Average sampling of band-limited stochastic processes
  We consider the problem of reconstructing a wide sense stationary band-limited process from its local averages taken either at the Nyquist rate or above. As a result, we obtain a sufficient condition under which average sampling expansions hold in mean square and for almost all sample functions. Truncation and aliasing errors of the expansion are also discussed. 
Gilles Fa\"y and Sinuk Kang
cs.IT math.IT