gauss8

mdhelper.fit.gaussian.gauss8(x: ndarray, a1: float, b1: float, c1: float, a2: float, b2: float, c2: float, a3: float, b3: float, c3: float, a4: float, b4: float, c4: float, a5: float, b5: float, c5: float, a6: float, b6: float, c6: float, a7: float, b7: float, c7: float, a8: float, b8: float, c8: float) → ndarray

Convenience function for the gauss8 model from MATLAB.

\[y=a_1\exp{\left[-\left(\frac{x-b_1}{c_1}\right)^2\right]} +a_2\exp{\left[-\left(\frac{x-b_2}{c_2}\right)^2\right]} +\cdots+a_8\exp{\left[-\left(\frac{x-b_8}{c_8}\right)^2\right]}\]

Parameters:

xnumpy.ndarray

One-dimensional array containing \(x\)-values.

a1float

Amplitude \(a_1\) of the first Gaussian term.

b1float

Centroid \(b_1\) of the first Gaussian term.

c1float

Peak width \(c_1\) of the first Gaussian term.

a2float

Amplitude \(a_2\) of the second Gaussian term.

b2float

Centroid \(b_2\) of the second Gaussian term.

c2float

Peak width \(c_2\) of the second Gaussian term.

a3float

Amplitude \(a_3\) of the third Gaussian term.

b3float

Centroid \(b_3\) of the third Gaussian term.

c3float

Peak width \(c_3\) of the third Gaussian term.

a4float

Amplitude \(a_4\) of the fourth Gaussian term.

b4float

Centroid \(b_4\) of the fourth Gaussian term.

c4float

Peak width \(c_4\) of the fourth Gaussian term.

a5float

Amplitude \(a_5\) of the fifth Gaussian term.

b5float

Centroid \(b_5\) of the fifth Gaussian term.

c5float

Peak width \(c_5\) of the fifth Gaussian term.

a6float

Amplitude \(a_6\) of the sixth Gaussian term.

b6float

Centroid \(b_6\) of the sixth Gaussian term.

c6float

Peak width \(c_6\) of the sixth Gaussian term.

a7float

Amplitude \(a_7\) of the seventh Gaussian term.

b7float

Centroid \(b_7\) of the seventh Gaussian term.

c7float

Peak width \(c_7\) of the seventh Gaussian term.

a8float

Amplitude \(a_8\) of the eigth Gaussian term.

b8float

Centroid \(b_8\) of the eigth Gaussian term.

c8float

Peak width \(c_8\) of the eigth Gaussian term.

Returns:

fitnumpy.ndarray

Fitted \(y\)-values.