Enforcing a minimum-phase condition on an arbitrary one-dimensional signal with application to a two-dimensional phase retrieval problem

We consider the problem of making a minimum phase signal from an arbitrary one-dimensional signal by adding a point signal and its application to a two-dimensional phase retrieval problem. In particular, we show that a two-dimensional phase retrieval problem can be decomposed into several one-dimensional phase retrieval problems so that a M×N two-dimensional signal can be reconstructed from its Fourier transform magnitude by solving min {M, N}+2 one dimensional phase retrieval problems