“…[6] Cross-correlation function C(x 1 ,x 2 ,t) of time series of random diffuse noise p(x,t) recorded at points x 1 and x 2 is theoretically predicted to reproduce wavefronts of the sum of two deterministic Green's functions (impulse responses of the medium): a field G(x 2 ,x 1 ,t) radiated by a point source at x 1 and received at x 2 and G(x 1 ,x 2 ,−t); that is, time reversal of the field propagating from x 2 to x 1 [Rickett and Claerbout, 1999;Godin, 2006;Wapenaar et al, 2008]. For the wavefronts' reproduction, unlike reproduction of the exact Green's functions, the noise field is not required to be perfectly diffuse (i.e., isotropic and spatially uniform) [Snieder, 2004;Godin, 2006]; noise sources are not required to be delta-correlated or motionless [Godin, 2009a].…”