Informed Dimension estimate from Spectral Slope (aplha)

Conversion formula: From periodogram based self-affinity parameter estimate (sa) to an informed estimate of the (fractal) dimension (FD).

Usage

sa2fd_psd(sa, ...)

Arguments

sa

Self-Affinity parameter estimate based on PSD slope (e.g., fd_psd()))

...

Other arguments

Value

An informed estimate of the Fractal Dimension, see Hasselman(2013) for details.

Details

The spectral slope will be converted to a dimension estimate using:

$$D_{PSD}\approx\frac{3}{2}+\frac{14}{33}*\tanh\left(Slope * \ln(1+\sqrt{2})\right)$$

References

Hasselman, F. (2013). When the blind curve is finite: dimension estimation and model inference based on empirical waveforms. Frontiers in Physiology, 4, 75. https://doi.org/10.3389/fphys.2013.00075

Author

Fred Hasselman