Phaseless super-resolution in the continuous domain

Myung Cho; Christos Thrampoulidis; Weiyu Xu; Babak Hassibi

doi:10.1109/ICASSP.2017.7952870

Back

Conference proceeding

Phaseless super-resolution in the continuous domain

Myung Cho, Christos Thrampoulidis, Weiyu Xu and Babak Hassibi

2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp.3814-3818

03/2017

DOI: 10.1109/ICASSP.2017.7952870

View Online

Abstract

Phaseless super-resolution refers to the problem of super-resolving a signal from only its low-frequency Fourier magnitude measurements. In this paper, we consider the phaseless super-resolution problem of recovering a sum of sparse Dirac delta functions which can be located anywhere in the continuous time-domain. For such signals in the continuous domain, we propose a novel Semidefinite Programming (SDP) based signal recovery method to achieve the phaseless super-resolution. This work extends the recent work of Jaganathan et al. [1], which considered phaseless super-resolution for discrete signals on the grid.

Atomic measurements

atomic norm

continuous domain

Frequency measurement

Image resolution

Indexes

microscopy

Phase measurement

phaseless

Signal resolution

Standards

super-resolution

Details

Title: Subtitle: Phaseless super-resolution in the continuous domain
Creators: Myung Cho - University of Iowa
Christos Thrampoulidis - California Institute of Technology
Weiyu Xu - University of Iowa
Babak Hassibi - California Institute of Technology
Resource Type: Conference proceeding
Publication Details: 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp.3814-3818
Publisher: IEEE
DOI: 10.1109/ICASSP.2017.7952870
ISSN: 1520-6149
eISSN: 2379-190X
Language: English
Date published: 03/2017
Academic Unit: Electrical and Computer Engineering
Record Identifier: 9984197166202771

Metrics

13 Record Views