Wavelet <em>q-</em>Fisher Information for Scaling Signal Analysis

Abstract

Abstract: This article first introduces the concept of wavelet <em>q</em>-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<em> q</em>. In the limit of <em>q → 1,</em> wavelet <em>q</em>-Fisher information  reduces to the standard wavelet Fisher information  and for <em>q  > 2</em> 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<em> q</em>-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.<em>263 </em>encoded video signals is presented