fact_anal_sum_exp_dmp_osc_conv

TRXASprefitpack.mathfun.fact_anal_sum_exp_dmp_osc_conv(t: ndarray, fwhm: float, tau: ndarray, tau_osc: ndarray, T: ndarray, base: Optional[bool] = True, irf: Optional[str] = 'g', eta: Optional[float] = None, intensity: Optional[ndarray] = None, eps: Optional[ndarray] = None) → Tuple[ndarray, ndarray, ndarray][source]

Estimate the best coefficiets and phase factor of oscillation part when full width at half maximum fwhm , lifetime constant of decay component tau, lifetime constant of oscillation component tau_osc and period of vibration T are given

Supported instrumental response functions are

  1. ‘g’: gaussian distribution

  2. ‘c’: cauchy distribution

  3. ‘pv’: pseudo voigt profile

Parameters

  • t – time

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

  • tau – life time for each decay component

  • tau_osc – life time for each vibration component

  • base – Whether or not use baseline feature for exponential decay component [default: True]

  • T – period of vibration of each component

  • phase – phase factor for each component

  • irf –

    shape of instrumental response function [default: g]

    • ’g’: normalized gaussian distribution,

    • ’c’: normalized cauchy distribution,

    • ’pv’: pseudo voigt profile \((1-\eta)g(t, {fwhm}) + \eta c(t, {fwhm})\)

  • eta – mixing parameter for pseudo voigt profile (only needed for pseudo voigt profile)

  • intensity – intensity of time scan data to fit

  • eps – standard error of data

Returns

Tuple of best coefficient and phase_factor for given decay and damped oscillation component. (c_(decay), phase_(osc), c_(osc))

Note

the dimension of the intensity should be one.