Sparsity based super-resolution in optical measurements

Yoav Shechtman, Alexander Szameit, Eliyahu Osherovich, Pavel Sidorenko, Oren Cohen, Yonina C. Eldar, Mordechai Segev

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We propose and experimentally demonstrate a method of exploiting prior knowledge of a signal's sparsity to perform super-resolution in various optical measurements, including: single-shot sub-wavelength Coherent Diffractive Imaging (CDI), i.e. algorithmic object reconstruction from Fourier amplitude measurements, and ultra-fast pulse measurement, i.e. exceeding the temporal resolution imposed by the rise time of the photodiode. The prior knowledge of the signal's sparsity compensates for the loss of phase information and the loss of high spatial frequencies in the case of CDI, and for the loss of temporal frequencies accompanying the photodiode measurement process.

Original languageEnglish
Title of host publication2013 5th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2013
Pages204-207
Number of pages4
DOIs
StatePublished - 2013
Externally publishedYes
Event2013 5th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2013 - Saint Martin, France
Duration: 15 Dec 201318 Dec 2013

Publication series

Name2013 5th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2013

Conference

Conference2013 5th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2013
Country/TerritoryFrance
CitySaint Martin
Period15/12/1318/12/13

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