Uniqueness of phase retrieval with short-time linear canonical transform

Abstract

In this paper, we study the problem of phase retrieval with short-time linear canonical transform (STLCT). The relation between signal, window and their STLCT is provided through Fourier transform. Based on this theorem, a uniqueness result is established for all square integrable functions. For nonseparable real continuous signal, we prove the uniqueness theorems under some weaker conditions. In complex bandlimited and cardinal [Formula: see text]-spline spaces, uniqueness results are provided with magnitude-only STLCT.