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. (https://doi.org/10.1109/SSD.2009.4956810)

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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.

  • Item type:Conference or Workshop Item(Paper)
    ID code:35533
    Dates:
    Date
    Event
    19 May 2009
    Published
    Keywords:generalized cross validation, regularization parameter, Tikhonov regularization, turbidity, Fredholm integral equations , particle size measurement , spectrometers , spectroscopy , Chemical engineering
    Subjects:Technology > Chemical engineering
    Department:Faculty of Engineering > Chemical and Process Engineering
    Depositing user: Pure Administrator
    Date deposited:01 Nov 2011 17:41
    Last modified:28 Jan 2023 03:22
    URI:https://strathprints.strath.ac.uk/id/eprint/35533
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