UCL Discovery
UCL home » Library Services » Electronic resources » UCL Discovery

Expectation maximization and the retrieval of the atmospheric extinction coefficients by inversion of Raman lidar data

Garbarino, S; Sorrentino, A; Massone, AM; Sannino, A; Boselli, A; Wang, X; Spinelli, N; (2016) Expectation maximization and the retrieval of the atmospheric extinction coefficients by inversion of Raman lidar data. Optics Express , 24 (19) pp. 21497-21511. 10.1364/OE.24.021497. Green open access

[thumbnail of Garbarino_Expectation_maximization_retrieval.pdf]
Preview
Text
Garbarino_Expectation_maximization_retrieval.pdf - Accepted Version

Download (711kB) | Preview

Abstract

We consider the problem of retrieving the aerosol extinction coefficient from Raman lidar measurements. This is an ill–posed inverse problem that needs regularization, and we propose to use the Expectation–Maximization (EM) algorithm to provide stable solutions. Indeed, EM is an iterative algorithm that imposes a positivity constraint on the solution, and provides regularization if iterations are stopped early enough. We describe the algorithm and propose a stopping criterion inspired by a statistical principle. We then discuss its properties concerning the spatial resolution. Finally, we validate the proposed approach by using both synthetic data and experimental measurements; we compare the reconstructions obtained by EM with those obtained by the Tikhonov method, by the Levenberg-Marquardt method, as well as those obtained by combining data smoothing and numerical derivation.

Type: Article
Title: Expectation maximization and the retrieval of the atmospheric extinction coefficients by inversion of Raman lidar data
Open access status: An open access version is available from UCL Discovery
DOI: 10.1364/OE.24.021497
Publisher version: https://doi.org/10.1364/OE.24.021497
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Science & Technology, Physical Sciences, Optics, Elastic-backscatter Lidar, Planetary Boundary-layer, Aerosol Extinction, Earlinet Project, Particle Parameters, Profiles, Framework, Algorithm, Ratio, Regularization
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
URI: https://discovery.ucl.ac.uk/id/eprint/1531426
Downloads since deposit
85Downloads
Download activity - last month
Download activity - last 12 months
Downloads by country - last 12 months

Archive Staff Only

View Item View Item