fourier4¶
- mdhelper.fit.fourier.fourier4(x: ndarray, a0: float, a1: float, b1: float, a2: float, b2: float, a3: float, b3: float, a4: float, b4: float, omega: float) ndarray[source]¶
Convenience function for the
fourier4model from MATLAB.\[y=a_0+a_1\cos{(\omega x)}+b_1\sin{(\omega x)} +a_2\cos{(2\omega x)}+b_2\sin{(2\omega x)} +a_3\cos{(3\omega x)}+b_3\sin{(3\omega x)} +a_4\cos{(4\omega x)}+b_4\sin{(4\omega x)}\]- 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.
- a2float
Coefficient \(a_2\) for the second \(\cos\) term.
- b2float
Coefficient \(b_2\) for the second \(\sin\) term.
- a3float
Coefficient \(a_3\) for the third \(\cos\) term.
- b3float
Coefficient \(b_3\) for the third \(\sin\) term.
- a4float
Coefficient \(a_4\) for the fourth \(\cos\) term.
- b4float
Coefficient \(b_4\) for the fourth \(\sin\) term.
- omegafloat
Fundamental frequency \(\omega\) of the signal.
- Returns:
- fitnumpy.ndarray
Fitted \(y\)-values.