Uniqueness guarantees for phase retrieval from discrete windowed special affine Fourier transform

Abstract In this paper, we discuss the problem of phase retrieval in discrete windowed special affine Fourier transform domain, i.e., the problem of recovering a signal from the magnitudes of discrete windowed special affine Fourier transform. We first provide some appropriate conditions under which discrete windowed special affine Fourier transform allows phase retrieval. Then above conditions can be weaken for non-vanishing signals. Finally, the results of numerical simulations illustrate our theoretical analysis and provide some directions for future work.