Signal reconstruction from phase only information and application to blind system estimation

Abstract

We propose a method for the reconstruction of a com- plex signal from its Fourier phase only, where the phase is known within a linear phase term, and the sequence's length is unknown. The case of the phase known ex- actly has received a lot of attention in the past, how- ever, in most cases the phase can be estimated up to a linear phase term whose slope is unknown. More- over, in most cases of interest, the exact length of the sequence which is to be recovered is unknown. As an application of the reconstruction from phase technique, we propose a method for blind channel identification.