Lacunarity of Fractal Superlattices: a Remote Estimation using Wavelets - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue IEEE Transactions on Antennas and Propagation Année : 2005

Lacunarity of Fractal Superlattices: a Remote Estimation using Wavelets

Résumé

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.
Fichier principal
Vignette du fichier
tourneret_3109.pdf (776.81 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03600294 , version 1 (07-03-2022)

Identifiants

Citer

Yahia Laksari, Hervé Aubert, Dwight L. Jaggard, Jean-Yves Tourneret. Lacunarity of Fractal Superlattices: a Remote Estimation using Wavelets. IEEE Transactions on Antennas and Propagation, 2005, 5 (4), pp.1358-1363. ⟨10.1109/TAP.2005.844434⟩. ⟨hal-03600294⟩
23 Consultations
13 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More