The phase retrieval problem for the Radar Ambiguity Function and vice versa

The first part of this note is based on a joint paper with A. Bonami and G. Garrigós [3] in which the phase retrieval problem for the Radar Ambiguity Function (i.e. the Radar Ambiguity Problem) has been tackled. In particular it was shown that for wide classes of signals, the radar ambiguity problem has a unique solution, up to trivial transformations. In the second part of this note, we report on ongoing work by the author where the radar ambiguity function is used as a tool to solve other phase retrieval problems.