Inverse problems in applied harmonic analysis

19.06.2020 09:50 - 10:35

Rima Alaifari (ETH Zürich)

Many signal processing and imaging tasks require the solution of operator equations for which the inverse is unbounded. One family of problems that we consider in this talk gives rise to truncated versions of Fourier multipliers and shares similarities with the Landau-Pollak-Slepian operator. We show the analysis of the spectrum, both qualitatively and asymptotically, and use these results to suggest methods for stable signal recovery.
Another reconstruction problem we present is that of retrieving a signal from only the magnitudes of its frame coefficients. In particular, we consider the case of phaseless measurements of the short-time Fourier transform and ask when unique and stable recovery is possible.

Fakultät für Mathematik
Zoom Meeting