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.
Original language | English |
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Pages | 1046-1050 |
DOIs | |
Publication status | Published - 19 May 2009 |
Event | 6th International Multi-Conference on Systems, Signals & Devices - Djerba , Tunisia Duration: 23 Mar 2009 → 26 Mar 2009 |
Conference
Conference | 6th International Multi-Conference on Systems, Signals & Devices |
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Country/Territory | Tunisia |
City | Djerba |
Period | 23/03/09 → 26/03/09 |
Keywords
- generalized cross validation
- regularization parameter
- Tikhonov regularization
- turbidity
- Fredholm integral equations
- particle size measurement
- spectrometers
- spectroscopy