Have the stochastic following process f(t) been studied in mathematics ?
It is stationary, Gaussian, f(t) - complex independent Gaussians N(0,1).
The autocorrelation is given by the
 zeroth-order Bessel function of the first kind: $J_{0} (\tau)$.

In radio wave propagation it is called [Rayleigh fading][1] or sometimes Jakes fading model.
And it is often used in signal processing.
So I wonder that it might be some studies of this process in mathematics,
which might give me some new point of view on it.


  [1]: http://en.wikipedia.org/wiki/Jakes_fading_model