neurodsp.aperiodic.conversions.convert_exponent_hfd

neurodsp.aperiodic.conversions.convert_exponent_hfd(exponent)[source]

Convert exponent to expected Higuchi fractal dimension value.

Parameters
exponentfloat

Aperiodic exponent value, representing a 1/f distribution.

Returns
hfdfloat

Predicted Higuchi fractal dimension value.

Notes

This works for exponents between [-1, -3] (inclusive). As a special case, if exponent is 0, Higuchi Fractal Dimension is 2.

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 exponent value to the expected Higuchi fractal dimension:

>>> convert_exponent_hfd(-2)
1.5