Accepted:
01 06 1998
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/vol05/sevcik/ | © Copyright 1998 | |||
| Volume 05 | Received: Accepted: |
16 10 1997 01 06 1998 |
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A procedure to Estimate the Fractal Dimension of Waveforms
Carlos Sevcik |
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| Abstract | |
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I derived a method for calculating the approximate fractal dimension
(D) from a set of N values yi sampled from a waveform between
time zero and tmax with sampling interval . The waveform
was subjected to a double linear transformation that maps it into a unit
square. The normalized abscissa of the square is xi*
and the normalized ordinate is yi*, both of them
defined as
where xmax is the maximum xi and ymin and ymax are the minimum and maximum yi. The fractal dimension of the waveform (F) is then approximated by D as where L is the length of the curve in the unit square and N'=N-1. |
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