Why is f(α) = α for every q value in multifractal analysis?

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quark80
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Has anybody ever come across a dataset which does the following?

I use the continuous multifractal (method of moments) technique to derive for a range of q
[tex]\tau , \alpha , f(\alpha )[/tex]

However I find that [tex]f(\alpha ) = \alpha[/tex] for every value q being examined. Therefore there is strictly no hyperbola for the f(a) curve and the data is therefore can't be multifractal. Right?

Thanks in advance :smile:
 
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Never mind.

Found a paper which discusses the issue in relation to Cantor sets :)

Apparently it just means that it's mono-fractal and not multifractal. Which is what I thought, this paper just confirmed it.

Mods feel free to delete post if necessary.
 
multifractal analysis

Hi all,

I am preparing a thesis at the multifractal and fractal analysis of radar images, to automatically set and remove clutter. I came to develop programs telque boxcountig function and of codimension years .. but I stopped confused when is about to determine the double trace moment ..any idea or just signs from you make me be grateful.

Thanks in advance