Wavelet q-Fisher Information for Scaling Signal Analysis
| Autor: | Francisco Manzano-Pinzón, Julio César Ramírez-Pacheco, Deni Torres-Roman, Jesus Argaez-Xool, Joel Antonio Trejo-Sánchez, Luis Rizo-Dominguez |
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| Rok vydání: | 2012 |
| Předmět: |
Discrete wavelet transform
Signal processing business.industry Stationary wavelet transform General Physics and Astronomy Cascade algorithm Pattern recognition Wavelet packet decomposition symbols.namesake Wavelet scaling processes 1/ƒ α processes wavelet information measures q-Fisher information fractional Gaussian noise structural change detection/location breakpoint detection symbols Limit (mathematics) Artificial intelligence Fisher information business Mathematics |
| Zdroj: | Entropy; Volume 14; Issue 8; Pages: 1478-1500 |
| ISSN: | 1099-4300 |
| DOI: | 10.3390/e14081478 |
| Popis: | This article first introduces the concept of wavelet q-Fisher information and then derives a closed-form expression of this quantifier for scaling signals of parameter α. It is shown that this information measure appropriately describes the complexities of scaling signals and provides further analysis flexibility with the parameter q. In the limit of q → 1, wavelet q-Fisher information reduces to the standard wavelet Fisher information and for q > 2 it reverses its behavior. Experimental results on synthesized fGn signals validates the level-shift detection capabilities of wavelet q-Fisher information. A comparative study also shows that wavelet q-Fisher information locates structural changes in correlated and anti-correlated fGn signals in a way comparable with standard breakpoint location techniques but at a fraction of the time. Finally, the application of this quantifier to H.263 encoded video signals is presented. |
| Databáze: | OpenAIRE |
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