compute_signal_pvoigt

TRXASprefitpack.mathfun.compute_signal_pvoigt(t: ndarray, fwhm: float, eta: float, eigval: ndarray, V: ndarray, c: ndarray) → ndarray

Compute solution of the system of rate equations solved by solve_model convolved with normalized pseudo voigt profile

\[\mathrm{pvoigt}(t) = (1-\eta) G(t, {fwhm}) + \eta L(t, {fwhm}),\]

G(t) stands for normalized gaussian, L(t) stands for normalized cauchy(lorenzian) distribution

Parameters:

• t – time

• fwhm – full width at half maximum of instrumental response function

• eta – mixing parameter

• eigval – eigenvalue for equation

• V – eigenvectors for equation

• c – coefficient

Returns:

Convolution of solution of rate equation and normalized pseudo voigt profile.

Note

eigval, V, c should be obtained from solve_model.