Cooperative Dual-Hop Relaying Systems with Beamforming over Nakagami-m Fading Channels

In this paper, we investigate the end-to-end performance of dual-hop relaying systems with beamforming over Nakagami-m fading channels. Our analysis considers semi-blind (fixed-gain) relays with single antennas, and source and destination nodes equipped with multiple antennas. Closed-form expressions for the outage probability (OP), moment generating function (MGF), and generalized moments of the end-to-end signal-to-noise ratio (SNR) are derived. The proposed expressions apply to general operating scenarios with distinct Nakagami-m fading parameters and average SNRs between the hops. The influence of the power imbalance, fading parameters, and antenna configurations on the overall system performance are analyzed and discussed through representative numerical examples. Furthermore, the exactness of our formulations is validated by means of Monte Carlo simulations.

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

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

[3]  Titus K. Y. Lo.  Maximum ratio transmission , 1999, IEEE Trans. Commun..

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

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

[6]  Victor Adamchik,et al.  The algorithm for calculating integrals of hypergeometric type functions and its realization in REDUCE system , 1990, ISSAC '90.

[7]  Witold A. Krzymien,et al.  Multiple-Antenna Multiple-Relay Cooperative Communication System with Beamforming , 2008, VTC Spring 2008 - IEEE Vehicular Technology Conference.

[8]  M. Oguz Sunay,et al.  Effects of Transmit Beamforming on the Capacity of Multi-Hop MIMO Relay Channels , 2007, 2007 IEEE 18th International Symposium on Personal, Indoor and Mobile Radio Communications.

[9]  G. Karagiannidis,et al.  BER analysis of collaborative dual-hop wireless transmissions , 2004 .

[10]  Mostafa Kaveh,et al.  Exact symbol error probability of a Cooperative network in a Rayleigh-fading environment , 2004, IEEE Transactions on Wireless Communications.

[11]  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)..

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

[13]  Woon Hau Chin,et al.  Transmit Beamforming in Cooperative Networks , 2008, VTC Spring 2008 - IEEE Vehicular Technology Conference.

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

[15]  Dongwoo Kim,et al.  Cooperative System with Distributed Beamforming and Its Outage Probability , 2007, 2007 IEEE 65th Vehicular Technology Conference - VTC2007-Spring.

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

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

[18]  Branka Vucetic,et al.  Performance Analysis of Beamforming in Two Hop Amplify and Forward Relay Networks , 2008, 2008 IEEE International Conference on Communications.