  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.
