Phys. Rev. E 56, 274–277 (1997)Influence of Gaussian noise on the correlation exponentReceived 20 March 1997; published in the issue dated July 1997 Self-similarity of fractal point sets is broken if the points are contaminated by measurement noise. Different approaches have been taken to calculate the influence of Gaussian noise on the scaling of interpoint distances. We bring the results into a form which makes a comparison possible. Although the approaches use different norms and ways to quantify the scaling behavior, we find that the influence of noise leads to similar deviations from the pure scaling behavior. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.56.274
DOI:
10.1103/PhysRevE.56.274
PACS:
05.45.+b
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