fourier7

mdhelper.fit.fourier.fourier7(x: ndarray, a0: float, a1: float, b1: float, a2: float, b2: float, a3: float, b3: float, a4: float, b4: float, a5: float, b5: float, a6: float, b6: float, a7: float, b7: float, omega: float) → ndarray

Convenience function for the fourier7 model from MATLAB.

$$y=a_0+a_1\cos (\omega x)+b_1\sin (\omega x)+a_2\cos (2\omega x)+b_2\sin (2\omega x)+\cdots +a_7\cos (7\omega x)+b_7\sin (7\omega x)$$

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.

a5float

Coefficient $a_5$ for the fifth $\cos$ term.

b5float

Coefficient $b_5$ for the fifth $\sin$ term.

a6float

Coefficient $a_6$ for the sixth $\cos$ term.

b6float

Coefficient $b_6$ for the sixth $\sin$ term.

a7float

Coefficient $a_7$ for the seventh $\cos$ term.

b7float

Coefficient $b_7$ for the seventh $\sin$ term.

omegafloat

Fundamental frequency $\omega$ of the signal.

Returns:

fitnumpy.ndarray

Fitted $y$-values.