fourier1

mdhelper.fit.fourier.fourier1(x: ndarray, a0: float, a1: float, b1: float, omega: float) → ndarray

Convenience function for the fourier1 model from MATLAB.

\[y=a_0+a_1\cos{(\omega x)}+b_1\sin{(\omega x)}\]

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.

omegafloat

Fundamental frequency \(\omega\) of the signal.

Returns:

fitnumpy.ndarray

Fitted \(y\)-values.