Abstract
The end-to-end performance of multibranch dual-hop wireless communication systems with nonregenerative relays and equal gain combiner (EGC) at the destination over independent Nakagami-m fading channels is studied. We present new closed form expressions for probability distribution function (PDF) and cumulative distribution function (CDF) of end-to-end signal to noise ratio (SNR) per branch in terms of Meijer's G function. From these results, analytical formulae for the moments of the output SNR, the average overall SNR, the amount of fading, and the spectral efficiency are also obtained in closed form. Instead of using moments-based approach to analyze the asymptotic error performance of the system, we employ the characteristic function (CHF) method to calculate the average bit error probability (ABEP) and the outage probability for several coherent and noncoherent modulation schemes. The accuracy of the analytical formulae is verified by various numerical results and simulations.
Highlights
Wireless relaying systems in which mobile terminals are employed to retransmit information from a source to a destination have attracted great attention as they can provide cooperative diversity [1, 2]
This method employs the Padeapproximants to approximate the truncated series of moment generating function (MGF) from which the average bit error probability (ABEP) and the outage probability Pout are obtained
Meijer’s G function, we provide an alternative expression for the probability distribution function (PDF) of endto-end signal to noise ratio (SNR)
Summary
Wireless relaying systems in which mobile terminals are employed to retransmit information from a source to a destination have attracted great attention as they can provide cooperative diversity [1, 2]. A characteristic function (CHF) approach to study the performance of EGC over Rayleigh channels is proposed in [12,13,14] This idea was later extended to compute the average symbol error rate of a broad class of modulation schemes in different fading environments [15, 16]. A moments-based approach to calculate the performance of equal gain diversity is presented in [17, 18] This method employs the Padeapproximants to approximate the truncated series of MGF from which the average bit error probability (ABEP) and the outage probability Pout are obtained.
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