Abstract
Ratio of products of mixture gamma variates with applications to wireless communications systems
Highlights
The performance of several practical wireless communications systems can be analysed via using different approaches of fading conditions [1,2,3,4,5,6,7,8,9,10]
To the best of the authors knowledge, both the effective rate (ER) and average area under the receiver operating characteristics (AUC) of energy detection (ED) over cascaded fading channels have not been yet investigated in the literature. ∙ Utilising the cumulative distribution function (CDF) of the ratio of products to analyse the outage probability (OP) of multihop communications systems with DF relaying protocol and subject to multiple interferes as well as the secure outage probability (SOPL), and probability of non-zero secrecy capacity (PNSC) of the physical layer security (PLS)
In contrast to [40] in which the SOPL and PNSC over Beaulieu–Xie fading are expressed in terms of infinite series, our derived results are given in simple closed-form expressions
Summary
The performance of several practical wireless communications systems can be analysed via using different approaches of fading conditions [1,2,3,4,5,6,7,8,9,10]. Two different expressions of the statistics of non-identical cascaded α − μ fading channels were given in [20] and [21] in terms of the Fox’s H -function (FHF) and utilised in the analysis of the OP and ABEP, and the average secrecy capacity (ASC), lower bound of secure outage probability (SOPL) and probability of non-zero secrecy capacity (PNSC) of the PLS, respectively. A MG distribution has been widely employed to approximate with high accuracy most of the conventional fading models, for example, Rayleigh, Nakagami-m, Nakagami-q (Hoyt), and Nakagami-n (Rician) as well as the generalised composite fading channels, such as, generalisedK (KG ), α − μ/gamma, κ − μ/gamma, and η − μ/gamma To this end, unified simple closed-form mathematically tractable expressions of the fundamental statistics of the product and the ratio of the products that can be used for a wide range of noncomposite and composite fading conditions of the realistic wireless communication transmission systems are obtained. Wireless communication systems Wireless communication systems PLS PLS MRC and SC with i.i.d. branches MRC and SC with i.n.d. branches
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