We present a digital method for the compensation of the aberrations appeari
ng when a lensless hologram of a microscopic object is reconstructed. The d
igital hologram of the microscopic object is recorded on a relatively low r
esolution device (CCD sensor). An expansion of the hologram by interpolatio
n of the recorded intensity is performed in order to increase the number of
pixels. For digital reconstruction of the wavefronts the the expanded holo
gram is multiplied by the reference wale followed by simulation of the diff
raction using the Rayleigh-Sommerfeld propagation relation. Experimental re
sults are presented.