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

M. Zielinsky·J. Stutzki
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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.

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M. Zielinsky, J. Stutzki. 1999-04-15. The relation of the Allan- and Delta-variance to the continuous wavelet transform. https://arxiv.org/abs/astro-ph/9904190

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