neurodsp.aperiodic.dfa.compute_detrended_fluctuation

neurodsp.aperiodic.dfa.compute_detrended_fluctuation(sig, win_len, deg=1)[source]

Compute detrended fluctuation of a time series at the given window length.

Parameters:
sigarray

Time series.

win_lenint

Window length for each detrended fluctuation fit, in samples.

degint, optional, default=1

Polynomial degree for detrending.

Returns:
det_flucfloat or 1d array

Measured detrended fluctuation, as the average error fits of the window.

Notes

  • DFA was originally proposed in [1].

  • There is a relationship between DFA measures and 1/f exponent, as detailed in [2].

References

[1]

Peng, C.-K., Buldyrev, S. V., Havlin, S., Simons, M., Stanley, H. E., & Goldberger, A. L. (1994). Mosaic organization of DNA nucleotides. Physical Review E, 49(2), 1685–1689. DOI: https://doi.org/10.1103/PhysRevE.49.1685