Digital Lensless Fourier Holography setup for recording and reconstructing object is presented. By using optical fiber of high numerical aperture, almost-perfect spherical reference wave can be acquired. Pre-imaging method is used to enlarge the view-field of object. Speckle noise as multiplicative noise in digital holography can be transformed to additive noise through homomorphic transform. Median ﬁltering algorithm is successfully used to reduce speckle noise.