Preprint: The relation of the Allan- and Delta-variance...

[Maik Zielinsky (zielinsky@ph1.uni-koeln.de)]

#8 Preprint: The relation of the Allan- and Delta-variance...

Title: The relation of the Allan- and Delta-variance to the continuous
wavelet transform

Authors: M. Zielinsky, J. Stutzki

Abstract: This paper is understood as a supplement to the paper "On
the fractal structure of molecular clouds" 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.

Status: Accepted by Astronomy and Astrophysics

Available on the Web at:
http://xxx.lanl.gov/abs/astro-ph/9904190