In this correspondence, we present new results on the reconstruction of two-dimensional signals from zero crossing or threshold crossing information. Specifically, we develop new theoretical results which state conditions under which two-dimensional bandlimited signals are uniquely specified to within a scale factor with this information. Unlike previous results in this area, our new results do not constrain the signals to be periodic or bandpass. 'Globally irreducible, in the terminology of [11]-[13] and others.
In this paper, we present new results on the reconstruction of signals from one bit of Fourier transform phase, defined as th.e sign of the real part of the Fourier transform. Specifically, we develop a new theoretical result which shows that most twodimensioral signals can in fact be reconstructed to within a scale factor from only one bit of FT phase. Experimental results showing images reconstructed from one hit of FT phase are also presented.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.