Ergodic capacity of decode-and-forward relay strategies over general fast fading channels

Proposed is a novel ergodic capacity formula for decode-and-forward (DF) relaying over a very general fast fading channel model, i.e. the channel gains of the links follow independent but non-necessarily identically distributed Nakagami-m distributions. The proposed formula is validated by Monte Carlo simulations and can be computed efficiently. Since the considered channel model is very general, the proposed formula is appropriate for evaluating the performance of DF relaying in a wide variety of realistic wireless channel environments.

[1]  P. Moschopoulos,et al.  The distribution of the sum of independent gamma random variables , 1985 .

[2]  M. Nakagami The m-Distribution—A General Formula of Intensity Distribution of Rapid Fading , 1960 .

[3]  Abbas El Gamal,et al.  Capacity theorems for the relay channel , 1979, IEEE Trans. Inf. Theory.

[4]  Kostas Berberidis,et al.  Performance Analysis of Cooperative Networks With Relay Selection Over Nakagami-$m$ Fading Channels , 2010, IEEE Signal Processing Letters.

[5]  Salama Ikki,et al.  Performance Analysis of Multi-Branch Decode-and-Forward Cooperative Diversity Networks over Nakagami-m Fading Channels , 2009, 2009 IEEE International Conference on Communications.

[6]  Michael Gastpar,et al.  Cooperative strategies and capacity theorems for relay networks , 2005, IEEE Transactions on Information Theory.

[7]  Aleksandar Kavcic,et al.  Capacity theorems for relay channels with ISI , 2008, 2008 IEEE International Symposium on Information Theory.

[8]  Norman C. Beaulieu,et al.  On the Ergodic Capacity of Wireless Relaying Systems over Rayleigh Fading Channels , 2008, IEEE Transactions on Wireless Communications.

[9]  Anders Høst-Madsen,et al.  Capacity bounds and power allocation for wireless relay channels , 2005, IEEE Transactions on Information Theory.

[10]  Caijun Zhong,et al.  Capacity Bounds for MIMO Nakagami- $m$ Fading Channels , 2009, IEEE Transactions on Signal Processing.

[11]  Bo Wang,et al.  On the capacity of MIMO relay channels , 2005, IEEE Transactions on Information Theory.

[12]  Yinman Lee,et al.  Performance of Decode-and-Forward Cooperative Communications Over Nakagami- Fading Channels , 2009, IEEE Trans. Veh. Technol..

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