specparam.modes.funcs.powerlaw_function

specparam.modes.funcs.powerlaw_function(xs, *params)

Powerlaw function, for fitting aperiodic component as 1/f.

Parameters:

xs1d array

Input x-axis values.

*paramsfloat

Parameters the powerlaw (1/f) function: offset, exponent.

Returns:

ys1d array

Output values for exponential function.

Notes

This is an aperiodic fit function, defined for use with LINEAR freqs and LOG power.

Defines a 1/f fit function as:

\[A(F) = 10^b * \frac{1}{F^\chi}\]

Note that the above function form is defined in linear/linear space. The equivalent for linear/log, as implemented in the code, is:

\[A(F) = b - \log(F^\chi)\]