Special Session 97: New Advances in Structured Signal Recovery

Uniqueness of STFT Phase Retrieval for wide band functions

Kasso Okoudjou
Tufts University
USA
Co-Author(s):    Shuang Guan and Kasso Okoudjou
Abstract:
We consider the phase retrieval problem for the short-time Fourier transform (STFT). We establish new results on the reconstruction of wide-band signals up to a global phase factor from only the magnitude of their measurements in the time-frequency domain. The proof of our main result relies on the factorization of functions in the Hardy space on the unit disk, the fractional short-time Fourier transform, and an identity theorem for holomorphic functions.