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The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by researchers from the Department of Computer & Information Sciences involved in mathematically structured programming, similarity and metric search, computer security, software systems, combinatronics and digital health.

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Inversion of spectroscopic measurements for extracting particle size distribution

Pariset, Carlo and Thennadil, Suresh (2009) Inversion of spectroscopic measurements for extracting particle size distribution. In: 6th International Multi-Conference on Systems, Signals & Devices, 2009-03-23 - 2009-03-26.

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Abstract

Information on the particle size distribution (PSD) of a particulate system is contained in the turbidity measurements. To obtain the PSD from such measurements, the inversion of a Fredholm integral of the first kind is required. To solve this ill-posed problem Tikhonov regularization technique can be used. The central issue in every regularization problem is the choice of an effective regularization parameter and to perform such a choice in a complete automatic way without any inputs from the operator. In this work the PSD of polystyrene spheres in water are estimated from turbidity measurements using a CARY5000 spectrometer. Two formulations for the search of the regularization parameter based on cross-validation are compared and a two-step process integrating the two formulations is investigated.