Statistical investigation of sum-of-sinusoids fading channel simulators

Rayleigh fading due to multipath propagation in wireless channels is widely modelled using sum-of-sinusoids simulators. In particular, Jakes´ simulator and derivatives of Jakes´ (1994) simulator have gained widespread acceptance. Despite this, few in-depth studies of the simulators´ statistical behaviours have been reported in the literature. Here, the extent to which Jakes´ simulator adequately models the multipath Rayleigh fading propagation environment is examined. The results show that Jakes´ simulator does not reproduce some important properties of physical fading channels