eprintid: 498 rev_number: 4 eprint_status: archive userid: 5 dir: disk0/00/00/04/98 datestamp: 2011-08-04 lastmod: 2013-07-01 11:23:49 status_changed: 2013-07-01 11:23:49 type: techreport metadata_visibility: show item_issues_count: 0 creators_name: Franceschini, Gabriele creators_name: Massa, Andrea title: An Unsupervised Strategy Based on a Fuzzy-Logic System for the Exploitation of the Information Content of Noisy Data in Inverse Scattering Problems ispublished: pub subjects: TU full_text_status: public abstract: Inverse scattering data, although collected in a controlled-environment, are generally corrupted by an electromagnetic noise, which strongly affects the effectiveness of reconstruction strategies because of the intrinsic ill-conditioning of the problem. To limit the effects of the noise on the retrieval procedure, this paper presents an innovative fuzzy-logic-based approach, which allows one to take into account the corrupted nature of the data by fully exploiting all the available information content of the measurements. Selected numerical experiments in a noisy scenario are considered for assessing the potentialities of the approach also in comparison with a reference inverse scattering technique. This is the author's version of the final version available at IEEE. date: 2011-01 date_type: published institution: University of Trento department: informaticat refereed: FALSE referencetext: [1] O.M. Bucci and G. Franceschetti, “On the degrees of freedom of scattered fields,” IEEE Trans. Antennas Propagat., vol. 37, pp. 918-926, Jul. 1989. O.M. Bucci and T. Isernia, “Electromagnetic inverse scattering: Retrievable [2] information and measurement strategies,” Radio Sci., vol. 32, pp. 2123-2138, Nov.- Dec. 1997. S. Caorsi, M. Donelli, D. Franceschini, and A. Massa, “A new methodology based [3] on an iterative multiscaling for microwave imaging,” IEEE Trans. Microwave theory Tech., vol. 51, pp. 1162-1173, Apr. 2003. [4] A. Baussard, E. Miller, and D. Lesselier, “Adaptive multiscale reconstruction of buried objects,” Inverse Problems, vol. 20, pp. 1-16, Dec. 2004. O. M. Bucci, L. Crocco, T. Isernia, and V. Pascazio, “Subsurface inverse scattering [5] problems: Quantifying qualifying and achieving the available information,” IEEE Tran. Geosci. Remote Sensing, vol. 39, pp. 2527-2537, Nov. 2001. L. A. Zadeh, “Fuzzy Sets,” Information and Control, vol. 8, pp. 338-353, 1965. [6] J. H. Richmond, “Scattering by a dielectric cylinder of arbitrary cross section [7] shape,” IEEE Trans. Antennas Propagat., vol. 13, pp. 334-341, 1965. citation: Franceschini, Gabriele and Massa, Andrea (2011) An Unsupervised Strategy Based on a Fuzzy-Logic System for the Exploitation of the Information Content of Noisy Data in Inverse Scattering Problems. [Technical Report] document_url: http://www.eledia.org/students-reports/498/1/DISI-11-274.C91.pdf