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.