Myung Cho The Univ. of Iowa (United States) Christos Thramboulidis Massachusetts Institute of Technology (United States) Babak Hassibi California Institute of Technology (United States) Weiyu Xu The Univ. of Iowa (United States)
In phaseless super-resolution, we only have the magnitude information of continuously-parameterized signals in a transform domain, and try to recover the original signals from these magnitude measurements. Optical microscopy is one application where the phaseless super-resolution for 2D signals arise. In this paper, we propose algorithms for performing phaseless super-resolution for 2D or higher-dimensional signals, and investigate their performance guarantees.