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Lacunarity of Fractal Superlattices: a Remote Estimation using Wavelets

Laksari, Yahia and Aubert, Hervé and Jaggard, Dwight L. and Tourneret, Jean-Yves Lacunarity of Fractal Superlattices: a Remote Estimation using Wavelets. (2005) IEEE Transactions on Antennas and Propagation, 5 (4). 1358-1363. ISSN 0018-926X

(Document in English)

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Official URL: http://dx.doi.org/10.1109/TAP.2005.844434


The lacunarity provides a useful parameter for describing the distribution of gap sizes in discrete self-similar (fractal) superlattices and is used in addition to the similarity dimension to describe fractals. We show here that lacunarity, as well as the similarity dimension, can be remotely estimated from the wavelet analysis of superlattices impulse response. As a matter of fact, the skeleton—the set of wavelet-transform modulus-maxima—of the reflected signal overlaps two hierarchical structures in the time-scale domain: such that one allows the direct remote extraction of the similarity dimension, while the other may provide an accurate estimation of the lacunarity of the interrogated superlattice. Criteria for the choice of the mother wavelet are established for impulse response corrupted by additive Gaussian white noise.

Item Type:Article
Additional Information:Thanks to IEEE editor. The original PDF of the article can be found at http://ieeexplore.ieee.org
HAL Id:hal-03600294
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Other partners > University of Pennsylvania (USA)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Laboratory name:
Deposited On:02 Oct 2009 12:04

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