The relation of the Allan- and Delta-variance to the continuous wavelet transform
Astrophysics
2011-05-23 v1
Abstract
This paper is understood as a supplement to the paper by [Stutzki et al, 1998], where we have shown the usefulness of the Allan-variance and its higher dimensional generalization, the Delta-variance, for the characterization of molecular cloud structures. In this study we present the connection between the Allan- and Delta-variance and a more popular structure analysis tool: the wavelet transform. We show that the Allan- and Delta-variances are the variances of wavelet transform coefficients.
Cite
@article{arxiv.astro-ph/9904190,
title = {The relation of the Allan- and Delta-variance to the continuous wavelet transform},
author = {M. Zielinsky and J. Stutzki},
journal= {arXiv preprint arXiv:astro-ph/9904190},
year = {2011}
}
Comments
9 pages, accepted by Astronomy and Astrophysics