On the Capacity of Dual-Hop Multiple Antenna AF Relaying Systems with Feedback Delay and CCI

In this letter, we develop a unified framework for the ergodic capacity of dual-hop multiple antenna amplify-and-forward (AF) relaying systems employing transmit beamforming and maximum ratio combining (TB/MRC) with feedback delay and co-channel interference (CCI). Over Rayleigh fading channels, a new closed-form expression for the exact cumulative distribution function (CDF) of the end-to-end SINR is derived. Based on this, we present the exact expression and the closed-form upper and lower bounds of the ergodic capacity, respectively. The derived analytical results provide an efficient mathematical tool for the fast evaluation of the ergodic capacity of the system as well as for the investigation of the impact of key parameters such as feedback delay, number of antennas and CCI on the ergodic capacity of the system. Monte Carlo simulations are also provided to verify the correctness of the exact results and demonstrate the tightness of the proposed bounds.

[1]  Yu. A. Brychkov,et al.  Integrals and series , 1992 .

[2]  Mansoor Shafi,et al.  Capacity Limits and Performance Analysis of Cognitive Radio With Imperfect Channel Knowledge , 2010, IEEE Transactions on Vehicular Technology.

[3]  Michail Matthaiou,et al.  Capacity Bounds for AF Dual-hop Relaying in ${\cal G}$ Fading Channels , 2012, IEEE Transactions on Vehicular Technology.

[4]  Trung Quang Duong,et al.  Beamforming Amplify-and-Forward Relay Networks With Feedback Delay and Interference , 2012, IEEE Signal Processing Letters.

[5]  Jing Yang,et al.  On the Capacity of Two-Hop AF Relaying in the Presence of Interference Under Nakagami-m Fading , 2013, IEEE Communications Letters.

[6]  Hui Ding,et al.  Performance Analysis of Fixed Gain MIMO Relay Systems in the Presence of Co-Channel Interference , 2012, IEEE Communications Letters.

[7]  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)..

[8]  Caijun Zhong,et al.  Outage Probability of Dual-Hop Multiple Antenna AF Relaying Systems with Interference , 2013, IEEE Transactions on Communications.

[9]  Yao Ma,et al.  Error performance of transmit beamforming with delayed and limited feedback , 2009, IEEE Transactions on Wireless Communications.

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

[11]  Iain B. Collings,et al.  Selection Relaying with Transmit Beamforming: A Comparison of Fixed and Variable Gain Relaying , 2011, IEEE Transactions on Communications.

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

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