fourier2¶

mdhelper.fit.fourier.fourier2(x: ndarray, a0: float, a1: float, b1: float, a2: float, b2: float, omega: float) → ndarray[source]¶

Convenience function for the fourier2 model from MATLAB.

y = a_{0} + a_{1} \cos (ω x) + b_{1} \sin (ω x) + a_{2} \cos (2 ω x) + b_{2} \sin (2 ω x)

Parameters:

xnumpy.ndarray: $x$ -values.
a0float: Constant (intercept) term $a_{0}$ for the $k = 0$ cosine term.
a1float: Coefficient $a_{1}$ for the first $\cos$ term.
b1float: Coefficient $b_{1}$ for the first $\sin$ term.
a2float: Coefficient $a_{2}$ for the second $\cos$ term.
b2float: Coefficient $b_{2}$ for the second $\sin$ term.
omegafloat: Fundamental frequency $ω$ of the signal.

Returns:

fitnumpy.ndarray: Fitted $y$ -values.