neurodsp.aperiodic.conversions.convert_hfd_exponent

neurodsp.aperiodic.conversions.convert_hfd_exponent(hfd)

Convert Higuchi fractal dimension value to expected 1/f exponent value.

Parameters

hfdfloat

Higuchi fractal dimension value.

Returns

exponentfloat

Predicted aperiodic exponent value, representing a 1/f distribution.

Notes

This works for Fractal Dimensions between [1, 2] (inclusive).

References

1

Cervantes-De la Torre, F., González-Trejo, J. I., Real-Ramírez, C. A., & Hoyos-Reyes, L. F. (2013). Fractal dimension algorithms and their application to time series associated with natural phenomena. Journal of Physics: Conference Series, 475, 012002. https://doi.org/10.1088/1742-6596/475/1/012002

Examples

Convert Higuchi fractal dimension value to expected exponent value:

>>> convert_hfd_exponent(1.5)
-2.0