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The outage performance of a receiver operating over the gamma shadowed Weibull multipath fading channel in the presence of a co-channel interference is determined. The novel analytical expressions for the probability density function, cumulative distribution function and moment generating function of the system's signal-to-interference ratio (SIR) are derived. The outage probability dependence on shadowing spread, multipath fading severity and average SIR are determined. The analytical results are confirmed by simulations.
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Introduction: One of the most important concerns in various wireless communication channels is the simultaneous impact of fading and sha- dowing phenomena [1]. Fading exists due to multipath propagation and is often modelled by Rayleigh, Ricean, Nakagami-m and Weibull distri- butions. The random fluctuations of the average signal power caused by ambient objects lead to shadowing, often modelled by the lognormal distribution [1]. The composite fading models based on the lognormal distribution describing shadowing are very inconvenient for perform- ance evaluations considering the unavailable closed-form solution of those distributions [2], [3]. The gamma distribution was proposed as a good fit to the lognormal distribution and a good solution for the analyti- cal evaluations. For example, K and generalised-K distributions that were exploited in the literature [2, 3], confirmed the validity of the com- posite Rayleigh/gamma and Nakagami-m/gamma fading models, respectively. Beside the Rayleigh and Nakagami-m distributions, the Weibull distribution is often utilised for describing the multipath fading statistics [4].In[4], Bithas determined the probability density function (PDF), cumulative distribution function (CDF), moment gener- ation function (MGF) and moments of the Weibull-gamma (WG) distri- bution. The outage performance of a receiver operating over the noise- limited channel was determined. However, in a microcellular personal communication system, which has short frequency reuse distance, the outage is primarily caused by the co-channel interference (CCI) [3]. In this Letter, we first derive a novel formula for the PDF of the WG fading envelope, which is alternative to that previously presented [4, eqn. (4)]. Further, novel analytical formulae for the PDF, CDF and MGF of the signal-to-interference ratio (SIR) are derived. On the basis of these formulae, a brief outage performance analysis of the proposed system over the composite WG fading channel is performed. The analytical results are confirmed by Monte Carlo simulations.
WG...