  We extend the wide-sense spatial stationarity concept of coherence holography
in the regime of phase-space using the wigner distribution function. We focus
mainly on the incoherent light source and the Fourier and Fresnel propagation
kernels for the optical-field transformation rule (inputoutput relation) and
derive the same analogy in WDF. We further show that in phase-space the WDF
obtained from the ensemble-averaged and space-averaged coherence functions are
the same. Finally, we interpret behaviour of these results through numerical
simulations.
