The relation of the Allan- and -variance to the continuous wavelet transform
M. Zielinsky and
Received 23 December 1998 / Accepted 14 April 1999
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 -variance, for the characterization of molecular cloud structures. In this study we present the connection between the Allan- and -variance and a more popular structure analysis tool: the wavelet transform. We show that the Allan- and -variances are the variances of wavelet transform coefficients.
Key words: ISM: clouds ISM: structure
Send offprint requests to: email@example.com
© European Southern Observatory (ESO) 1999
Online publication: June 30, 1999