Compressed sensing and differential measurements in interferometry

Pulak Sarangi; Piya Pal

doi:10.1117/12.2310151

14 May 2018 Compressed sensing and differential measurements in interferometry

Pulak Sarangi, Piya Pal

Proceedings Volume 10658, Compressive Sensing VII: From Diverse Modalities to Big Data Analytics; 1065806 (2018) https://doi.org/10.1117/12.2310151
Event: SPIE Commercial + Scientific Sensing and Imaging, 2018, Orlando, FL, United States

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.

Conference Presentation

Citation Download Citation

Pulak Sarangi and Piya Pal "Compressed sensing and differential measurements in interferometry", Proc. SPIE 10658, Compressive Sensing VII: From Diverse Modalities to Big Data Analytics, 1065806 (14 May 2018); https://doi.org/10.1117/12.2310151

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