Conference Paper

Performance Analysis of Dual Hop Relaying over Non-Identical Weibull Fading Channels

Fac. of Eng. & Appl. Sci., Memorial Univ. of Newfoundland, St. John's, NL
DOI: 10.1109/VETECS.2009.5073778 Conference: Proceedings of the 69th IEEE Vehicular Technology Conference, VTC Spring 2009, 26-29 April 2009, Hilton Diagonal Mar, Barcelona, Spain
Source: DBLP


In this paper, we present closed form expressions for tight lower bounds of the performance of dual-hop non- regenerative relaying over independent non-identical Weibull fading channels. Since it is hard to find a closed form expression for the probability density function (PDF) of the signal-to-noise ratio (SNR) for the Weibull fading distribution, we use an approximate value instead. Novel closed form expressions for the PDF, outage probability and the moments of the approximate value of the SNR at the destination are derived. Also, the average SNR and amount of fading are determined. Moreover, closed form expressions (in terms of the tabulated Meijer's G-function) are found for the average symbol error probability (for several modulations schemes) as well as the Shannon capacity. It should be noted that the Meijer's G-function is widely available in many scientific software packages, such as MATHEMATICAL and MAPLEreg. Finally, simulations results are also shown to verify the analytical results.

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Available from: Mohamed Hossam Ahmed, Sep 11, 2014
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    • "In [8], the author derived bounds for the performance metrics of multi-hop systems with blind non-regenerative relays over i.n.i.d Rice, Nakagami-m and Hoyt fading channels. The end to end SNR of dual-hop system with non-regenerative relays operating over i.n.i.d Weibull fading channels has been approximated in [9]. Moreover, the authors provided closed form expressions for the statistics of the approximated SNR, outage probability, and average symbol error rate of several modulation schemes. "
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    ABSTRACT: In this paper, we consider a dual hop wireless communication system with a non-regenerative relay and study its performance over the α–μ fading channel. Specifically, we derive closed-form expressions for the moment generating function (MGF), the cumulative distribution function (CDF), and the probability density function (PDF) of the harmonic mean of the end-to-end signal-to-noise ratio (SNR) assuming the α–μ fading model. We also derive closed-form expressions for the end-to-end capacity and outage capacity of the system herein. The obtained expressions can be reduced to study the performance of dual hop communication systems over other fading channel models by using the proper values for the α and μ parameters, such as Rayleigh, Nakagami-m, and Weibull fading models. Numerical results are provided for the obtained expressions and conclusion remarks are drawn.
    Full-text · Article · Jan 2013 · Computers & Electrical Engineering
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    • "Understanding the ergodic capacity performance of AF dual-hop relaying systems in various practical environments has been an active area of research. The ergodic capacity of AF dual-hop relaying systems in Rayleigh fading channels was investigated in [4] [5] [6] [7], while the cases of Nakagami-m fading and Weibull fading channels were studied in [8] [9] and [10], respectively. It is also worth mentioning the seminal work of [11] which established a generic Moment Generating Function-based framework for the performance analysis of relaying systems. "
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    ABSTRACT: We investigate the ergodic capacity of amplify-and-forward (AF) dual-hop relaying systems in composite Nakagami-$m$/inverse-Gaussian fading channels. This type of fading, which is known in the literature as ${\cal G}$ fading, has recently attracted increasing research interest due to its ability to better approximate the Nakagami- $m$/lognormal model, compared with the Nakagami- $m$/gamma model. We study both fixed- and variable-gain relaying systems and present analytical upper and lower bounds for the ergodic capacity of dual-hop relaying systems with not necessarily identical hops; these bounds provide an efficient means to evaluate the ergodic capacity of AF dual-hop relaying systems over ${\cal G}$ fading channels. We also establish sufficient conditions for the existence of the bounds, depending on the values of the fading parameters. In both cases, our simulation results demonstrate that the proposed upper and lower bounds remain relatively tight for different fading conditions.
    Full-text · Article · May 2012 · IEEE Transactions on Vehicular Technology
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    • "In parallel, Ikki and Ahmed [8] presented an ergodic capacity upper bound, which originates from [9], for variable-gain dualhop systems in Weibull fading channels, whereas Wu et al. [10] obtained an ergodic capacity upper bound for fixed-gain dual-hop systems in generalized-K fading channels based on Jensen's inequality. Finally, Waqar et al. [11] proposed a general framework for analyzing the ergodic capacity of variablegain multihop relaying systems, although the presented results either apply for identically distributed fading distributions (e.g., Nakagami-m) or rely on the classical moment-based approach of [12]. "
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    ABSTRACT: This paper elaborates on the ergodic capacity of fixed-gain amplify-and-forward (AF) dual-hop systems, which have recently attracted considerable research and industry interest. In particular, two novel capacity bounds that allow for fast and efficient computation and apply for nonidentically distributed hops are derived. More importantly, they are generic since they apply to a wide range of popular fading channel models. Specifically, the proposed upper bound applies to Nakagami- m , Weibull, and generalized- K fading channels, whereas the proposed lower bound is more general and applies to Rician fading channels. Moreover, it is explicitly demonstrated that the proposed lower and upper bounds become asymptotically exact in the high signal-to-noise ratio (SNR) regime. Based on our analytical expressions and numerical results, we gain valuable insights into the impact of model parameters on the capacity of fixed-gain AF dual-hop relaying systems.
    Full-text · Article · Nov 2011 · IEEE Transactions on Vehicular Technology
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