sum_exp_dmp_osc_conv

TRXASprefitpack.mathfun.sum_exp_dmp_osc_conv(t: ndarray, fwhm: float, tau: ndarray, tau_osc: ndarray, T: ndarray, phase: ndarray, c: ndarray, c_osc: ndarray, base: Optional[bool] = True, irf: Optional[str] = 'g', eta: Optional[float] = None) → ndarray

Constructs convolution of sum of exponential decay and damped oscillation and instrumental response function Supported instrumental response function are

• g: gaussian distribution

• c: cauchy distribution

• pv: pseudo voigt profile

Parameters

• t – time

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

• tau – lifetime of decay

• tau_osc – lifetime of vibration

• T – period of vibration

• phase – phase factor

• c – coefficient for each decay component

• c_osc – coefficient for each vibrational component

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

• 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)

Returns

Convolution of sum of exponential decay and damped oscillation and instrumental response function.