nonregenerative relays over flat Rayleigh-fading channels is presented. This is accomplished by deriving and applying some new closed-form expressions for the statistics of the harmonic mean of two independent exponential variates. It is shown that the presented results can either be exact or tight lower bounds on the performance of these systems depending on the choice of the relay gain. More specifically, average bit-error rate expressions for binary differential phase-shift keying, as well as outage probability formulas for noise limited systems are derived. Finally, comparisons between regenerative and nonregenerative systems are presented. Numerical results show that the former systems clearly outperform the latter ones for low average signal-to-noise-ratio (SNR). They also show that the two systems have similar performance at high average SNR.

[1]  Gregory W. Wornell,et al.  An efficient protocol for realizing cooperative diversity in wireless networks , 2001, Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252).

[2]  M. Kaveh,et al.  Combating shadowing effects for systems with transmitter diversity by using collaboration among mobile users , 2002 .

[3]  Gregory W. Wornell,et al.  Energy-efficient antenna sharing and relaying for wireless networks , 2000, 2000 IEEE Wireless Communications and Networking Conference. Conference Record (Cat. No.00TH8540).

[4]  H. Kaufman,et al.  Table of Laplace transforms , 1966 .

[5]  M.O. Hasna.  Performance enhancement of relay-assisted communications via binary feedback , 2004, First International Symposium on Control, Communications and Signal Processing, 2004..

[6]  Mazen O. Hasna,et al.  End-to-end outage probability of multihop transmission over lognormal shadowed channels , 2003 .

[7]  Mohamed-Slim Alouini,et al.  Performance analysis of two-hop relayed transmissions over Rayleigh fading channels , 2002, Proceedings IEEE 56th Vehicular Technology Conference.

[8]  P. R. Nelson.  The algebra of random variables , 1979 .

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

[10]  David Tse,et al.  Mobility increases the capacity of ad-hoc wireless networks , 2001, Proceedings IEEE INFOCOM 2001. Conference on Computer Communications. Twentieth Annual Joint Conference of the IEEE Computer and Communications Society (Cat. No.01CH37213).

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

[12]  D.F. DiFonzo,et al.  Introduction to communications engineering , 1981, Proceedings of the IEEE.

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

[14]  Mazen O. Hasna,et al.  Optimal power allocation for relayed transmissions over Rayleigh-fading channels , 2004, IEEE Transactions on Wireless Communications.

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

[16]  M.O. Hasna,et al.  On the capacity of cooperative diversity systems with adaptive modulation , 2005, Second IFIP International Conference on Wireless and Optical Communications Networks, 2005. WOCN 2005..

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

[18]  Elza Erkip,et al.  Increasing uplink capacity via user cooperation diversity , 1998, Proceedings. 1998 IEEE International Symposium on Information Theory (Cat. No.98CH36252).