Limitations of sum-of-sinusoids fading channel simulators

Rayleigh signal fading due to multipath propagation in wireless channels is widely modeled using sum-of-sinusoids simulators.. In particular, Jakes' s imulator and derivatives of Jakes' simulator have gained widespread accepta nce. Despite this, few in-depth studies of the simulators' statistical beha viors have been reported in the literature. Here, the extent to which Jakes ' simulator adequately models the multipath Rayleigh fading propagation env ironment is examined. The results show that Jakes' simulator does not repro duce some important properties of the physical fading channel. Some possibl e improvements to Jakes' simulator are examined. The significances of the n umber and the symmetries of the Doppler frequency shifts on the validity of the simulator's reproduction of the physical fading channel are elucidated .