Title :
Exact error analysis for decode and forward cooperation with maximal ratio combining
Author_Institution :
4A/42, Sector-5, Bhilai, India 490006
Abstract :
In this paper, we provide exact expressions for the bit error rate (BER) for single relay maximal ratio combining (MRC) based decode and forward (DF) cooperative systems in Nakagami-m fading. This is done by expressing the decision variable as a sum of gamma conditionally Gaussian (CG) random variables. The characteristic function (CF) of gamma CG variables is then derived and used to obtain the BER expressions using the Gil-Pelaez inversion formula. A tight closed form approximation for the BER is also derived and used to obtain the diversity order. Numerical results, including simulations, are provided to verify the validity of the derived analytical expressions.
Keywords :
Gaussian processes; Nakagami channels; decode and forward communication; error analysis; error statistics; Gil-Pelaez inversion formula; Nakagami-m fading; bit error rate expression; characteristic function; closed form approximation; decode and forward cooperative system; exact error analysis; gamma conditional Gaussian random variable; single relay maximal ratio combining; Approximation methods; Bit error rate; Cooperative systems; Diversity reception; Fading; Relays; Signal to noise ratio; DF Cooperative diversity; MRC; gamma conditionally Gaussian;
Conference_Titel :
Communications (NCC), 2011 National Conference on
Conference_Location :
Bangalore
Print_ISBN :
978-1-61284-090-1
DOI :
10.1109/NCC.2011.5734769
