Uniqueness of STFT phase retrieval in shift-invariant spaces

Abstract

In this paper, we consider the problem of phase retrieval from short-time Fourier transform (STFT) intensity measurements. A uniqueness result is established for nonseparate real-valued continuous signals under some assumption of window. For real signals in shift-invariant spaces (SIS), we provide uniqueness theorems for both separable and nonseparable signals. For complex signals, we prove a uniqueness result in cardinal B-spline spaces from magnitude-only samples.