Polarization based phase retrieval for time-frequency structured measurements

Abstract

We consider phaseless measurements in the case when the measurement frame is a Gabor frame, that is, the frame coefficients are of the form of masked Fourier coefficients where the masks are time shifts of the Gabor window. This makes measurements meaningful for applications, but at the same time preserves the flexibility of the frame-theoretic approach. We are going to present a recovery algorithm which requires a sufficiently small number of measurements; it is based on the idea of polarization, which is proposed by Alexeev, Bandeira, Fickus and Mixon [1], [4].

Keywords

Discrete Mathematics and Combinatorics, Signal Processing, Statistics and Probability

Citation

Salanevich, P & Pfander, G E 2015, Polarization based phase retrieval for time-frequency structured measurements. in 2015 International Conference on Sampling Theory and Applications (SampTA)., 7148877, IEEE, pp. 187-191, 11th International Conference on Sampling Theory and Applications, SampTA 2015, Washington, United States, 25/05/15. https://doi.org/10.1109/SAMPTA.2015.7148877, conference