Next Article in Journal
Potential and Evolution of Compressed Air Energy Storage: Energy and Exergy Analyses
Previous Article in Journal
An Integral Representation of the Relative Entropy
Entropy 2012, 14(8), 1478-1500; doi:10.3390/e14081478
Article

Wavelet q-Fisher Information for Scaling Signal Analysis

1,2,* , 1
, 1
, 2
, 2
 and 2
1 Department of Electrical Engineering, CINVESTAV-IPN Guadalajara Unit, 45019 Zapopán, Jalisco, Mexico 2 Department of Basic Sciences and Engineering (DCBeI), University of Caribe, 77528, Cancún, Q.Roo, Mexico
* Author to whom correspondence should be addressed.
Received: 10 May 2012 / Revised: 13 June 2012 / Accepted: 28 June 2012 / Published: 8 August 2012
Download PDF [1274 KB, uploaded 24 February 2015]

Abstract

Abstract: 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.
Keywords: scaling processes; 1/ƒ α processes; wavelet information measures; q-Fisher information; fractional Gaussian noise; structural change detection/location; breakpoint detection
scaling processes; 1/ƒ α processes; wavelet information measures; q-Fisher information; fractional Gaussian noise; structural change detection/location; breakpoint detection
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Share & Cite This Article

Export to BibTeX |
EndNote


MDPI and ACS Style

Ramírez-Pacheco, J.; Torres-Román, D.; Argaez-Xool, J.; Rizo-Dominguez, L.; Trejo-Sanchez, J.; Manzano-Pinzón, F. Wavelet q-Fisher Information for Scaling Signal Analysis. Entropy 2012, 14, 1478-1500.

View more citation formats

Article Metrics

Comments

Citing Articles

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert