rima_alaifari_2017-about

13. November 2018


11.00 o'clock,
Seminar Room, Wohllebengasse 12-14 / Ground Floor 

Stability analysis for phase retrieval - Rima Alaifari

Abstract: Stability analysis for phase retrieval 
Rima Alaifari, Department of Mathematics, ETH Zürich
 
In phase retrieval problems, a signal is sought to be reconstructed from only the magnitudes of a set of complex measurements. The missing information of the phase of the measurements severely obstructs the signal reconstruction.We study this problem in the setting where the signal belongs to an infinite-dimensional Hilbert space. This problem is inherently unstable, i.e. highly sensitive to noise in the measurements. We show that in some sense this property is independent of the redundancy of the measurements. However, the instabilities observed in practice are all of a certain type. Motivated by this observation, we introduce a new paradigm for stable phase retrieval.We demonstrate that in audio processing applications this new notion of stability is natural and meaningful and that in this new setting stability holds for certain measurement systems. This is joint work with I. Daubechies (Duke University), P. Grohs (University of Vienna) and R. Yin (Duke University).
 
 

Upcoming Events

ARI Guest TALK: Automatic Transformation of Empirical Data Distribution as an Experimental Pre-Processing Step for Neural Networks

21. November 2018

ARI TALK
14.30 o'clock,
ARI Seminar Room, Wohllebengasse 12-14, Groundfloor

Automatic Transformation of Empirical Data Distribution as an Experimental Pre-Processing Step for Neural Networks - Pavol Harar
Read more ...
 

ARI Guest TALK: Acoustic Analysis of Speech and Voice Disorders in Parkinson’s Disease: a Decision Support and Monitoring Tool

https://scholar.google.de/citations?view_op=view_photo&user=VRKoUZwAAAAJ&citpid=5

21. November 2018

ARI TALK
15.15 o'clock,
ARI Seminar Room, Wohllebengasse 12-14, Groundfloor

Acoustic Analysis of Speech and Voice Disorders in Parkinson’s Disease: a Decision Support and Monitoring Tool - Jiri Mekyska
Read more ...
 

ARI Guest TALK: A guided tour of the human vocal scenery

27. November 2018

ARI TALK
14.00 o'clock,
ARI Seminar Room, Wohllebengasse 12-14, Groundfloor

A guided tour of the human vocal scenery - Jean Schoentgen
Read more ...
 

SSW10

SSW10 - The 10th
ISCA Speech Synthesis Workshop

20. - 22. September 2019

Vienna, Austria

 

News