Wavelet phase retrieval for bandlimited functions
The term phase retrieval indicates a large class of problems in which one seeks to recover a signal from phaseless measurements. In particular, wavelet phase retrieval consists of recovering a signal from the magnitudes of its wavelet coefficients. We consider real-valued bandlimited functions and we derive new uniqueness results for phase retrieval, where the wavelet itself can be complex-valued. In particular, we establish the first uniqueness result for wavelet phase retrieval from samples when the wavelet coefficients are complex-valued.