Copula - to model multi-channel fading by correlated but arbitrary Weibull marginals, giving a closed-form outage probability of selection-combining reception

摘要

This study introduces the mathematical paradigm of 'copula' to the technical field of channel modelling. Copulabased modelling allows each sensor of its distinct set of fading parameters, and allows cross-correlation among various sensors' parameter sets. Hence, the branch statistics may be non-identical over various branches, yet cross-correlated between branches. This scenario is realistic especially for sensors of different polarisations/constructions and/or for sensors at widely separate locations-as increasingly common for wireless transceivers. Despite such versatility in modelling, this copula-based multivariate fading distribution may yet be so simple in mathematical form that the system's outage probability can be analytically derived in a closed form, free of any infinite-term summation and free of any unsolved integration.