A three-dimensional holographic image is deteriorated due to quantization of the phase in the hologram. As in two-dimensional Fourier holograms, the deterioration is exhibited as a superposition of false images. However, in the three-dimensional case, the false images fall at depth positions other than the plane of the image to which they correspond. If far out of focus, these false images are harmless.
W. J. Dallas and A. W. Lohmann, "Phase Quantization in Holograms—Depth Effects," Appl. Opt. 11, 192-194 (1972)