The common technique to extract amplitude and phase of the complex ele
ctron image wave from off-axis electron holograms is based on a band-p
ass filter that is applied to the spectrum of the hologram; therefore
the carrier frequency of the hologram fringes has to be sufficiently h
igh. The phase-shift method, which is well known from light-optical in
terferometry, uses three holograms each with a specific shift in the l
ateral position of the fringes to reconstruct amplitude and phase in r
eal space, thus avoiding the need for fine hologram fringes. Neural ne
tworks are used for the reconstruction of the image wave and compared
in performance with the analytical method.