Moment generating function-based performance evaluation of amplify-andforward relaying in n?? nakagami fading channels (original) (raw)
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The exact performance of amplify-and-forward (AF) bidirectional relay systems is studied in generalized and versatile Nakagami-m fading channels, where the parameter m is an arbitrary positive number. We consider three relaying modes: two, three, and four time slot bidirectional relaying. Closed form expressions of the moment generating function (MGF), higher order moments of signal-to-noise ratio (SNR), ergodic capacity, and average signal error probability (SEP) are derived, which are different from previous works. The obtained expressions are very concise, easy to calculate, and evaluated instantaneously without a complex summation operation, in contrast to the nested multifold numerical integrals and truncated infinite series expansions used in previous work, which lead to computational inefficiency, especially when the fading parameter m increases. Simulation results corroborate the correctness and tightness of the theoretical analysis.
Performance analysis of amplify-forward relay in mixed Nakagami-m and Rician fading channels
Proceedings - 2010 International Conference on Advanced Technologies for Communications, ATC 2010, 2010
The performance of a dual-hop amplify-and forward relay system is analyzed in terms of outage probability and average symbol error rate. The source-relay and relay destination channels experience mixed fading distributions namely, Rician and Nakagami-m. Analytical expressions for Cumulative Distribution Function (CDF) and Probability Density Function (PDF) of end-end signal-to-noise-ratio (SNR) are derived and confirmed with Monte-Carlo simulation. Approximate lower bound for outage probability is also derived, which becomes tight at high SNR values. The expressions are given in terms of infinite sum series of modified Bessel function, which converges after finite iterations. The derived expressions are valid for different fading scenarios (depending on m factor), and specialize to previously published results for m = 1.
The authors present an alternative moments-based approach for the performance analysis of dual-hop relaying communications systems over generalised fading channels. A unified analytical approach for the computation of the nth moment of the harmonic mean of N ≥ 2 arbitrarily distributed random variables (RVs) is proposed. On the basis of this statistical result, we analyse the outage and the average error rate performance of dual-hop cooperative wireless systems employing amplify-and-forward (AF) relays. Moreover, our newly derived results can be applied to evaluate the average sum rate of AF relaying systems. Extensive numerical and simulation results are presented to substantiate the proposed analysis.
Closed-form error analysis of the non-identical Nakagami-m relay fading channel
IEEE Communications Letters, 2000
We present closed-form expressions for the average bit error probability (ABEP) of BPSK, QPSK and M -QAM of an amplify-and-forward average power scaling dual-hop relay transmission, over non-identical Nakagami-m fading channels, with integer values of m. Additionally, we evaluate in closedform the ABEP under sufficiently large signal-to-noise ratio for the source-relay link, valid for arbitrary m. Numerical and simulation results show the validity of the proposed mathematical analysis and point out the effect of the two hops unbalanced fading conditions on the error performance.
IEEE Transactions on Communications, 2000
This paper investigates the ergodic capacity and outage probability performance of multihop relaying networks subject to independent non-identically distributed Nakagami-m fading. Particularly, we exploit a typical amplify-and-forward relaying system with an arbitrary number of cooperative intermediate relays and no direct link between the source and destination nodes. In our analysis, channel state information is assumed to be known only at the receiving nodes and the cooperative links may have distinct fading parameters and distinct average signal-to-noise ratio (SNR) levels. In this context, a tight closedform upper bound expression for the ergodic capacity is derived. For this, firstly the moment generating function (MGF) of the inverse of the end-to-end SNR is obtained in closed-form. Then, making use of this expression, an upper bound for the ergodic capacity is attained. Thereafter, we investigate the end-to-end outage probability performance of the multihop relaying channels in Nakagami-m fading by making use of the aforementioned MGF expression. Finally, Monte-Carlo simulation results are provided and show the tightness of the proposed bounds.
Asymptotically-Exact Performance Bounds of AF Multi-Hop Relaying over Nakagami Fading
IEEE Transactions on Communications, 2000
A new class of upper bounds on the end-to-end signal-to-noise ratio (SNR) of channel-assisted amplify-andforward (AF) multi-hop ( ≥ 2) relay networks is presented. It is the half-harmonic mean of the minimum of the first ≥ 0 hop SNRs and the minimum of the remaining − hop SNRs. The parameter varies between 0 to and may be chosen to provide the tightest bound. The closed-form cumulative distribution function and moment generating function are derived for independent and non-identically distributed Rayleigh fading and for independent and identically distributed Nakagami-fading, where is an integer. The resulting outage probability and the average symbol error rate bounds are asymptotically-exact. The asymptotic-exactness holds for any 0 ≤ ≤ . As applications, two cases of multi-hop multi-branch relay networks (i) the best branch selection and (ii) maximal ratio combining reception are treated. Numerical results are provided to verify the comparative performance against the existing bounds.
EURASIP Journal on Wireless Communications and Networking, 2011
This article presents an analytical investigation on the performance of interference-limited fixed-gain amplify-andforward dual-hop relaying systems over Nakagami-m fading channels. Assuming the fading parameter m of the two hop channels being integer, we derive a closed-form expression of the cumulative distribution function of a new type of random variables involving a number of independent gamma random variables, based on which, the outage performance and symbol error rate of the system are examined, and two important performance metrics at the high signal-to-noise ratio regime, namely, diversity order and coding gain, are characterized. Moreover, expressions of the general moments of the end-to-end signal-to-interference-and-noise ratio are derived and then applied in the analysis of the ergodic capacity of the system. In addition, the impact of interference power distribution on the ergodic capacity of the system is studied with the aid of a majorization result. Our findings suggest that the diversity of the system is limited by the hop experiencing severer fading, and co-channel interferences do not reduce the diversity order of the system, instead, they degrade the outage performance by affecting the coding gain of the system.
Performance Analysis for Lossy-Forward Relaying Over Nakagami- mmm Fading Channels
IEEE Transactions on Vehicular Technology, 2017
We investigate the performance of three-node lossyforward (LF) relaying over independent block Nakagami-m fading channels. Based on the theorem of source coding with side information, the exact outage probability expression for arbitrary values of the shape factor m is derived under the assumptions of both the Gaussian codebook capacity and the constellation constrained capacity. The difference in outage probability between the two codebook models of capacity is found to be very minor. Furthermore, an accurate high signal-to-noise ratio approximation for the outage probability is obtained. It clearly identifies the equivalent diversity order and coding gain of the LF relaying. It is shown that the LF relaying is superior to conventional decode-and-forward relaying in terms of the outage probability and the-outage achievable rate. Moreover, with the LF relaying, the optimal location for the relay (R), which minimizes the outage probability, is found to be the point having same distance to the source (S) and the destination (D) when the S-R and R-D links experience same level of fading. The accuracy of the analytical results is verified by a series of Monte Carlo simulations.
In this paper, the end-to-end performance of a wireless relay transmission system that employs amplify-and-forward (AF) relays and operates in an interference-limited Nakagami-m fading environment is studied. The wireless links from one relay node to another experience Nakagami-m fading, and the number of interferers per hop is Poisson distributed. The aggregate interference at each relay node is modeled as a shot-noise process whose distribution follows an α-stable process. For the considered system, analytical expressions for the moments of the end-to-end signal-to-interference ratio (SIR), the end-to-end outage probability (OP), the average bit-error probability (ABEP), and the average channel capacity are obtained. General asymptotic expressions for the end-to-end ABEP are also derived. The results provide useful insights regarding the factors affecting the performance of the considered system. Monte Carlo simulation results are further provided to demonstrate the validity of the proposed mathematical analysis.