Partial reconstruction of phase of interference pattern based on a generalized discrete Fourier transform

This paper presents a novel algorithm for partial reconstruction of the phase of an interference pattern. In multi-pulse train interferometers, the exact determination of the zero crossing position of the phase of interference fringes is important. The proposed algorithm is based on the chirp Z-transform instead of discrete Fourier transform and avoids the estimation of the whole wrapped phase of the interference pattern. In addition, to the best of our knowledge, this is the first reported method for partial reconstruction of the wrapped phase for interference fringe analysis in a pulse-train interferometer.