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Compressed sensing and differential measurements in interferometry
Author(s): Pulak Sarangi; Piya Pal
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Paper Abstract

In this paper, we propose and analyze a new compressive Fourier phase retrieval (PR) technique based on differential measurement, that can provably recover sparse signals with O(s polylog N) phase-less measurements. This measurement technique is easily implementable using interferometric techniques like Holography and Frequency Domain Optical Coherence Tomography. The proposed l1 minimization based recovery is able to achieve the same reconstruction quality as some of the popular PR algorithms with far fewer measurements.

Paper Details

Date Published: 14 May 2018
PDF: 7 pages
Proc. SPIE 10658, Compressive Sensing VII: From Diverse Modalities to Big Data Analytics, 1065806 (14 May 2018); doi: 10.1117/12.2310151
Show Author Affiliations
Pulak Sarangi, Univ. of California, San Diego (United States)
Piya Pal, Univ. of California, San Diego (United States)


Published in SPIE Proceedings Vol. 10658:
Compressive Sensing VII: From Diverse Modalities to Big Data Analytics
Fauzia Ahmad, Editor(s)

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