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Original Articles

Multifractal Analysis of Airborne Particle Count Data: The Influence of Data Preprocessing

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Pages 12-20 | Published online: 13 Jun 2007
 

ABSTRACT

We analyze particle count data samples (taken from the recordings of aerosol particle sensors in a cleanroom environment measuring particles of size larger than 0.01 μm) by evaluating their multifractal f(α)-spectra. This is done by use of the canonical method. The data samples are preprocessed in various ways: The absolute values of the differences of successive original data values (the “derivative” of the original data) are taken as a measure for the multifractal analysis. Furthermore, the original data values are shifted by an additive constant. These shifts generate interesting effects in the resulting f(α)-spectra if the size of the shifts is comparable to the mean value of the original data set. Additionally, we vary the range of the multifractal parameter q, −q maxqq max. Depending on the structure of a data set, q max must be extended to higher values in order to allow a consistent and meaningful interpretation of the resulting f(α)-spectra and a useful comparison between the f(α)-spectra of different data samples.

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