On the cascaded Weibull fading channel model |
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Authors: | Nikos C. Sagias |
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Affiliation: | a Institute of Informatics and Telecommunications, National Centre for Scientific Research-“Demokritos”, Agia Paraskevi, GR-15310 Athens, Greece b Laboratory of Electronics, Department of Physics, University of Athens, Panepistimiopolis, Zografou, GR-15784 Athens, Greece |
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Abstract: | A new stochastic fading channel model called cascaded Weibull fading is introduced and the associated capacity is derived in closed form. This model is generated by the product of independent, but not necessarily identically distributed, Weibull random variables (RVs). By quantifying the convergence rate of the central limit theorem as pertaining to the multiplication of Weibull distributed RVs, the statistical basis of the lognormal distribution is investigated. By performing Kolmogorov-Smirnov tests, the null hypothesis for this product to be approximated by the lognormal distribution is studied. Another null hypothesis is also examined for this product to be approximated by a Weibull distribution with properly adjusted statistical parameters. |
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Keywords: | Fading channels Weibull distribution Lognormal distribution Cascaded fading Shannon capacity Kolmogorov-Smirnov test Central limit theorem (CLT) Stochastic models Product of variates |
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