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Sparsity and Super-Resolution

Rethinking Super-resolution: The Bandwidth Selection Problem


Super-resolution is the art of recovering spikes from their low-pass projections. Over the last decade specifically, several significant advancements linked with mathematical guarantees and recovery algorithms have been made. Most super-resolution algorithms rely on a two-step procedure: deconvolution followed by high-resolution frequency estimation. However, for this to work, exact bandwidth of low-pass filter must be known; an assumption that is central to the mathematical model of super-resolution.

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Authors:
Dmitry Batenkov, Ayush Bhandari, Thierry Blu
Submitted On:
10 May 2019 - 11:17pm
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[1] Dmitry Batenkov, Ayush Bhandari, Thierry Blu, "Rethinking Super-resolution: The Bandwidth Selection Problem", IEEE SigPort, 2019. [Online]. Available: http://sigport.org/4430. Accessed: Aug. 25, 2019.
@article{4430-19,
url = {http://sigport.org/4430},
author = {Dmitry Batenkov; Ayush Bhandari; Thierry Blu },
publisher = {IEEE SigPort},
title = {Rethinking Super-resolution: The Bandwidth Selection Problem},
year = {2019} }
TY - EJOUR
T1 - Rethinking Super-resolution: The Bandwidth Selection Problem
AU - Dmitry Batenkov; Ayush Bhandari; Thierry Blu
PY - 2019
PB - IEEE SigPort
UR - http://sigport.org/4430
ER -
Dmitry Batenkov, Ayush Bhandari, Thierry Blu. (2019). Rethinking Super-resolution: The Bandwidth Selection Problem. IEEE SigPort. http://sigport.org/4430
Dmitry Batenkov, Ayush Bhandari, Thierry Blu, 2019. Rethinking Super-resolution: The Bandwidth Selection Problem. Available at: http://sigport.org/4430.
Dmitry Batenkov, Ayush Bhandari, Thierry Blu. (2019). "Rethinking Super-resolution: The Bandwidth Selection Problem." Web.
1. Dmitry Batenkov, Ayush Bhandari, Thierry Blu. Rethinking Super-resolution: The Bandwidth Selection Problem [Internet]. IEEE SigPort; 2019. Available from : http://sigport.org/4430

Poster for SUPER-RESOLUTION RESULTS FOR A 1D INVERSE SCATTERING PROBLEM


In this work we consider the one-dimensional (1D) inverse scattering problem of super-resolving the location of discrete point scatters satisfying the 1D Helmholtz equation. This inverse problem has important applications in the detection of shunt faults in electrical transmission lines and leaks in water pipelines where usually only low frequency spectral information is available from measurements. We formulate the inverse scattering problem as a sparse reconstruction problem and apply convex optimization to super-resolve the location of point scatters.

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Authors:
Wenjie Wang, Yue Li, Zhao Li, Ross Murch
Submitted On:
6 May 2019 - 10:31pm
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wwangbk_ICASSP_SP_poster.pdf

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[1] Wenjie Wang, Yue Li, Zhao Li, Ross Murch, "Poster for SUPER-RESOLUTION RESULTS FOR A 1D INVERSE SCATTERING PROBLEM", IEEE SigPort, 2019. [Online]. Available: http://sigport.org/3918. Accessed: Aug. 25, 2019.
@article{3918-19,
url = {http://sigport.org/3918},
author = {Wenjie Wang; Yue Li; Zhao Li; Ross Murch },
publisher = {IEEE SigPort},
title = {Poster for SUPER-RESOLUTION RESULTS FOR A 1D INVERSE SCATTERING PROBLEM},
year = {2019} }
TY - EJOUR
T1 - Poster for SUPER-RESOLUTION RESULTS FOR A 1D INVERSE SCATTERING PROBLEM
AU - Wenjie Wang; Yue Li; Zhao Li; Ross Murch
PY - 2019
PB - IEEE SigPort
UR - http://sigport.org/3918
ER -
Wenjie Wang, Yue Li, Zhao Li, Ross Murch. (2019). Poster for SUPER-RESOLUTION RESULTS FOR A 1D INVERSE SCATTERING PROBLEM. IEEE SigPort. http://sigport.org/3918
Wenjie Wang, Yue Li, Zhao Li, Ross Murch, 2019. Poster for SUPER-RESOLUTION RESULTS FOR A 1D INVERSE SCATTERING PROBLEM. Available at: http://sigport.org/3918.
Wenjie Wang, Yue Li, Zhao Li, Ross Murch. (2019). "Poster for SUPER-RESOLUTION RESULTS FOR A 1D INVERSE SCATTERING PROBLEM." Web.
1. Wenjie Wang, Yue Li, Zhao Li, Ross Murch. Poster for SUPER-RESOLUTION RESULTS FOR A 1D INVERSE SCATTERING PROBLEM [Internet]. IEEE SigPort; 2019. Available from : http://sigport.org/3918