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

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

1999-04-15

arxiv.org/abs/astro-ph/9904190v1

Astron.Astrophys.347:630-633,1999

Astronomy and Astrophysics

Astrophysics

9 pages, accepted by Astronomy and Astrophysics

Scientific paper

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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