gauss3

mdhelper.fit.gaussian.gauss3(x: ndarray, a1: float, b1: float, c1: float, a2: float, b2: float, c2: float, a3: float, b3: float, c3: float) ndarray[source]

Convenience function for the gauss3 model from MATLAB.

\[y=a_1\exp{\left[-\left(\frac{x-b_1}{c_1}\right)^2\right]} +a_2\exp{\left[-\left(\frac{x-b_2}{c_2}\right)^2\right]} +a_3\exp{\left[-\left(\frac{x-b_3}{c_3}\right)^2\right]}\]
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.

Returns:
fitnumpy.ndarray

Fitted \(y\)-values.